#inverse trigonometric functions

[tarafresa]

[redspacegirl]

arc guy...

[torqued-queer]

I always fuck up doing trigonometric functions on virtual calculators 🙄

[ataraxixia]

hiii can you write abt ratio and sunday w a reader who gets overstimmulated at parties or just hanging out with friends and they get really mean when overstimmulated <3 like how would they help their partner out yk

  ❦  𝐒𝐘𝐍𝐎𝐏𝐒𝐈𝐒. how they help you out when you're overstimulated ❧ tags. Ratio x reader, sunday x reader, fluff, comfort, sfw ❧. a/n. of course, and thank you for your request, love <3 btw i'm not familiar with what it's like to help an overstimulated person so I did some research before writing- I apologize if I wrote something wrong

𝐕𝐄𝐑𝐈𝐓𝐀𝐒 𝐑𝐀𝐓𝐈𝐎

"By the Aeons, do you people ever shut up?" you spat to a group of young students, meaner than you intended to, but you couldn't really help it at the moment. The hall was full to the brim- packed with endless members of the Intelligentsia Guild. There were just too many- bragging loudly about their scores of their last exams or simply discussing different subjects with no end. Without saying anything to the students, you quickly walked to one of the corners, covering your ears to shut out the noise. You had difficulties focusing, and the discomfort was creeping up your whole body. You tried to calm down, taking deep breaths and imagining being back home in your cozy and quiet living room. Yet, the constant talking, laughing and arguing made it entirely impossible.

You slumped down the wall, sitting down and resting your head between your legs. You groaned as you shut your eyes, not noticing the person standing beside you.

"―? What are you doing?" they asked. "Why do you care?"

"Because I'm your boyfriend, obviously."

You let out a noise of confusion before you lifted your head and looked to the side, seeing your boyfriend, Veritas, leaning on the wall and focused on you. He crouched down beside you and placed his hand on your forehead, a frown appearing on his face. Your face was pale yet your forehead was quite hot.

"Why didn't you say anything earlier? I would've brought you home." he said, removing his hand. Your gaze shifted to the side, your fingers twitching a little. "I didn't find you. There were a lot of people." it was the truth. From the moment your senses became a bit heated, you looked around, walking from venue to venue to find Ratio, yet it seemed like he just disappeared into thin air.

"I was looking for you as well. Figured out you didn't like it here." Ratio held you by the arms and helped you stand up straight, steadying your body with his from falling down. "Let's go home now." You thanked the Aeons as you nodded, and the two of you made your way to the exit.

"Ah, Dr. Ratio!" one of the members shouted. "I wanted to tell you about the integrals of inverse tri-"

"Your integrals of inverse trigonometric functions exam, in which you barely passed with 71%? I'd rather not. Now excuse me, we're making our leave."

Well that shut him up quickly, you thought.

-

"..." Veritas stayed silent when you were back home. The two of you sat on your shared couch and he massaged your back gently, never pressing anywhere too hard to help you relax. he also made something to drink and some snacks for you, but you simply stayed still as you relished in the massage. It always seemed to calm you down.

"Thanks, I feel better now."

𝐒𝐔𝐍𝐃𝐀𝐘

"I'm fine, I already told you!"

The other members of The Family looked at you with wide eyes as you snapped at Sunday. He noticed you behaving rather different today and wanted to make sure you were okay, but after asking if you were feeling well- that was your last straw.

You quickly made your way, left through one of the many halls in Dewlight Pavilion and shut the door behind you vehemently. When you weren't hearing any chatter anymore, you relaxed a tiny bit, yet you couldn't stop fidgeting with your fingers, the voices of The Family lingering in your mind, still.

Being the lover of the head of the oak family was no easy matter by itself. Doubt amongst The Family members and the locals of Penacony occurred overnight and the feeling it left you with wasn't pleasant- not at all. Now, a gathering with all members of The Family, where the majority didn't like you and talked behind your back, was too much. You lost your focus at the very beginning already and the meltdown just now was what you needed to actually leave.

You sat down on one of the many couches that were scattered across the Pavilion and took a deep breath, focusing on you, and you only, your head hanging low. You had noticed the Origami Birds on the railings and thanked them in your mind for not chirping- or making any noise at all, actually.

"I apologize, I didn't mean to make you feel angry."

You recognized your lover's voice and sighed, shaking your head softly as you mumbled, "don't. I was just..."

Sunday sat beside you and draped a blanket over your shoulders. A weighted one, you noticed. He took your hand in his softly as he traced some circles on the back of your hand, the gesture making you actually quite calmer.

You focused on his hands and let relief wash over you with time- it must have been at least 10 minutes since he arrived and yet, he didn't stop, nor did he say anything in the time. You smiled to yourself as you felt your mind becoming clearer, shifting your gaze from your hand to his face.

"Thanks, I... really needed that." you said and he shared your glance, a small smile plastered on his lips again. "Just tell me if you need more time to relax. I'll give you all the time you need."

[hoonhoe]

day 55/100

to-do for tomorrow:

day 2 lectures on inverse trigonometric functions ( 2 lectures of 1hr each) + problem sheet

solve hp problems on stereochemistry

another hour of fluid mechanics lecture (if possible complete it) + notes

live lecture on circles

[nia-academia]

17.01.2024, Wednesday

Had my chemistry practicals, it went pretty well. I got asked proper viva questions and I answered them mostly correctly except maybe one question where I fumbled, so I might lose one mark there. Rest of the practical was fun and went smoothly. The only annoying part was that they kept us in school for an extra 2 hours for no good reason and then dispersed us. I was so bored but thankfully I have the best librarian whom I've known since 7th grade and he really likes me and gives me book recommendations and stuff so I went and asked him if i could borrow a book for 2 hours. It isn't allowed but he let me do it lol so I read the first part of Khaled Hosseini's 'The Kite Runner'. I've read it before but I was quite young then so I wanted to reread it just to feel something and I did. It was so hard for me to keep a poker face in a room full of 30 people while internally sobbing. I got home and took a nap which I always have to do on days where I have school. Woke up and studied, obviously not as much as my target because I spent half the day in school but the remaining time I was super productive so I'm happy with myself. Overall, a really nice day. Time Studied: 4.5 hours Subject: Mathematics Content: Relations and Functions, Inverse Trigonometric Functions

[greenhouse-studies]

Day 68 • 100 Days of Productivity

some pictures from yesterday and today. we started using microscopes in bio lab yesterday, and WE ALL HAVE OUR OWN i’ve only ever had to share but i got one all to myself hell yeah. anyway, today i had precalc and took notes on the inverse of trigonometric function. finally i had my foundations of education class and we talked about assessments and we’ll start talking about grading next week. i have my practicum tomorrow instead of friday because friday is a county-wide teacher work day so i won’t have any classes i can observe.

🎶 get down - SIX: the musical 🎶

[coraniaid]

top 5 mathematical identities :)

I wish Tumblr supported LaTeX.

OK, not trying to overthink this too much.

There are lots of fun identities involving binomial coefficients (or their q-analogs), or related integer sequences like the Catalan numbers and Motzkin numbers. But I think I have to go with the Chu-Vandermonde identity: who doesn't like a good convolution formula?

Of all the trigonometric identities I've ever had to learn, this is certainly not the most useful in practice or the hardest to prove or, arguably. the most inherently interesting either. I think the half-angle formula for tan is surprisingly pretty though.

Let S be a finite set of real numbers. The maximum-minimums identity relates the largest element of this set to the smallest elements of every (non-empty) subset of S.

or, more concretely,

Perhaps not classically beautiful, but certainly enormously useful, the Sherman-Morrisson-Woodbury identity in linear algebra gives a formula for computing the inverse of a rank-k update of an invertible matrix by doing rank-k updates of the inverse of that original matrix. It's valid whenever the matrices are suitably conformable and when both the required inverses exist.

I feel like I have to include something due to Euler here, but -- rather than one of the famous ones involving π or anything to do with topology -- I'll go with some analytic number theory. The pentagonal number theorem gives a series expansion of the Euler function, valid for any complex x in the unit circle.

or, expanding both sides,

That takes us into the world of q-series and we can generalize it further to get Jacobi's triple product formula or various identities due to Ramanujan or MacDonald's identities for affine root systems or other increasingly exotic and strange things ... but this identity is the prototype for all of them.

[the-least-undefinable-ordinal]

8, 47!

8. Least favourite notation you've ever seen?

It used to be a tie between the greek letter xi (pretty self explanatory, it's awful to write by hand and is clearly meant to be written in Latex) and the usage of exponents for trigonometric functions: it's maddeningly inconsistent!

When n is positive, usually 2, (cos^n)(x) means (cos(x))^n, on the other hand cos^-1(x) is the inverse function of cos(x), they mean exponentiation with different products, one with the pointwise product and the other with function composition.

If you see cos^-2(x) written somewhere it can mean (cos(x))^-2, (arccos(x))^2 or arcos(arccos(x)), three very different functions! This is why I always use arcsin and arccos, they neatly resolve the ambiguity (though I still don't use cos^-1, just in case).

Since I started heading down the Set Theory path of Math my least favourite notation has become when people denote f(A) as the image of a function restricted to a subset A of its domain.

It is almost never a problem outside of pure set theory (at least it has never been in my non set theory courses) but when you have a function whose domain is an ordinal number, then every element of the domain is also a subset of the domain, so this notation is almost always ambiguous. Of course, this means I almost never find this notation when doing set theoretic stuff but I still need to do a double take when I have to do other math for whatever reason.

47. Just how big is a big number?

The boring answer is probably something like 10^83, which seems to be one of the current estimates for the number of atoms in the observable universe, anything bigger than that is probably impossible to write down or read in a lifetime.

The set theoretic answer is probably any inaccessible cardinal, their existence is independent from ZFC but they're still pretty neat.

They're called inaccessible because you can't obtain them using cardinals smaller than themselves, specifically, a cardinal K is said to be inaccessible if it can't be expressed as the union of less than K smaller cardinals and they are always larger than the powerset of any set smaller than K.

Aleph_0 is usually excluded from this definition (it's the only cardinal that trivially fulfills these conditions) but it gives a neat intuition of what it means to be a "large" infinity, there is a night and day difference between sizes smaller than Aleph_0 and Aleph_0 itself.

[class12maths]

Sample Video Tutorial on Inverse Trigonometric Functions for Class 12 Maths — MathYug

Explore Inverse Trigonometric Functions with video tutorials on MathYug for Class 12 Maths by subject expert Ashish Kumar. Master complex concepts with clear explanations and step-by-step guidance.

We’re excited to share sample video tutorials on Inverse Trigonometric Functions by Ashish Kumar (Agam Sir) to highlight the quality education MathYug offers. In these sample videos, Ashish Sir simplifies complex concepts into easy-to-understand segments, providing clear explanations and step-by-step solutions. These engaging tutorials highlight the effective teaching methods used in all our Class 12 Maths resources. Watch the videos and see how MathYug can transform your learning experience.

NCERT Exercise 2.2 Inverse Trigonometric Functions Class 12 Maths — MathYug

Inverse Trigonometric Functions Class 12 Maths Chapter 2 (Part-1) — MathYug

Inverse Trigonometric Functions Class 12 Maths Chapter 2 (Part-2) — MathYug

[etcetraetcetra]

•20.05.23, Saturday•

Today was a humid day and so I kept feeling very tired and sleepy. Nevertheless I completed some of my work and tried to be as productive as I could.

Things I completed-

Studied Projectile Motion

Learnt Inverse Trigonometric Functions

Revised few parts of the chapter Redox Reaction.

Completed Trigonometry homework

Worked on the inverse trigonometric graphs

Solved the Physics Magazine for the month of May.

[ashishkumarletslearn]

Training Teachers to Teach Class 12 Maths — MathYug

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Relations and Functions

2. One to One and Onto Functions

3. Inverse Trigonometric Functions

4. Continuity and Differentiability

5. Applications of Derivatives

6. Integrals

7. Inverse Trigonometric Functions

8. Basics of Logarithms, Log Table and Antilog Table

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[carolxdanvers]

Happy pi day!

[epidermish]

28.04.25

Inverse trigonometric functions

[authorjond369]

Inverse Trigonometric Functions , Part 4 (Simplify Expression Using Right Triangle)

Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! 🙂 https://www.patreon.com/patrickjmt !! Part 5 : http://www.youtube.com/watch?v=xwBrKu5pRJEInverse Trigonometric Functions , Part 4 (Simplify Expression Using Right Triangle).In this example, we simplify expressions involving trig and inverse trig by using right triangles.

[hoonhoe]

day 56/100

so i wasn't the most productive yesterday, but i tried, i ended up doing math the entire day almost, anyway it's 2:27 in the morning and i'm trying to do a little bit of chem for the morning before i sleep, so most of my family leaves tomorrow, which is saddening but appreciable because i gotta study 😭

anyway, the to-do list for the rest of the day:

day 1 lectures on hydrocarbons (2 lectures of length 1.5 hrs as a whole) + problem sheet

complete fluid mechanics lecture + notes

solve previous year problems sheet for inverse trigonometric functions

attend live lecture on stereochemistry

more problems on stereochemistry