# Double Angle Calculator

## About Double Angle Calculator (Formula)

A Double Angle Calculator is a tool used in trigonometry to calculate the trigonometric functions of double angles, such as sine, cosine, and tangent. Double angles are angles that are twice the size of a given angle. This calculator helps simplify trigonometric calculations involving double angles and is useful in various fields including mathematics, physics, and engineering. The formulas used for calculating the double angle trigonometric functions depend on the specific trigonometric identity being used.

Some common double angle trigonometric identities include:

1. Double Angle for Sine:

sin(2θ) = 2 * sin(θ) * cos(θ)

2. Double Angle for Cosine:

cos(2θ) = cos²(θ) – sin²(θ)

3. Double Angle for Tangent:

tan(2θ) = (2 * tan(θ)) / (1 – tan²(θ))

Using the Double Angle Calculator involves these steps:

1. Input: Enter the value of the original angle (θ) into the calculator.
2. Calculation: The calculator applies the appropriate double angle trigonometric identity to calculate the trigonometric function of the double angle (2θ).
3. Output: The calculator displays the calculated value of the trigonometric function for the double angle.

This tool is particularly useful for students, researchers, and professionals who work with trigonometric functions and need to simplify calculations involving double angles.

For example, if you want to find the sine of the double angle for an angle of 30 degrees, the Double Angle Calculator will provide you with the calculated value.

In mathematics and various scientific disciplines, understanding double angle trigonometric identities is essential for solving complex problems involving angles and trigonometric functions.