# Trigonometric Ratio Calculator

## About Trigonometric Ratio Calculator (Formula)

The Trigonometric Ratio Calculator is a tool used to calculate various trigonometric ratios, such as sine, cosine, and tangent, for a given angle. It is commonly used in mathematics, physics, and engineering. The formulas for calculating trigonometric ratios are as follows:

Sine (sin) = Opposite / Hypotenuse Cosine (cos) = Adjacent / Hypotenuse Tangent (tan) = Opposite / Adjacent

In these formulas, “Opposite” refers to the side opposite to the given angle, “Adjacent” refers to the side adjacent to the given angle, and “Hypotenuse” refers to the longest side of a right triangle opposite the right angle.

For example, let’s consider a right triangle with an angle of 30 degrees, where the opposite side is 5 units, the adjacent side is 3 units, and the hypotenuse is 10 units. The trigonometric ratios for this angle would be calculated as follows:

Sine (sin) = Opposite / Hypotenuse = 5 / 10 = 0.5 Cosine (cos) = Adjacent / Hypotenuse = 3 / 10 = 0.3 Tangent (tan) = Opposite / Adjacent = 5 / 3 ≈ 1.67

This means that the sine of 30 degrees is 0.5, the cosine is 0.3, and the tangent is approximately 1.67.

The Trigonometric Ratio Calculator simplifies the process of calculating trigonometric ratios for a given angle, aiding in mathematical calculations and problem-solving. By inputting the appropriate side lengths, the calculator quickly provides the values of sine, cosine, and tangent, enabling accurate trigonometric calculations in various fields.