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How to Solve Inverse Trig Functions

The inverse trigonometric functions are the inverse functions of the trigonometric functions in mathematics. However, under certain conditions, you have to restrict the domain values. Specifically, they are the inverses of the sine, cosine, tangent, cotangent, secant, and cosecant functions, and are used to determine the angle measure when at least two sides of a right triangle are known. Inverse trigonometric functions are widely used in many scientific fields including engineering, navigation, physics, and geometry. Read the blog to master the methods of how to solve inverse trig functions.

Review inverse functions in general

By reviewing the general inverse function can help you build a stronger foundation of trigonometry before stepping into solving inverse trig functions. If you want to find the inverse of a function, just replace all the x’s with y’s and all the y’s with x’s. So if you want to find the inverse of y=sin x, you can flip the variables and get x=sin y.

Then you can solve this equation for y by taking inverse sine (sin^-1 or arcsin) of both sides because the sin^-1 and the sin will cancel on the right side. Sin^−1 and arcsin both indicate the inverse of the sin function and can be used interchangeably. You can use whichever notation you’re comfortable or more familiar with unless your professor requires you to use one of them consistently. The fact is, both of them are used very frequently, so you should be aware that they mean the same thing.

Inverse trig function explained

You might sometimes feel clueless when solving inverse trig functions, let’s put it in a simpler way! Inverse trig functions act as the opposite of the regular trigonometric functions. For example:

Inverse sine (sin^-1) does the opposite of the sine.

Inverse cosine (cos^-1) does the opposite of the cosine.

Inverse tangent (tan^-1) does the opposite of the tangent.

In another form:

arcsin(x), or sin^-1(x), is the inverse of sin(x)

arccos(x), or cos^-1(x), in the inverse of cos(x)

arctan(x), or tan^-1(x), is the inverse of tan(x)

There are particularly six inverse trig functions for each trigonometry ratio. The inverse of six important trigonometric functions are:

Arcsine

Arccosine

Arctangent

Arccotangent

Arcsecant

Arccosecant

In general, if the trig ratio is given but the angle is asked to solve, you can use the corresponding inverse trig function to find the angle and solve the problem. More impotently, in order to define the inverse functions, it is essential to restrict the domain of the original functions to an interval where they are invertible.

Hope you have been able to understand a bit more about how to solve inverse trig functions after reading this.

Use algebra to find an inverse function

The most efficient method of how to do inverse trig functions for a given one-to-one function involves the following steps:

Replace the function notation’s name with y.

Reverse all the x’s and y’s (let every x be y and every y be x).

Solve the equation for y.

Replace y with the function notation for an inverse function.

Get the answer & solve the problem

Here are just quick rundown of steps on using algebra to solve inverse trig functions, there is definitely more depth to it after deeply exploring and learning the topic.

Use a scientific or graphing calculator

If you have a scientific or graphing calculator, the inverse trig functions are generally the 2nd functions of the trig buttons, which allows you to do inverse trig functions on it much easier with graphs.

The following steps are how to compute for the specific functions:

To find the inverse sine, press the keys 2nd and sin; to find the inverse cosine, press the keys 2nd and cos; to find the inverse tangent, press the keys 2nd and tan.

Reminder: make sure to set your calculator with the correct angle units upon needs: radians or degrees. Switch between them can help you achieve a more accurate calculation.

Get help from the ultimate trig problem solver ‒ Lumist

It is a smart choice to utilize useful resources when solving inverse trig functions. Want to know how to solve inverse trig functions? Lumist, this trig problem solver app is particularly useful for algebraic, calculus and trigonometric equations/problems. Some of the math content supported by Lumist, but not limited to, are numbers, decimals, fractions, roots and powers, algebraic expressions, complex numbers, quadratic equations/inequations. The more advanced concepts are linear equations/inequations, absolute equations/inequations, calculus, binomial theorem, and trigonometric equations.

The Lumist app is undoubtedly one of the best apps you will encounter to help you with math problems. This app uses the camera on your phone coupled with augmented reality to solve inverse trig functions. All you need to do is to point your phone’s camera at the paper containing the equation or math problem you are looking to solve, and it will give you the answer by actually reading and recognizing the problem itself with AI Tech. It reads the problem and solves it instantly, and all you need is your device’s camera.

Explore animated homework answer videos with key concepts, crafted to increase your learning stamina with interactive Q&A features. Both Algebra 2 & pre-calculus will be supported in the app and help you master the methods of how to do inverse trig functions.

There are also tons of trigonometry video tutorials provided on Lumist youtube channel. It provides plenty of examples and practice problems such as inverse sine, cosine, and tangent functions.

Learn how to solve Inverse Trig Function with a trig problem solver app and download our app. Download link:

IOS: https://apps.apple.com/us/app/lumist/id1523772558

Android: https://play.google.com/store/apps/details?id=com.lumiclass.app

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lumistapp · 4 years ago

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Statistics Homework Help

Are you in the process of doing statistics homework, but are not sure what can be done so that your potential grade is reached? By taking time out of your day to figure out these top tips, you’ll greatly improve your chances of obtaining a grade that you can be proud of. In the majority of assignments, the strategy that needs to be implemented are fairly simple to understand but hard to identify. With that thought in mind, here are some of the top resources you should consider when approaching your statistics homework:

Online Forums

There are many different types of forums online, the biggest one being stack exchange, and these include ones specifically for statistics. You can visit these forums to get help on your work. The members are generally very helpful, and they will not hesitate to answers any questions that you have asked in a polite and clear manner and most importantly showed that you have attempted yourself. Though forums can take quite a while before you receive a satisfactory answer and some users may be hostile towards users that ask homework questions without any work or thought being put into them.

Ask your peers

It’s a good idea to get acquainted with the classmates that seem to get it in the class. Yes, the ones that often ask thoughtful questions during lecture. They will know what needs to be done in order to get the best grades. Every class has the top students so it could really help you if you are able to identify them.

If you have a habit of forming a study group, inviting these students could also be very helpful to your learning experience. You can see how they approach certain problems and learn their pattern for your own study habits.

Use A Homework Help App as a Statistics Problem Solver

In these technology-driven times, scholars are more likely to use smartphones for everything Every single thing we need nowadays is at our fingertips and we can acquire all the information we want with a simple tap on our mobile phone screens. One of the ways through which students have benefited from this development is that they can access educational resources online that can serve as a statistics problem solver. This has reduced the number of times students have to visit the library for research. But what has made all this possible is the availability of mobile applications. Developers are coming up with new mobile homework help apps every day to make accessing information online and interacting with the global network convenient for all.

Now, if you want a sure and proven way to make the grade, then using a statistics problem solver app to have the work completed for you is a great idea. There are homework help apps that have freelance workers that have abundant resources in any field of study, which means you’ll have a professional doing your work for you. Lumist is one of the best ones out there, it is a statistics problem solver with step-by-step guidance for each problem. Lumist can help you solve your statistical problems. Download from the App Store our homework help app.

Lumist is an online educational platform that sets out to help students achieve academic success. It helps with understanding and interpreting the problem and learn basic statistics concepts. This statistics problem solver app is particularly useful for statistic and probabilistic analysis.

Using LumiSnap, students can scan statistics questions and receive detailed answers from our database containing over 3 million solution sets within the minute. It the perfect statistic problem solver. Furthermore, when professors get creative and produce pesky original problems, they have over 500 live experts online concurrently that provide a personalized, 1 on 1 answer to this completely new question with a step-by-step solution.

Visit Your Teacher During Office Hours

If you want the best grade possible and are stuck then go to the source ‒ the teacher. When you approach your teacher for answers you’ll be pleasantly surprised at just how much they are willing to give away. You just need to know what questions to ask. Therefore, before you visit the teacher take some time to prepare yourself. So that by the time you are done asking the questions you have a clear idea of what is required to complete the task.

To make your life easier, LumiLive another built-in function of the Lumist app, is a live exam prep session with study guides, mock exams, as well as plenty of practice questions and solutions. This is the power of office hours and TA review sessions within your palms. Not only does it cover the specific materials you are looking for, but it also provides a real-time Q&A session for participants to ask any questions they still have.

Educational Websites

There are a plethora of educational websites out there that will have the methodologies in place to tackle all types of statistics work. You just need to be able to find these resource pages, and they are commonly located at the official websites of educational establishments.

In the Lumist app, a function called LumiLearn fulfills this role perfectly in that it provides extensive self-learning materials that cover all the fundamental and advanced statistic concepts. LumiLearn prizes itself for having over 350 key concept courses spanning across more than 30 well-known universities. Each of these concept videos contains a well-visualized concept by the lecturer along with clear explanations of each concept down to the fundamentals

Using Lumist as your trusty statistic problem solver you no longer have to worry about not understanding homework problems or not being ready for an exam. Lumist has you covered for vast combinations of concepts your instructor may use in their exam. Using this powerful homework help app that has over 3 million problem sets and 500+ experts readily available, you have nothing to worry about.

For your convenience, we provided a download link below:

Download link: IOS: https://apps.apple.com/us/app/lumist/id1523772558

Android: https://play.google.com/store/apps/details?id=com.lumiclass.app

Ask Lumi, Learn Smarter

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lumistapp · 4 years ago

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How to Solve Math Problems Step-By-Step

Mathematics is one of the most ubiquitous and versatile topics academia can offer. Often scholars like you and I end up catching ourselves on the short end of the stick, that is, have no clue how to solve the problem that lies in front of us. While mathematics guidebooks and institutional textbooks can provide students with step-by-step solutions to different mathematical problems, it may sometimes never be enough as mathematics is ever-changing. An old but gold principle most students stick to when attempting to solve any math problem step by step, and as we know it as the old-fashioned way is Pen, paper, and calculator. This combination can never go wrong when trying to solve my math problem.

The ol’ reliable

Now, with your pen and paper ready, you must figure out the kind of problem this problem is asking so you know what you are looking for. If you can figure out what the question asks for you can then plan out a path to reach your desired answer. The freedom to designate a specific method to solve your math problem is what makes mathematics so incredible. Try to get the problem in your own words, so now you can visualize it better in your mind to solve any math problem quicker on your own terms.

Visualize your problem

Another general rule of thumb is writing down formulas and equations. This is very helpful to visualize your current math problem. Especially for graph or diagram-intensive math problems, drawing your graph tends to always be much more accessible than trying to graph it out on often convoluted online math utilities.

Practice makes perfect

By studying the examples that are of similar types, the problem can be solved by following the same patterns. Practice makes perfect, while the wording and numbers are different, similar problems that present similar concepts can lead to an understanding of a problem type. Reverse engineering to understand problems proves to be helpful for figuring out the answer to a problem with a similar concept.

Now, keeping all those in mind, what if I told you that you can solve your next math problem with a step-by-step solution method from the Lumist math app, and with it, a much more comprehensive understanding of your math problem? By clicking your phones, you can get answers to some of the most challenging problems in mathematics across different topics. Apart from apps that solve math problems and provide solutions on a silver platter, some apps can also teach you various techniques and instructions on how to solve the problem and arrive at the correct answer with detailed step-by-step solutions. With Lumist, the ultimate math solver, you can do it all.

Wondering “how to solve my math problem”?

The Lumist app is an incredible math solver app you will discover to help you solve any math problem. This app uses the camera on your phone coupled with augmented reality to scan and solve any math problem. Adjust and point your phone’s camera at the paper containing the equation or math problem you are looking to solve, and it will give you a step-by-step detailed expert solution within the minute.

It reads the problem and solves it instantly, and all you need is your device’s camera. The state-of-the-art technology of Lumist allows it to read the problem and give the answer and show you step-by-step explanations for getting the right answer.

So, what is this Lumist and how come I have never heard of it sooner? Can it really solve my math problem? Lumist is an online educational platform that sets out to help students achieve academic success. It helps with understanding and interpreting the problem and learn basic math concepts. This math solving app is particularly useful for algebraic equations and fundamental arithmetic problems.

Some of the math content supported by Lumist, but not limited to, are algebra, decimals, fractions, roots and powers, algebraic expressions, complex numbers, quadratic equations/inequations. The more advanced concepts are linear equations/inequations, absolute equations/inequations, calculus, binomial theorem, and trigonometric equations.

Snap, Scan, Live:

The Lumist platform offers three core functions for students in need of a comprehensive understanding of mathematical problems. They are LumiSnap, LumiLearn, LumiLive. LumiSnap is the bread and butter of the Lumist app. It is the function that allows users to scan any math problems and it will match with an existing problem in the Lumist database with over 3 million results and return a peer-reviewed and high-quality answer. In addition, to prepare for those days when the professors produce bespoke problems, there are half a thousand experts live ready to solve your scanned problem in real-time to a personalized solution with a step-by-step solution.

LumiLearn fulfills the role of your personalized library and provides extensive self-learning materials that cover all the fundamental and advanced mathematical concepts. Rapidly growing, LumiLearn prizes itself for having 350+ topics covering curricula spanning across more than thirty universities.

Every single of these concept videos rivals that of a lecture session’s and you won’t have to worry about not taking notes fast enough. It will be visualized on a virtual blackboard with the lecturer clearly explaining each concept diligently and solve any of your math problems.

Innovative math solver

LumiLive is the third and most valuable function that is exclusive to Lumist from anything else we could find. It is a live stream of an exam prep session for any user to attend and ask questions on. Think of it as an online TA or professor office hour. The session structure will include a detailed explanation and presentation of the topic along with rigorous Q&A sessions for any conceptual questions or specific math solutions on the fly.

With Lumist, you no longer have to worry about not understanding homework or not having enough resources to feel prepared for your upcoming exam. Lumist will be your trusty math solver for preparing you for all the different types of math problem you instructor may face.

Keeping Lumist by your side with its powerful capabilities an enormous 3 million problem set solutions along with 500+ live experts in this one app, you should be ready for anything.

For your convenience, we provided a download link below:

Download link: IOS: https://apps.apple.com/us/app/lumist/id1523772558

Android: https://play.google.com/store/apps/details?id=com.lumiclass.app

Ask Lumi, Learn Smarter

The post How to Solve Math Problems Step-By-Step appeared first on Lumist.

This article originally appeared at https://ift.tt/39qyqXj

#IFTTT #Lumist

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