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# Trigonometric Functions Calculator

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles. There are six basic trigonometric functions used in Trigonometry. These functions are trigonometric ratios.

## What is Trigonometric Functions Calculator?

'Trigonometric Functions Calculator' is an online tool that helps to calculate the trigonometric function values for a given angle theta. Online **Trigonometric Functions Calculator** helps you to calculate the trigonometric function values in a few seconds.

### Trigonometric Functions Calculator

## How to Use Trigonometric Functions Calculator?

Please follow the steps below on how to use the calculator:

**Step 1:**Choose from the drop-down list for sine, cosine, and tangent, cosecant, secant, and cotangent for given angle theta.**Step 2:**Enter the angle theta (in degrees) in the given input box.**Step 3:**Click on the**"Calculate"**button to find the trigonometric function values for a given angle theta.**Step 4:**Click on the**"Reset"**button to clear the fields and find the trigonometric function values for the different angles.

## How to Find Trigonometric Functions?

The sine function is defined as the ratio of the length of the opposite side to that of the length of the hypotenuse in a right-angled triangle. Sine is a trigonometric function of an angle. It is denoted as sinθ, where θ is the angle between the two sides.

The cosine function is defined as the ratio of the length of the adjacent side to that of the length of the hypotenuse in a right-angled triangle. Cosine is a trigonometric function of an angle. It is denoted as cosθ, where θ is the angle between the two sides.

The tangent function is defined as the ratio of the length of the opposite side to that of the length of the adjacent side in a right-angled triangle. Tangent is a trigonometric function of an angle. It is denoted as tanθ, where θ is the angle between the two sides.

The cosecant function is defined as the ratio of the length of the hypotenuse to that of the length of the opposite side in a right-angled triangle. Cosecant is a trigonometric function of an angle. It is denoted as cosecθ, where θ is the angle between the two sides. It is the inverse of sinθ.

The secant function is defined as the ratio of the length of the hypotenuse to that of the length of the adjacent side in a right-angled triangle. Secant is a trigonometric function of an angle. It is denoted as secθ, where θ is the angle between the two sides. It is the inverse of cosθ

The cotangent function is defined as the ratio of the length of the adjacent side to that of the length of the opposite side in a right-angled triangle. Cotangent is a trigonometric function of an angle. It is denoted as cotθ, where θ is the angle between the two sides. It is the inverse of tanθ.

## Solved Examples on Trigonometric Functions Calculator

**Example 1:**

Find the sine value if the θ = 45° and verify it using the online trigonometric functions calculator?

**Solution:**

Given θ = 45°

sin 45° = 1 / √2

= 0.71

**Example 2:**

Find the secant value if the θ = 60° and verify it using the online trigonometric functions calculator?

**Solution:**

Given θ = 60°

sec 60° = 2

**Example 3:**

Find the cotangent value if the θ = 45° and verify it using the online trigonometric functions calculator?

**Solution:**

Given θ = 45°

cot 45° = 1

Similarly, you can try the trigonometric functions calculator to find the trigonometric function values for the following:

- θ = 60°
- θ = 150°

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