## Introduction to Trigonometric Functions Calculator:

The trigonometric functions calculator is an online tool that helps you to **find the angle** of a given trigonometric function. It uses the trigonometric or its inverse function to compute the angle of a given triangle.

Our trigonometric function calculatorsimplifies the process for finding complex trigonometric problems by providing quick and accurate results for various angles, whether you want to measure in degrees or radians.

## What is the Trigonometric Function?

A trigonometric function is a fundamental concept in algebra because it is extensively used when you are dealing with **geometric shapes** and objectives. It has six basic functions that have different purposes for solving trigonometric functions.

It is a useful method for mathematics, physics, engineering, astronomy, and various other applications that have angles and periodic functions.

## Types of Trigonometric Function:

There are **three types** of trigonometric functions and each has its own inverse trigonometric function. The trig equation calculator solves the following functions:

**For sine and cosine functions**:

The sine function is denoted as sin𝜃 and the cosine function is cos 𝜃.

**For tan 𝜃**:

The tan 𝜃 is the ratio of **sine and cosine** functions. You can also solve it by using a trigonometric functions calculator.

$$ tan \theta \;=\; \frac{sin \theta}{cos \theta} $$

**For secant 𝜃**:

It is the **inverse function** of the cosine trigonometric function,

$$ sec \theta \;=\; \frac{1}{cos \theta} $$

**For cosectan 𝜃**:

It is the **inverse function** of the sine function,

$$ csc \theta \;=\; \frac{1}{sin \theta} $$

**For cot 𝜃**:

The cot 𝜃 function is the **inverse of sin 𝜃**. You can also solve the equation of cot 𝜃 by using the trig function calculator.

$$ cot \theta \;=\; frac{cos \theta}{sin \theta} $$

## How to Calculate Trigonometric Functions?

For **calculating trigonometric functions**, you must know about the definitions and properties of these trigonometric functions to find their values for a given angle. Here is a step-by-step guide on how to calculate trigonometric functions.

**Step 1**:

Identify the angle for which you need to calculate the trigonometric function and the unit of the given angle so that you know whether the angle value is given in degrees or radians.

**Step 2**:

Add the angle value in the below trigonometric functions one by one to find its solution.

- Sine function:

Find the sine function value by putting the given angle value in it.

- Cosine function:

Compute cos (θ), and simplify by putting the value of the angle in it.

- Tangent function:

As you know tan (θ) is the ratio of sine and cosine function so add the value of cosine and sine in it.

- Secant (sec):

It is the inverse function of the cosine function so you just need to find the inverse value only.

- Cosecant (csc):

For csc function take the inverse of the sine function value.

- Cotangent (cot):

To find the cotangent value you need to take the inverse of the tan function for the solution.

**Step 3**:

Add the value in all the trigonometric functions and find the angle of the right-angle triangle.

## Practical Example of Trigonometric Function:

You can also use the trigonometric functions calculator to solve the questions of trigonometric functions. However, an **example** of a trigonometric function gives you a better understanding of its calculation. Here is a manual example of solving trig equations.

**Example**:

Find the value of 𝜃 = 30 degrees on all the trigonometric functions.

**Solution**:

**For sine**:

$$ Sin \theta \;=\; sin (30) $$

$$ sin (30) \;=\; 0.5 $$

**For cosine**:

$$ cos \theta \;=\; cos (30) $$

$$ cos (30) \;=\; 0.8660 $$

**For tangent**:

$$ tan \theta \;=\; tan(30) $$

$$ tan (30) \;=\; 0.57735 $$

**For secant**:

$$ sec \theta \;=\; sec (30) $$

$$ sec (30) \;=\; 1.154701 $$

**For cosecant**:

$$ cosec \theta \;=\; cosec (30) $$

$$ cosec (30) \;=\; 2 $$

**For cotangent**:

$$ cot \theta \;=\; cot (30) $$

$$ cot (30) \;=\; 1.732051 $$

You can also get this solution directly by using the trig equation solver.

## How to Use Trigonometric Functions Calculator?

The trigonometric function calculator has a simple design that enables you to calculate the angle of the given triangle without any hurdle in some seconds.

Before starting the **calculation process** in the trig equation calculator, you must follow some simple steps. These steps are:

- Enter the angle of the trigonometric function value in its required input box.
- Review your angle value before hitting the calculate button of the trig function calculator to start the evaluation process.
- Click the “Calculate” button to get the result of your given trigonometric function problem.
- You are trying out the trigonometric equations calculator for the first time and if you have an ambiguity about its calculation process then you can use the load example so that it provides you with an accurate solution.
- Click on the “Recalculate” button to get a refresh page for the evaluation of more solutions of trigonometric function questions.

## Output of Trigonometric Function Calculator:

The trig equation solver gives you the **solution** to given trigonometric function questions when you add the input value in it. It provides you with solutions where a complete procedure is given. It may contain as:

**Result Option**:

The result option of the 6 trig functions calculator gives you a solution of finding the angle problem using a trigonometric function in the solution.

**Possible Steps**:

The trig equations calculator provides you with a solution where all the evaluation processes are mentioned in a stepwise method for the trigonometric function problem when you click the possible step button.

## Advantages of Trig Equation Calculator:

The trig functions calculator provides many **advantages** whenever you use it to find the angle of trigonometric function questions and give solutions immediately. It provides you with results very quickly. These advantages are:

- The trigonometric equations calculator is a handy tool that allows you to get the solution to different kinds of angles for trigonometric function questions.
- You can try out our trig equation solver to get solutions of more examples related to the trigonometric function concept.
- It is a free tool so that you can use it to find the trigonometric function question in real time without spending any fee.
- The trig function calculator provides you with the solution in a complete process in a stepwise method so that you get clarity on the trigonometric function working method.
- Our tool saves you time and effort in finding trigonometric angle question calculations and provides the solution quickly.
- The trigonometric functions calculator is a trustworthy tool that provides you with accurate solutions whenever you use it to find out the angle of a trigonometric function without error in the solution.