# Trigonometric Ratios Calculator

Trigonometric ratios are defined as the values of all trigonometric functions based on ratios of sides of a right-angle triangle. In trigonometry, there are six trigonometric ratios, namely, sine, cosine, tangent, secant, cosecant, and cotangent.

## What is Trigonometric Ratios Calculator?

'Trigonometric Ratios Calculator' is an online tool that helps to calculate the values of trigonometric ratios. Trigonometric ratios can be used to determine the ratios of any two sides out of a total of three sides of a right-angled triangle in terms of the respective angles. Online **Trigonometric Ratios Calculator** helps you to calculate the values of trigonometric ratios in a few seconds.

### Trigonometric Ratios Calculator

## How to Use Trigonometric Ratios Calculator?

Please follow the below steps to calculate the values of trigonometric ratios:

**Step 1:**Enter the hypotenuse, opposite side, and adjacent side in the given input boxes.**Step 2:**Click on the**"Calculate"**button to calculate the values of trigonometric ratios.**Step 3:**Click on the**"Reset"**button to clear the fields and enter the different values.

## How to Find Trigonometric Ratios Calculator?

In a given right angle triangle SBC,

SC = Hypotenuse

SB = Opposite side or perpendicular side(opposite to θ)

BC = Adjacent side or base(adjacent to θ)

'θ' is the angle between two sides.

sinθ = Opposite side / Hypotenuse

cosθ = Adjacent side / Hypotenuse

tanθ = Opposite side / Adjacent side

cosecθ = Hypotenuse / Opposite side

secθ = Hypotenuse / Adjacent side

cotθ = Adjacent side / Opposite side

These are the six trigonometric ratios.

## Solved Examples on Trigonometric Ratios Calculator

**Example 1:**

Find the trigonometric ratios if the hypotenuse is 5 units, opposite side is 3 units, and adjacent side is 4 units.

**Solution:**

sinθ = Opposite side / Hypotenuse = 3 / 5 = 0.6

cosθ = Adjacent side / Hypotenuse = 4 / 5 = 0.8

tanθ = Opposite side / Adjacent side = 3 / 4 = 0.75

cosecθ = Hypotenuse / Opposite side = 5 / 3 = 1.67

secθ = Hypotenuse / Adjacent side = 5 / 4 = 1.25

cotθ = Adjacent side / Opposite side = 4 / 3 = 1.33

**Example 2:**

Find the trigonometric ratios if the hypotenuse is 10 units, opposite side is 4 units, and adjacent side is 7 units.

**Solution:**

sinθ = Opposite side / Hypotenuse = 4 / 10 = 0.4

cosθ = Adjacent side / Hypotenuse = 7 / 10 = 0.7

tanθ = Opposite side / Adjacent side = 4 / 7 = 0.57

cosecθ = Hypotenuse / Opposite side = 10 / 4 = 2.5

secθ = Hypotenuse / Adjacent side = 10 / 7 = 1.42

cotθ = Adjacent side / Opposite side = 7 / 4 = 1.75

Similarly, you can use the calculator to find the trigonometric ratios for the following:

- Hypotenuse = 26 units, opposite side = 10 units, and adjacent side = 24 units
- Hypotenuse = 13 units, opposite side = 5 units, and adjacent side = 12 units

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