## Triangle Calculator

Enter the values of any two angles and any one side of a triangle below which you want to solve for remaining angle and sides.

Triangle calculator finds the values of remaining sides and angles by using Sine Law.

Sine law states that

a sin A = b sin B = c sin C

Cosine law states that-

a 2 = b 2 + c 2 - 2 b c . cos ( A ) b 2 = a 2 + c 2 - 2 a c . cos ( B ) c 2 = a 2 + b 2 - 2 a b . cos ( C )

Click the blue arrow to submit. Choose "Solve the Triangle" from the topic selector and click to see the result in our Trigonometry Calculator!

Solve the Triangle

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## Trigonometric Equations Calculator

Solved example of trigonometric equations

The reciprocal sine function is cosecant: $\frac{1}{\csc(x)}=\sin(x)$

Combining like terms $8\sin\left(x\right)$ and $-4\sin\left(x\right)$

Divide both sides of the equation by $4$

The angles where the function $\sin\left(x\right)$ is $\frac{1}{2}$ are

The angles expressed in radians in the same order are equal to

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Mathway trig calculator is a mathematical tool that helps to solve math equations.

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## Unit: Trigonometric equations and identities

Inverse trigonometric functions.

- Intro to arcsine (Opens a modal)
- Intro to arctangent (Opens a modal)
- Intro to arccosine (Opens a modal)
- Restricting domains of functions to make them invertible (Opens a modal)
- Domain & range of inverse tangent function (Opens a modal)
- Using inverse trig functions with a calculator (Opens a modal)
- Inverse trigonometric functions review (Opens a modal)
- Trigonometric equations and identities: FAQ (Opens a modal)
- Evaluate inverse trig functions Get 3 of 4 questions to level up!

## Sinusoidal equations

- Solving sinusoidal equations of the form sin(x)=d (Opens a modal)
- Cosine equation algebraic solution set (Opens a modal)
- Cosine equation solution set in an interval (Opens a modal)
- Sine equation algebraic solution set (Opens a modal)
- Solving cos(θ)=1 and cos(θ)=-1 (Opens a modal)
- Solve sinusoidal equations (basic) Get 3 of 4 questions to level up!
- Solve sinusoidal equations Get 3 of 4 questions to level up!

## Sinusoidal models

- Interpreting solutions of trigonometric equations (Opens a modal)
- Trig word problem: solving for temperature (Opens a modal)
- Trigonometric equations review (Opens a modal)
- Interpret solutions of trigonometric equations in context Get 3 of 4 questions to level up!
- Sinusoidal models word problems Get 3 of 4 questions to level up!

## Angle addition identities

- Trig angle addition identities (Opens a modal)
- Using the cosine angle addition identity (Opens a modal)
- Using the cosine double-angle identity (Opens a modal)
- Proof of the sine angle addition identity (Opens a modal)
- Proof of the cosine angle addition identity (Opens a modal)
- Proof of the tangent angle sum and difference identities (Opens a modal)
- Using the trig angle addition identities Get 3 of 4 questions to level up!

## Using trigonometric identities

- Finding trig values using angle addition identities (Opens a modal)
- Using the tangent angle addition identity (Opens a modal)
- Using trig angle addition identities: finding side lengths (Opens a modal)
- Using trig angle addition identities: manipulating expressions (Opens a modal)
- Using trigonometric identities (Opens a modal)
- Trig identity reference (Opens a modal)
- Find trig values using angle addition identities Get 3 of 4 questions to level up!

## Challenging trigonometry problems

- Trig challenge problem: area of a triangle (Opens a modal)
- Trig challenge problem: area of a hexagon (Opens a modal)
- Trig challenge problem: cosine of angle-sum (Opens a modal)
- Trig challenge problem: arithmetic progression (Opens a modal)
- Trig challenge problem: maximum value (Opens a modal)
- Trig challenge problem: multiple constraints (Opens a modal)
- Trig challenge problem: system of equations (Opens a modal)

## About this unit

## Trigonometry Calculator

Calculate trignometric equations, prove identities and evaluate functions step-by-step.

- Pythagorean
- Angle Sum/Difference
- Double Angle
- Multiple Angle
- Negative Angle
- Sum to Product
- Product to Sum
- Proving Identities
- Trigonometric Equations
- Trig Inequalities
- Evaluate Functions

## Most Used Actions

- simplify\:\frac{\sin^4(x)-\cos^4(x)}{\sin^2(x)-\cos^2(x)}
- simplify\:\frac{\sec(x)\sin^2(x)}{1+\sec(x)}
- \sin (x)+\sin (\frac{x}{2})=0,\:0\le \:x\le \:2\pi
- \cos (x)-\sin (x)=0
- 3\tan ^3(A)-\tan (A)=0,\:A\in \:\left[0,\:360\right]
- \sin (75)\cos (15)
- \csc (-\frac{53\pi }{6})
- prove\:\tan^2(x)-\sin^2(x)=\tan^2(x)\sin^2(x)
- prove\:\cot(2x)=\frac{1-\tan^2(x)}{2\tan(x)}
- prove\:\csc(2x)=\frac{\sec(x)}{2\sin(x)}

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## Section 1.5 : Solving Trig Equations with Calculators, Part I

So, with all that out of the way let’s take a look at our first problem.

First, let’s take a quick look at a unit circle for this example.

So, all possible solutions, ignoring the interval for a second, are then,

So, the solutions to this equation, in the given interval, are,

Okay, let’s first get the inverse cosine portion of this problem taken care of.

Don’t forget that we still need the “3”!

Finally, we need to get the values in the given interval.

The solutions to this equation, in the given interval are then,

Here’s a unit circle for this example.

The solutions to this equation are then,

Here’s the rest of the work for this example.

So, in this case we get a single solution of 0.7743.

So, let’s get started on this example.

Here are all the solutions to the equation.

The seven solutions to this equation are then,

If using the calculator answer this would give,

If using the positive angle corresponding to the calculator answer this would give,

Then dividing by 2 either of the following sets of solutions,

We’ll start this one in exactly the same way we’ve done all the others.

We weren’t given an interval in this problem so here is nothing else to do here.

Here is the solution to this equation.

It is important to remember that not all trig equations will have solutions.

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## Triangle Calculator

A mathematical equation is a statement that two things are equal.

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Free math problem solver answers your trigonometry homework questions with step-by-step explanations. ... of this live expert session and select the appropriate subject from the menu located in the upper left corner of the Mathway screen. What are you trying to do with this input? ... We are more than happy to answer any math specific question ...

Triangle Calculator Step 1: Enter the values of any two angles and any one side of a triangle below which you want to solve for remaining angle and sides. Triangle calculator finds the values of remaining sides and angles by using Sine Law. Sine law states that a sinA = b sinB = c sinC a sin A = b sin B = c sin C Cosine law states that-

To solve a trigonometric simplify the equation using trigonometric identities. Then, write the equation in a standard form, and isolate the variable using algebraic manipulation to solve for the variable. Use inverse trigonometric functions to find the solutions, and check for extraneous solutions. What is a basic trigonometric equation?

Type a math problem Solve algebra trigonometry statistics calculus variables Related Concepts Trigonometry Trigonometry (from Ancient Greek τρίγωνον (trígōnon) 'triangle', and μέτρον (métron) 'measure') is a branch of mathematics concerned with relationships between angles and ratios of lengths.

Trigonometric Equations Calculator online with solution and steps. Detailed step by step solutions to your Trigonometric Equations problems online with our math solver and calculator. Solved exercises of Trigonometric Equations. Calculators Topics Solving Methods Step Reviewer Go Premium. ENG • ESP. Topics

There are a lot of great apps out there to help students with their school work for Solving trig equations calculator mathway. order now. Find Trig Functions Using Identities sin(x)=4/5. Free math problem solver answers your trigonometry homework questions with step-by-step explanations.

iPad Mathway is the world's smartest math calculator for algebra, graphing, calculus and more! Mathway gives you unlimited access to math solutions that can help you understand complex concepts. Simply point your camera and snap a photo or type your math homework question for step-by-step answers. If a premium subscription option is selected:

The unit circle definition of sine, cosine, & tangent. The graphs of sine, cosine, & tangent. Basic trigonometric identities. Trigonometric values of special angles. Pythagorean identity. Introduction to amplitude, midline, & extrema of sinusoidal functions. Finding amplitude & midline of sinusoidal functions from their formulas.

Mathway trig calculator - Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework Find Trig Functions Using. ... To solve a mathematical equation, you need to find the value of the unknown variable. SOLVING This math question is a great way to test your knowledge of basic algebra. ...

Solve algebra trigonometry Get step-by-step explanations See how to solve problems and show your work—plus get definitions for mathematical concepts Graph your math problems Instantly graph any equation to visualize your function and understand the relationship between variables Practice, practice, practice

Trig equation solver mathway - Trig equation solver mathway is a mathematical instrument that assists to solve math equations. Math Learning. ... Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations

About this unit. In this unit, you'll explore the power and beauty of trigonometric equations and identities, which allow you to express and relate different aspects of triangles, circles, and waves. You'll learn how to use trigonometric functions, their inverses, and various identities to solve and check equations and inequalities, and to ...

Mathway's math problem solver is an excellent tool to check your work for free. Just type in the math problem into the interactive calculator using its prescribed syntax, and it will give you the correct answer. It's like having a private tutor 24/7/365 with you at all times!

Trigonometry Calculator Calculate trignometric equations, prove identities and evaluate functions step-by-step full pad » Examples Related Symbolab blog posts High School Math Solutions - Trigonometry Calculator, Trig Equations In a previous post, we learned about trig evaluation. It is important that topic is mastered before continuing...

Let's just jump into the examples and see how to solve trig equations. Example 1 Solve 2cos(t) =√3 2 cos ( t) = 3 . Show Solution. Now, in a calculus class this is not a typical trig equation that we'll be asked to solve. A more typical example is the next one. Example 2 Solve 2cos(t) =√3 2 cos ( t) = 3 on [−2π,2π] [ − 2 π, 2 π ...

So, in other words, when we are using our calculator to compute an inverse trig function we are really solving a simple trig equation. Having our calculator compute cos−1(3 4) cos − 1 ( 3 4) and hence solve cos(x) = 3 4 cos ( x) = 3 4 gives, x =cos−1( 3 4) =0.7227 x = cos − 1 ( 3 4) = 0.7227. From the previous section we know that there ...

Sep 29, 2017 - Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step Mathway on the App Store Mathway is the world's smartest math calculator for algebra, graphing, calculus and more!

Trigonometry calculator mathway - Trigonometry calculator mathway can be a helpful tool for these students. Math Methods Solve Now Trigonometry calculator mathway ... Math is all about solving equations and finding the right answer. Clear up mathematic equation Mathematics is the language of the universe, and equations are its grammar. ...