#trigonometry formulas for class 9

[shoorveeracademy2555]

Airforce X and Y Group: Everything You Need to Know

The Indian Air Force conducts the Airforce X and Y Group exam to recruit Airmen for technical and non-technical trades. If you aspire to join the prestigious Indian Airforce, this guide will help you understand the eligibility criteria, syllabus, selection process, and preparation tips.

What is Airforce X and Y Group?

The Air Force X and Y Group exam is a national-level test conducted by the Indian Airforce for Airmen selection in two categories:

Group X (Technical Trade): Focuses on technical fields like aircraft maintenance, radar, and avionics.

Group Y (Non-Technical Trade): Includes medical assistants, logistics, and administrative roles.

Airforce X and Y Group Eligibility Criteria

Age Limit

Candidates must be between 17 to 21 years at the time of application.

Educational Qualification

Group X: 12th pass with 50% marks in Physics, Mathematics, and English or a 3-year Diploma in Engineering.

Group Y: 12th pass with 50% marks in any stream.

Medical Assistant Trade: 12th with 50% in Physics, Chemistry, Biology, and English.

Physical & Medical Standards

Height: Minimum 152.5 cm

Chest: Minimum expansion of 5 cm

Weight: Proportionate to height and age

Vision: 6/6 in one eye, 6/9 in the other

Airforce X and Y Group Exam Pattern

The selection process consists of:

Online Written Test

Physical Fitness Test (PFT)

Medical Examination

Final Merit List

Written Exam Pattern

Group X

Subjects: English, Physics, Mathematics

Duration: 60 minutes

Group Y

Subjects: English, Reasoning & General Awareness

Duration: 45 minutes

Both Groups (X & Y)

Subjects: English, Physics, Mathematics, Reasoning & General Awareness

Duration: 85 minutes

Airforce X and Y Group Syllabus

English

Comprehension

Error Detection

Synonyms & Antonyms

Sentence Formation

Physics (For Group X)

Laws of Motion

Gravitation

Work, Power & Energy

Waves & Optics

Mathematics (For Group X)

Algebra

Trigonometry

Calculus

Probability & Statistics

Reasoning & General Awareness (For Group Y)

Numerical Series

Coding-Decoding

General Knowledge

Current Affairs

How to Prepare for Airforce X and Y Group Exam?

1. Follow a Study Plan

Set daily targets for each subject.

Revise important formulas and concepts regularly.

2. Practice Mock Tests

Solve previous years’ papers.

Take online mock tests to assess performance.

3. Improve Physical Fitness

Regular running (1.6 km in 6.30 minutes).

Practice push-ups, sit-ups, and squats.

4. Join the Best Coaching

Enroll in Shoorveer Defence Academy for expert guidance, experienced faculty, and result-oriented coaching.

Why Choose Shoorveer Defence Academy for Airforce X and Y Group Coaching?

At Shoorveer Defence Academy, we offer:

Comprehensive Study Material

Regular Mock Tests & Doubt Sessions

Physical Training & Fitness Sessions

Interview & Personality Development Classes

With a high success rate and expert faculty, Shoorveer Defence Academy is the best NDA coaching in Rajasthan to help you achieve your Airforce dreams.

Join Shoorveer Defence Academy Today!

Prepare with the best to secure your future in the Indian Airforce X and Y Group. Join Shoorveer Defence Academy and get: ✅ Expert Coaching ✅ Mock Tests & Study Material ✅ Personalized Guidance

👉 Visit Our Website to enroll now!

Start your journey towards success today! 🚀

[kamalsir01]

Why Hiring a Home Tutor in Durg Might Just Save Your Sanity (and Your Kid’s Grades)

Introduction

Let’s be honest—school these days isn’t what it used to be. Back in our time, if you could spell “photosynthesis” and knew the capital of Bhutan, you were a legend. But now? Kids are learning trigonometry in 6th grade, coding in 8th, and submitting PowerPoint presentations with more animations than a Marvel movie.

So if you’re a parent in Durg pulling your hair out wondering how to keep up with your child’s ever-growing syllabus, let me introduce your new best friend: a Home Tutor in Durg.

🎓 Because Google Can't Do Homework (Yet)

We’ve all tried it. Your child asks, “Mumma, what’s the difference between meiosis and mitosis?” and you confidently reply, “Google it beta.”

But here's the twist—you Google it and end up more confused than before. There's a diagram, a scientific explanation, and some terrifying Latin words that make you question your life choices.

This is why hiring a Home Tutor in Durg is not just a luxury anymore—it’s a survival strategy.

📚 What Does a Home Tutor Actually Do?

Think of them as your academic Avengers. They come in, assess your child’s strengths and weaknesses, and tailor their teaching style accordingly. One-on-one attention? Check. No peer pressure? Check. Doubts cleared without fear of judgment? Double check.

Whether your kid is battling with basic math or needs help writing essays that don’t sound like Wikipedia copy-paste jobs, a home tutor steps in like a superhero with a whiteboard marker.

🤔 Wait, Why Not Just Join Coaching Classes?

Good question, oh wise one! Coaching classes are great for some—but let’s be real:

Your child might be one in a herd of 50.

Doubt-clearing? Might take a week (or never).

Distractions? Oh, plenty—especially if their bestie is in the same batch.

With a Home Tutor in Durg, your child gets undivided attention, flexible timing, and sometimes even tea and biscuits (okay, that’s negotiable).

🧠 For the Kids Who Are “Almost There”

There’s a special kind of student who “almost gets it.” You know the one—your kid understands the formula but forgets it during the exam, writes brilliant essays but never finishes on time, or keeps mixing up “their” and “there.”

For these kids, a home tutor is like that missing piece of the puzzle. They don't just teach—they train your child to think, organize, and deliver. And in some cases, remind them where they kept their notes.

🏠 Why Home Tutors Work Better Than YouTube Tutorials

Let’s not kid ourselves—YouTube is awesome. But sometimes it teaches your kid how to play Minecraft better than how to solve quadratic equations.

The difference?

A Home Tutor in Durg won’t let your child pause the lesson and watch cat videos.

They adjust their pace according to the student—not the other way around.

They use real-life examples, which somehow involve your own TV remote, kitchen utensils, or your pet dog—so learning becomes unforgettable.

🧑‍🏫 What Subjects Can a Home Tutor Teach?

Honestly? Everything except how to convince your child to eat karela. But academically, here’s the usual list:

Math (The horror of fractions ends here)

Science (Physics, Chemistry, Biology—not as scary as they sound)

English (Grammar nazis rejoice!)

Hindi (Because “shabd bhed” is still confusing)

Social Studies (Where history doesn’t have to repeat itself in exams)

And if you want advanced stuff like coding, abacus, or even help with Olympiads or NTSE prep—just ask! Durg’s home tutors are leveling up these days.

🔄 Flexibility = Sanity

Here’s the truth: School hours, extracurriculars, surprise guests, and power cuts don’t always follow a schedule. That’s where home tutoring wins.

Morning class? Sure.

After dinner revision? Done.

Sundays only? Why not.

Emergency test prep at 9 PM? Bless that tutor’s soul.

With a Home Tutor in Bhilai, education bends around your routine—not the other way around.

💬 But What If My Kid Is Shy?

Perfect! Home tutoring is made for shy kids. In a calm, distraction-free space like home, even the quietest students open up. They ask questions, make mistakes, and actually enjoy learning (weird, right?).

Plus, home tutors often double as friendly mentors. They get to know your child’s quirks and help them build confidence over time.

📍 Did Someone Say Bhilai?

Okay, let’s give some credit where it’s due. If you’re reading this from Bhilai and feeling left out—don’t worry. There are brilliant Home Tutors in Bhilai too, and they’re equally amazing.

From Sector 10 to Civic Centre, tutors in Bhilai bring all the same benefits:

Subject expertise

Flexibility

One-on-one guidance

And sometimes, the ability to explain math in a way that doesn’t cause tears

So whether you’re from Nehru Nagar, Smriti Nagar, or just somewhere near a steel plant, a Home Tutor in Bhilai is only a call away.

🗺️ Spotlight on Adarsh Nagar – Where Tutoring Gets Personal

If you're lucky enough to live in Adarsh Nagar, Durg, then you're basically in the tutoring jackpot. This area is buzzing with experienced and passionate tutors who believe in more than just finishing the syllabus—they build real understanding.

A Home Tutor in Adarsh Nagar Durg brings:

Personalized study plans

Friendly (but strict!) teaching style

Encouragement that actually motivates

Local accessibility—no long commutes or late-night stress

Students from Adarsh Nagar are scoring better, understanding deeper, and yes, even sleeping peacefully before exams. That’s the power of a good tutor who lives just around the corner.

🎉 Final Bell: The Truth About Home Tutoring

Let’s wrap it up with this: hiring a home tutor isn’t about spoon-feeding or shortcuts. It’s about giving your child the edge they need in a competitive, noisy, overwhelming world. It’s about confidence, clarity, and consistency.

So whether you're eyeing a Home Tutor in Durg, a friendly Home Tutor in Bhilai, or one of those sharp minds teaching in Adarsh Nagar Durg, you’re making a choice that says, “I believe in my child’s potential.”

And honestly, that’s the best kind of support any student can get.

[tutoraunsw]

Guide to High School Tutoring Services for Year 11 and 12 Success

High school tutoring services are nowadays becoming quite important due to increased competition among students to perform better in academics in HSC exams. When it comes to the biology subject, the syllabus is structured to develop students’ understanding of biology as a science, focusing on core topics such as cells as the basis of life, genetic inheritance, and ecosystem dynamics in Year 11. When students progress to Year 12, the syllabus delves deeper into heredity, biological diversity, and contemporary biological advancements.

Similarly, maths is another crucial subject that many times students find difficult to grasp due to insufficient understanding of the basics. Maths tutoring in such cases becomes very crucial and in the Year 11 advanced course, one understands deeply concepts like differentiation, functions, further differentiation, and trigonometry. Also, practice is quintessential for subjects like maths as one needs to try out exam-style questions to get the best results. With mock exams, one not only practices the right questions but also gets the real feel of an exam and hence this makes one more comfortable to face the real exam.

Mathematics is not just about learning formulas as this will not be enough to score well in exams rather one must be well-versed in the proper layout of proofs and mathematical work to score well in exams. Similarly, physics is another subject that requires not just memorising the concepts but also a deeper understanding of the fundamentals for getting the best results in exams. For the HSC exams of physics, one must prepare themselves well in both Year 11 and Year 12. The Year 11 syllabus consists of units of kinematics, mechanical waves, dynamics, non-mechanical waves, thermodynamics, and electricity and magnetism.

In Year 12 physics the syllabus consists of advanced mechanics, electromagnetism, the nature of light, and from the universe to the atom. Both the years’ courses offered by leading tutoring centres have 11 weeks of tutoring and also there are exams at the end to get the students familiarised with the exams.

The leading HSC tutoring centres have the best results when it comes to HSC exams. Get in touch with the leading tutoring centres for your child enrolled in tutoring classes for Years 7, 8, 9, 10, 11, or 12.

Source

[soc-learning]

Top Strategies for Tackling GCSE OCR Math: A Comprehensive Study Guide

When it comes to GCSE OCR Maths, success doesn’t solely depend on natural ability. A well-thought-out strategy can make all the difference. Whether you are confident with numbers or find maths challenging, a structured approach will help you feel more prepared and perform at your best.

At School of Coding, we have years of experience helping students succeed in their GCSE Maths exams. Here’s our comprehensive guide to preparing for OCR Maths, focusing on key strategies that can set you up for success. If you want to dive deeper, we also offer online and offline tutoring through our website SOC Learning.

1. Familiarise Yourself with the OCR Exam Format

The first step to successful revision is understanding what you’re up against. The GCSE OCR Maths exam consists of three papers: one non-calculator paper and two calculator papers. Each section is designed to test your knowledge across a variety of topics, from algebra and geometry to probability and trigonometry. Familiarising yourself with the layout of the exam will give you a clearer idea of what to expect and allow you to plan your revision accordingly.

2. Set a Realistic Revision Schedule

Effective revision starts with a solid plan. Organise your time in advance, allowing more study hours for areas you find tricky while maintaining a balance across all topics. A helpful tip is to break up your study sessions into short bursts. Many students find the Pomodoro Technique useful — studying for 25 minutes, followed by a 5-minute break. This approach can help keep you focused without getting overwhelmed.

3. Prioritise Understanding Over Memorisation

It can be tempting to rely on memorising formulas or procedures, but a deeper understanding of the material will serve you better in the long run. Spend time ensuring you comprehend the underlying concepts behind key topics like algebra, ratios, or geometry. Once you understand the "why" behind a solution, tackling similar questions becomes much easier, even if they’re phrased differently.

4. Practice, Practice, Practice!

Practice is the cornerstone of any good maths revision strategy. The more you expose yourself to different types of questions, the better equipped you’ll be to handle the variety that OCR exams can throw at you. Focus on practising past papers, which are widely available online, and aim to complete them under timed conditions to simulate the exam experience.

5. Tackle Your Weak Points First

It’s natural to avoid topics you find difficult, but tackling them head-on will make a significant difference to your overall performance. Make a list of the areas you struggle with the most — whether that’s quadratic equations or complex fractions — and dedicate extra time to improving them. If needed, consider reaching out for help from a teacher, or sign up for additional tutoring at School of Coding.

6. Take Advantage of Online Tools and Resources

The internet is packed with free resources that can enhance your revision. Websites like BBC Bitesize, Khan Academy, and Corbett Maths offer tutorials, videos, and practice questions covering every topic in the GCSE OCR Maths syllabus. In addition, at School of Coding, we offer tailored tutoring sessions and classes to help GCSE students master difficult concepts.

7. Regularly Review Your Progress

Don’t just move on from a topic after you’ve covered it once. Regular review is critical to cement your knowledge. Make it a habit to revisit notes, past papers, and difficult questions regularly. The more you refresh your memory, the better you’ll retain the information, and the more confident you’ll feel when the exam day approaches.

8. Learn to Manage Exam Time

Time management is crucial in maths exams. Once you're familiar with the question styles, practise completing past papers within the given time limits. Knowing how long to spend on each question will prevent you from rushing or leaving answers incomplete.

9. Stay Positive and Don’t Stress

Maths can be daunting, but try to stay positive throughout your revision journey. Stress can make things seem harder than they actually are. Take breaks, get enough rest, and maintain a healthy balance between studying and downtime. When you approach revision with a calm and determined mindset, you’ll notice a big improvement in your ability to focus and retain information.

At School of Coding, we believe that anyone can achieve great results with the right support. Whether you need help with specific topics or would like guidance with your overall study strategy, our GCSE Maths tutors are here to help you through every step of your revision journey.

For more support or to join our classes, visit SOC Learning and take the first step towards GCSE success!

[e-learningsoftware]

Where do we use Trigonometry, Electricity, quadratic equations learnt in class 7th 8th 9 th. In real life.

When I was a student, I’d often get frustrated with subjects like mathematics and physics. I would always question myself if I was doing anything productive by learning and practicing formulae of trigonometry and concepts like electricity.

https://www.digitalteacher.in/blog/where-do-we-use-trigonometry-electricity-quadratic-equations-in-real-lif/

[daisystudies]

hey guys!! 

so i love math as much as the next guy, but i think we can all agree that it is one of the hardest subjects to study for. 

so, without further ado, here are some tips on how to study math!

1. - ̗̀invest in a whiteboard! ̖́- the most helpful tool i used in AP calc was my giant whiteboard. this way you can go through practice problems quickly (and let’s be real- white boards are more fun than paper).

2. - ̗̀watch youtube videos on the topic you’re studying! ̖́- never underestimate the power of a good khan academy video. these will not only give you an explanation of the topic other than what your teacher gave you, they will also give you more practice problems to work on.

3. - ̗̀don’t just learn how to do each topic, learn the theorem! ̖́- if you learn WHY something is rather than HOW something is, it’ll make more sense to you and make working out the problem a little more clear. there are youtube videos explaining this!!

4. - ̗̀create a unit “cheat sheet”! ̖́- i did this throughout high school and it saved my life. at the end of each unit, or as you go along, create a cheat sheet by listing each topic within the unit, the formulas needed for the topics, how to do each problem, the theorem, etc.

5. - ̗̀review old quizzes! ̖́- the mistakes you make on your quizzes you are likely to make on the test. review the quizzes, rework the problems, and fix your mistakes! quizzes also give a good preview of what’ll be on the test.

6. - ̗̀find your notes from old classes! ̖́- are you in calculus, but you’re having trouble remembering the unit circle from trigonometry? go to your old notes. trust me.

7. - ̗̀take your time when practicing problems! ̖́- if you go quickly, you’re more likely to make silly mistakes. take your time, even if you don’t have a lot of it, so you can focus on how to do each problem rather than the small mistakes you make.

8. - ̗̀make a quizlet for your formulas! ̖́- studying for math the night before the test would be a lot easier if you already had the formulas memorized, right? make the quizlet in advance and flip through it while you’re in the car, in line, etc.

9. - ̗̀quality over quanitity! ̖́- while doing practice problems, don’t just do a bunch of basic questions. that’s a huge waste of time. do a couple at each difficulty, so you aren’t wasting your time on doing a bunch of questions you know you can do.

10. - ̗̀make a study plan! ̖́- using the cheat sheet i mentioned in number 4 or just a list of topics on the exam you are studying for, create a study plan that covers a couple of topics each day. this way you can thoroughly delve in to each one without overworking yourself the night before the test.

i hope these help! if you have anything you like to do but that i didn’t include, please reblog with them to help some students out! 

as always, thanks for reading x

[shielddefenceacademy24]

NDA-2 2025 Exam Preparation: The Ultimate 90-Day Action Plan

NDA-2 2025 Exam Preparation: The Ultimate 90-Day Action Plan by Shield Defence Academy

Are you dreaming of joining the Indian Armed Forces? Then, the NDA-2 2025 Exam could be your ticket to an elite career. Held by the Union Public Service Commission (UPSC), this exam opens the gates to the prestigious National Defence Academy (NDA). This article is your complete roadmap — NDA-2 2025 Exam Preparation: The Ultimate 90-Day Action Plan — crafted for anyone serious about clearing it in one go.

Understanding the NDA-2 2025 Exam Structure

Subjects and Syllabus Overview

The NDA-2 exam consists of two papers:

Mathematics (300 marks)

General Ability Test (GAT) (600 marks) — covering English, General Knowledge, Current Affairs, Science, History, Geography, and Polity.

Exam Pattern

Duration: 2.5 hours per paper

Mode: Offline

Language: Bilingual (English & Hindi)

Negative Marking: Yes (0.33 marks deducted per wrong answer)

Marking Scheme

Mathematics: +2.5 per correct answer, -0.83 per wrong one

GAT: +4 per correct answer, -1.33 per wrong one

Setting Your Goals for the 90-Day Journey

Before we dive into the plan, let’s set the right mindset.

How to Set Realistic Study Goals

Break down the syllabus. Make weekly targets. Track your progress. You don’t need to be perfect — you need to be consistent.

Importance of Discipline and Consistency

Studying for NDA is like training for a marathon. Missing a day is like skipping a lap. Stay on track, and results will follow.

NDA-2 2025 Exam Preparation: The Ultimate 90-Day Action Plan

Phase 1 – Days 1 to 30: Foundation Building

English Grammar and Vocabulary

Learn 10 new words daily.

Cover grammar rules: tenses, voices, narration, articles.

Practice comprehension passages and cloze tests.

Basic Mathematics Skills

Revise Class 9 & 10 topics: algebra, trigonometry, geometry.

Practice daily: 25-30 problems minimum.

General Science and History Overview

Start with NCERTs.

Watch topic-wise YouTube videos.

Make flashcards for quick memory.

Phase 2 – Days 31 to 60: Concept Clarity & Practice

Strengthening Core Concepts

Focus on tricky topics: calculus, matrices, and grammar exceptions.

Spend more time on weak areas.

Daily Mock Tests and Previous Year Papers

Solve one paper every two days.

Analyze errors. Revise weak spots immediately.

Time Management Strategies

Use Pomodoro Technique (25 min study + 5 min break).

Prioritize high-weightage topics.

Phase 3 – Days 61 to 90: Final Revision & Exam Readiness

Solving Full-Length Tests

Attempt tests under real exam conditions.

Review and improve test-taking strategies.

Revision Techniques

Make cheat sheets.

Focus on key formulas, historical dates, and vocab.

Mental Preparation and Confidence Building

Visualize your success.

Practice breathing exercises for calmness.

Daily Routine of an NDA Aspirant

Sample Daily Time TableTime SlotTask5:30 AM – 6:00 AMWake Up + Meditation6:00 AM – 8:00 AMMathematics8:00 AM – 9:00 AMBreakfast + Break9:00 AM – 11:00 AMGAT English11:00 AM – 1:00 PMScience / History1:00 PM – 2:00 PMLunch + Rest2:00 PM – 4:00 PMMock Test4:00 PM – 5:00 PMBreak / Exercise5:00 PM – 7:00 PMTest Analysis / Doubts7:00 PM – 8:00 PMDinner8:00 PM – 9:00 PMVocabulary / Current Affairs9:30 PMSleep

Study vs Rest Balance

Rest is as important as study. Sleep well. Stay active.

Smart Tips to Crack NDA-2 2025 in First Attempt

Be Regular: Don’t cram, plan.

Don’t Skip Mock Tests: They simulate the real thing.

Avoid Multitasking: Focus on one subject at a time.

Stay Healthy: A healthy mind sits in a healthy body.

Best Books and Resources for NDA-2 2025 Exam Preparation

Recommended Books

Mathematics: RS Aggarwal, NDA Pathfinder (Arihant)

English: Wren & Martin, Word Power Made Easy

GAT: Lucent’s GK, NCERTs (6–10), Manorama Yearbook

Online Platforms

Unacademy

YouTube (Major Kalshi Classes, StudyIQ)

Testbook

BYJU’s

The Role of Coaching vs Self-Study

Pros and Cons

CoachingSelf-StudyExpert GuidanceFlexible TimetableDoubt SolvingSaves MoneyRegular TestsPersonalized Pace

Choose based on your learning style and budget.

Mock Tests – The Game Changer

Don’t underestimate the power of practice exams. Attempt 20+ mocks before D-Day. Analyze every test — it’s your growth mirror.

Handling Exam Stress and Staying Motivated

Talk to mentors or peers when stuck.

Take breaks and pursue a hobby.

Motivation is like bathing — do it daily.

Revision Checklist – What You Must Not Miss

Formulas in Maths

English Grammar Rules

Important Dates in History

Geography Maps

Defense-related Current Affairs

Nutrition, Sleep, and Fitness for Peak Brain Performance

Diet Tips

Eat protein-rich and iron-rich foods.

Avoid junk and sugar rushes.

Fitness Routine

30 mins walk/jog daily.

Stretching and basic strength workouts.

What to Do One Week Before the Exam

Stop learning new topics.

Light revision only.

Solve 2–3 mock tests.

Pack documents, ID, stationery in advance.

Conclusion for NDA-2 2025 Exam Preparation: The Ultimate 90-Day Action Plan

So there you go! This was your complete guide to NDA-2 2025 Exam Preparation: The Ultimate 90-Day Action Plan. Stick to this plan, stay consistent, and don’t forget to believe in yourself. You’re not just preparing for an exam; you’re preparing for a life of honor, courage, and discipline. So buckle up and charge ahead. Jai Hind!

[tipsyylove]

TEENAGERS; PART SEVEN

b r o w n i e s

you and taeyong go on another date, but, something happens.

warnings: language, underage drinking

NOTE: i don’t condone underage drinking, and neither should you. thank you.

a/n: sorry if it seems rushed, i did most of it in about three hours, so sorry. here it is.

your alarm was extra loud this morning. but, you noticed that you had gotten a text from taeyong, at 5:09 am this morning.

taeyong: hi hi, wanna go out again tonight? it doesn’t have to be all night, being that it’s tuesday, i can take you back home in time :))

you: yeah, definitely. pick me up at about 6-ish?

taeyong: perfect, we can go out to eat tonight too, maybe go back to my place?

you: yeah! see you at school.

“already on your phone, huh, miss (y/n). what a shame.” johnny says, shaking his head.

“shut up, suh. i have plans again tonight. can you guys hold up by yourselves until like 9 or later maybe?”

“sure, being that there’s still gonna be three adults around. but, you’re their favorite, so it might be hard.” he said, shrugging.

“shut up. they’ll be fine.” you said, getting up to get ready.

as you were walking out, yuta stopped you, letting johnny and jaehyun go outside.

“so, you’re going out with taeyong again tonight?” he asked.

“yeah, he said he was gonna take me to dinner.” you said, getting excited.

“oh, sounds fun, don’t have too much fun, okay?” he cocked his eyebrow at you.

“yes, sir.” you said, saluting him as a joke.

he laughs, “let’s get going, they’ve been waiting long enough.” he spoke, leading you out.

as per usual, when arriving at school, you saw taeyong, this time with firey red hair. it looked fucking godly on him, and you never wanted him to change it. damn it. this man truly was the love of your life. but, that’s a dumb thought. you’re in high school. it’s not like you’re gonna go get married after high school, but, boy, did you want to. especially to lee taeyong.

“hi, (y/n)! you excited for tonight?” taeyong nearly yelled at you.

“why wouldn’t i be excited? who do you think i am?” you sassily replied.

“why do i even bother asking? anyways, how are you?” he asks.

“i’m doing amazing. how are you?”

“i’m doing well. i’m so excited for tonight.” he smirks at you.

“i’m glad. why don’t we walk to class together?” you ask.

“ladies first.” he gestures in front of him. you led the way inside, to your trigonometry class.

fuck trigonometry. triangles can suck your ass for all you care. the only thing that you enjoyed about this class was getting to know taeyong more. today was a half day, so you only had three classes and lunch for the day, and then you could go home. it would give you time to hang out with the youngins more, being that you never really do. you could do some things with them that they might enjoy, and could still go out with taeyong later.

“wait, what’s the formula again?” taeyong asked.

“you’re joking, right?” you cocked your eyebrow at him.

“no, i’m not.”

you wanted to laugh, but you didn’t want to be mean.

“a squared + b squared = c squared. so what you’re gonna do is take the a side and b side and square them and-”

“i’m kidding. i know how to do it. i’ve been in this class for a semester. i just like seeing you talk smartly about things. i love when you do it.” he professed.

this caused you to blush. you just got complimented by your crush. what the fuck.

“wow, didn’t know it would have that much affect you that much.” he said, staring at your cheeks.

you quickly covered your face, not wanting to be seen by him anymore. he had way too much effect on you for comfort.

“don’t cover up that beautiful face of yours, princess” taeyong said, taking your hands off of your face. fuck. in public, taeyong? really?

but, you had forgotten that yuta was also in that class. along with jaehyun. they were seat partners in the class that sat right behind you. they had probably heard the entire conversation. you didn’t want to face them, but they were in your other two classes for the day and at next to you in both. fuck.

the bell rang, and you were so nervous to face the other two, so you walked with taeyong to your next class.

you saw johnny, yuta, and jaehyun all sitting at your table already. it was kinda nice to have them in your math class. they were always super helpful in that class. but, today, you were not having it.

“so, miss (y/n), he is even calling you ‘princess’ in public? fucking weirdo. why do you like him again?” jaehyun asks you.

“shut up. it’s a joke. he doesn’t mean it. don’t call him that.” you said, rolling your eyes.

“jaehyun. don’t.” yuta says.

“thank you, bud.” you said, sitting down.

the bell rang shortly after.

when you walked out of your classroom, you saw taeyong standing there. you walked up to him instead of walking with the other boys to your next class.

“wanna ditch?” he whispers to you.

“hold on- what? like, actually?” you question him.

“yeah, totally. then we can just leave to lunch and go home. you down?”

this was weird coming from him. he has really good grades in his classes, so why in the world would he wanna ditch? but, you agreed anyways.

“sweet, let’s go, quick.” he said, grabbing your hand and leading you to the front doors.

you guys had ended up walking to a local park, since it was such a nice day. there was no one there, which was nice. the other boys were blowing up your phone, but you didn’t really care at the moment.

“hey, is it cool if one of my friends joins us? he isn’t too much to handle, i promise.” he spoke.

“yeah, definitely. what’s his name?” you asked.

“his name is mark. everyone thinks that we’re brothers, since we have the same last name, but we’re not. sound familiar?”

“oh, then, yeah, definitely. he seems cool.” you said, looking at the clouds.

“great, there he is now.” he pointed in front of you guys and waved at ‘mark’.

when he got closer, you could see how alluring he was. he had golden blonde hair, which obviously wasn’t his natural color, but it looked good on him. he had golden skin, and a shy voice.

“this is the famous (y/n)? the one you’re always talking ab-” mark got cut off by taeyong.

“mark, (y/n), (y/n), mark.” taeyong introduced you two.

“nice to meet you, mark.” you said, smiling at him.

“you too.” he smiled back, shyly.

this was gonna be fun.

you three ended up going to mcdonald’s for lunch, and then split after. you got mark’s number in advance, though, so you could talk later. you had to make it back to school, so that you could get a ride home, and have more time to get ready for later. you nearly ran when you saw yuta’s car parked in the parking lot still. relief was all you felt. but, again, facing them would be hard.

“hello, miss (y/n), how was ditching class?” jaehyun smugly asked you.

“it was great. i made a new friend. can we go home now?” you asked, looking directly at yuta.

“yep, the youngins are getting impatient.” yuta said, checking his phone.

“let’s get going then, folks!” johnny said.

you had let johnny, jaehyun, and yuta go out for a bit until you left, so you could hang out with the youngins by yourself. you enjoy hanging out with them, but you never really have time to do so, being that you always have to study.

“let’s watch a movie, and then i have to get ready. then, the other three should be back. sound good?” you asked all six of them. they all nodded, and you put on the classic “train to busan”.

the movie went by so fast, and it was now 5:55. the other three had come back, and you got ready for your date. you didn’t overthink anything this time, though. you just threw on a dress and put your hair up. you two were now practically comfortable with each other, so what did it matter? you heard a ring of the doorbell, and rushed downstairs.

“ready?” taeyong says, after you answer the door.

“duh. bye everyone!” you waved at everyone, them waving back.

in the car, you had found out that taeyong had made fake i.d’s for the both of you. it made it so that you were both to appear 21. sure, it was illegal, but to get into the club he wanted to go into, you needed to be 21. this is the best bar in town. so, of course he was gonna take you.

“alright, y’all are good, head on in.” the bouncer said.

“yes!!” you guys celebrated in unison when walking in.

you guys sat down at the bar, and ordered some shots. you guys didn’t want to get completely wasted, being that it is your first time drinking. so, you only bought about three shots each. there was a hockey game on, which you didn’t really care about, but it kept you occupied.

“did i mention how good you look? red suits you.” taeyong eyed you, biting his lip.

“thank you, mr. button up and dress pants.” you punched his arm.

“don’t be creepy, biting your lip n’ shit.” you said to him.

“sorry, i can’t help it when you look this good.” he blushed.

“that’s STILL creepy.” you punched his arm, yet again.

“it’s my drunk talking.”

“you had one and a half shots.” you rolled your eyes at him.

“whatever, let’s go back to my place, it’s already 7.” he said, checking his phone clock.

“whatever you say, sir.” you said, saluting him.

his house was so small, but, it was so nice. it had the most beautiful wooden floors, white walls, and smooth ceilings. he was the only one living there, you assumed, being that it was so small. his couch and tv were so big, though. everything about his house was so nice.

“i made brownies. would you like one?” taeyong asked, holding a brownie out to you.

“yeah, sure? why not?” you said, taking one from his hand.

you quickly took a bite out of it, and noticed how delicious it was. it had chocolate chips in it, and was super gooey. perfect. 

your shoes were already off, and you were so comfortable at his house, you felt like you  could fall asleep right there.

“do you want me to text them for you, saying you aren’t gonna make it home?” taeyong whispered to you, noticing you were almost asleep.

“please do. thank you so much.” you said.

“no problem.” he said, grabbing your phone and unlocking it with your fingerprint. genius.

“it’s done. sleep well, princess.” he said, kissing your forehead.

that’s when you blacked out completely.

part one | part two | part three | part four | part five | part six | part seven |

[she-who-fights-and-writes]

How does middle/high school work, what's it like and what's the difference between the two? I really need some help! (I know this is a weird question but I was homeschooled most of my life so I have no idea how middle/high school work and what's it like.)

No problem!

How to Write About Middle School/High Schools

Middle school and high school are key times within a child’s life.

Gone are the days where they only had one teacher to tell them everything; now they have to change classes and have harder content that they have to study.

There’s more friend drama now that they’re all developing their own identities and their sense of who’s a good person and who’s not, and along with that comes astronomical stress compared to their elementary school years.

There’s also puberty, which sucks, and the beginnings of serious extracurricular activities that require a lot of time and dedication.

*This may vary from school to school*

Middle school = Grades 6-8 (Kids 11 to 13)

High school = Grades 9-12 (Kids 14 to 18)

Since many people have no idea how to write about schools, whether they be homeschooled or have graduated a while ago, here’s a few tips on how to write middle school and high school.

Just a note that I’m going to be describing public schools and not private schools, Also, schools are going to be different across the country; I’m a New Yorker, and my school knowledge and experience can be way different than those of someone who went to school in the south or in the midwest.

**IMPORTANT NOTICE!**

“High school” and “middle school” are not capitalized! Only capitalize it when you’re saying the name of the school. (Example: Eldridge Middle School)

1. Know What Grades Take Which Courses (AKA Know All the Technical Stuff)

Nothing demonstrates complete lack of knowledge about the school system than not knowing the basic technical side of it, such as which grades take which classes. Aside from various exceptions, an eighth grader isn’t going to be taking Physics and a twelfth grader isn’t going to be taking Biology.

Here’s the list of the core classes in middle school and high school:

English

Math

Science

Social Studies

Foreign Language

These classes are going to be the hardest and the ones that the students stress out the most about.

Grade 6

- English

Read things like The Lion, The Witch, and the Wardrobe and Tuck Everlasting

- Math

Multiplication and division

Decimals

- Science

Basic physics…like, very, very, very basic. Also a bit of chemistry.

-Social Studies

Ancient history

Mesopotamia, Egypt, Greece, Rome, Persia, China, India, Renaissance, etc.

- Foreign Language

In my school, we didn’t start a foreign language until seventh grade.

This year is very stressful because it’s the transition from elementary to middle school. They now have things like detention and multiple teachers and changing classes.

Grade 7

- English

Reading books like My Fair Lady, The Miracle Worker, The Pearl, etc.

- Math

Starting to work with “x.”

Percents, statistics, basic algebra.

- Science

Basic biology

- Social Studies

Beginnings of US history. From the Native Americans to the Industrial Revolution.

- Foreign Language

Very basic facts

How to say hi, describe yourself, furniture, food, activities, ask questions, etc.

This is a pretty chill year. You’re all adjusted from last year and have more stable friendships.

Grade 8

-English

Reading books like Call of the Wild, The Outsiders, the White Mountains.

Starting to get into Shakespeare

More in-depth analysis

-Math

Algebra

Equations, find x, etc.

-Science

Earth Science

Rocks, weather, space, etc.

-Social Studies

End of US history, from the Industrial Revolution to present day

-Foreign Language

Developing the basics learned in seventh grade.

This year can be hard because students start taking more difficult, high-school level classes.

Grade 9

- English

Reading books like To Kill a Mockingbird, Of Mice and Men, Great Expectations, and Romeo and Juliet

Introduction to research papers

- Math

Geometry

Learning about shapes and how to find the area and sides

Most useless math there is unless you want to build things

- Science

Biology

Learning about living things, cells, ecosystems, etc.

- Social Studies

Global History

Beginning of the world to the Renaissance

- Foreign Language

More complex sentence structure. Learn different tenses other than the present tense.

Yikes! This year is incredibly hard; high school is so much more difficult than middle school! There’s an open campus and a lot more freedom, but there’s also a lot more room for error. The first year where the grades start actually counting.

Grade 10

- English

Reading books like Macbeth, The Picture of Dorian Gray, The Canterbury Tales, Beowulf, and Animal Farm.

- Math

Trigonometry/Algebra II

Very difficult Algebra and Trigonometry

- Science

Chemistry

Learning about molecules, elements, formulas, and reactions.

This is the science with the periodic table and mixing stuff that blows up.

- Social Studies

Global History

The Renaissance to present day

- Foreign Language

Learning new tenses other than Past, Present, and Future (Ex: Imperfect, Conditional)

This year is okay. Mostly spent worrying about Junior year.

Grade 11

- English

Reading books like Hamlet, The Great Gatsby, and Farenheit 451

- Math

Pre-Calculus

Yikes

- Science

Physics

Also Yikes

Learn the science of movement

- Social Studies

Complete US History

Advanced Placement US History is abbreviated to APUSH (pronounced ay-push)

- Foreign Language

Same class but hard now

This year is very stressful because it’s the year that counts the most; colleges look mostly at the grades from this year.

Everyone is freaking out and taking AP and SAT and ACT prep classes. A shit-show in its purest form.

Grade 12

- English

Read books like Othello, The Crucible, and The Scarlett Letter

Senior paper

- Math

Calculus

YIIIIIIIIKKKKKEEEEESS

College course

- Science

AP Biology, Chemistry, or Earth Science 

Students must choose one or the other or an elective science like Marine Biology or Anatomy

- Social Studies

Government and Economics

Two courses that are each only a semester long. You either take one class for the first semester and switch to the other class second semester or switch the classes every other day

- Foreign Language

Nobody even cares anymore

This year is the most fun year of high school; although some colleges do still look at the grades, many students are already committed to college and get a case of “Senioritis” which is when they let their grades slip and take it easy because they don’t have to worry about impressing colleges.

OKAY THAT TOOK A LOT MORE TIME THAN IT SHOULD’VE

2. Know the Types of Classes

Depending on their skill level in the area, kids can take a variety of different versions of these core classes. There’s reagents classes, honors classes, and advanced placement (AP) classes.

At least in New York, reagents classes take state-made reagents at the end of the year as a final exam.

Honors classes are basically advanced versions of reagents classes. They teach at a faster pace and go more in-depth into the topics. They, too, take reagents at the end of the year.

AP classes are the hardest of them all. They’re college-level classes and make students eligible to take the AP test. Depending on what score they get on the AP (1-5), they can skip the 101 classes in college.

(Example: If a girl gets a 4 on the Global History AP, she can skip Global History 101 in college)

Junior year is also the year students take the SAT and ACT, huge tests that are very important for college.

Other schools may have other kinds of classes like IB, but this whole list is JUST ACCORDING TO MY EXPERIENCES.

3. Just Know that School Is Not the Worst Place on Earth

Although there are certain times when school can be the absolute worst thing ever and there are a lot of flaws in the education system, it’s not all downsides!

School is a place where you learn new things, meet new friends, and get to hang out with people you wouldn’t hang out with otherwise.

There are extracurricular activities available for FREE that you can join, and aside from being academic, school sponsors a very nice social climate that is crucial for kids to develop skills in communication and interaction with others.

Of course, high school is also the place where people start getting into serious relationships, which you can research here.

I really hope this helped!

[abhikeshtarwan]

Trigonometry Formulas - Abhikesh Tarwan

Trigonometry Formulas – Abhikesh Tarwan

NCERT Solutions for Class 9

FOR 2020 EXAMS

Learn CBSE

NCERT Solutions for Class 6, 7, 8, 9, 10, 11 and 12

Trigonometry Formulas

December 31, 2018 by Veerendra

Trigonometry is a branch of mathematics that deal with angles, lengths and heights of triangles and relations between different parts of circles and other geometrical figures. Maths…

[cbsesamplepapersblog]

Class 12 Maths Sample Papers are most important for you and especially during last month preparations, but you may also require these tips to score a perfect 100/100.

[justperu]

Construction of an altitude geometry

Expand index (42 more) » « Shrink index Acacia (fraternity)Īcacia (Ακακία) is a social fraternity founded in 1904 at the University of Michigan in Ann Arbor, Michigan. , Latin letters used in mathematics, Line segment, List of geometry topics, List of Greek and Latin roots in English/C, List of interactive geometry software, List of numbers, List of theorems, List of triangle inequalities, List of triangle topics, Medial triangle, Median (geometry), Midpoint, Midpoint polygon, Musselman's theorem, Nine-point center, Nine-point circle, Nine-point conic, Nine-point hyperbola, Olry Terquem, Orthocentric system, Orthocentroidal circle, Orthodiagonal quadrilateral, Pedal triangle, Perpendicular, Polar circle (geometry), Pythagorean theorem, Quadrilateral, Right triangle, Similarity (geometry), Simson line, Solution of triangles, Tangential quadrilateral, Tangential triangle, There is No Natural Religion, Triangle, Triangle center, Triangular prism, Trigonometry of a tetrahedron, Trilinear coordinates, Trilinear polarity, Van Lamoen circle, Viviani's theorem. ĩ2 relations: Acacia (fraternity), Acute and obtuse triangles, Altitude (disambiguation), Angle bisector theorem, Area, Barycentric coordinate system, Base (geometry), Cathetus, Central line (geometry), Centre (geometry), Centroid, Cevian, Circumconic and inconic, Circumscribed circle, Collinearity, Compass-and-straightedge construction, Complete quadrangle, Concurrent lines, Conway triangle notation, Cubic plane curve, Cyclic quadrilateral, De Longchamps point, Dissection into orthoschemes, Droz-Farny line theorem, Encyclopedia of Triangle Centers, Equilateral triangle, Equivariant map, Euler line, Exeter point, Extended side, Fagnano's problem, Fuhrmann circle, Geometric mean theorem, Giovanni Fagnano, Harmonic mean, Height, Height (disambiguation), Heptagonal triangle, Heron's formula, Heronian triangle, Hilbert space, Holditch's theorem, Hyperbolic sector, Incenter, Incircle and excircles of a triangle, Integer triangle, Isogonal conjugate, Isosceles triangle, Johnson circles, Kenneth Wayne Bushnell. In geometry, an altitude of a triangle is a line segment through a vertex and perpendicular to (i.e., forming a right angle with) a line containing the base (the side opposite the vertex). A right triangle when one side is 3.5 cm and sum of other sides and the hypotenuse is 5.5 cm.A triangle PQR given that QR = 3cm, ∠PQR = 45° and QP - PR = 2 cm.A triangle if its perimeter is 10.4 cm and two angles are 45° and 120°.An equilateral triangle of altitude 6 cm is constructed above Give justification for your construction.Īn Equilateral triangle is a triangle in which all three sides are equal and angles are also equal. NCERT Exemplar Class 9 Maths Exercise 11.4 Sample Problem 1 Construct an equilateral triangle if its altitude is 6 cm. ☛ Also Check: NCERT Solutions for Class 9 Maths Chapter 11 Give justification for your construction. ✦ Try This: Construct an equilateral triangle if its altitude is 5 cm. Thus, an equilateral triangle with altitude 6 cm is constructed. ∆ABC is an equilateral triangle with AD of length 6 cm ∠A = 30° + 30° = 60° and AD is perpendicular to BC ∠CAD and ∠BAD where B and C lie on the line XYĥ. Generate 30° at A on both sides of AD, i.e. Now cut a line segment AD from D which is equal to 6 cmĤ. Construct a line XY and consider a point D on this lineģ. Give justification for your construction.ġ. Construct an equilateral triangle if its altitude is 6 cm.