 # Power Reducing Identities Calculator

Enter the angle in the below input field. Use the given buttons to find the power reduced trigonometric identities using power reducing formula calculator.

Sin2x ---

Cos2x ---

Tan2x ---

Sin3x ---

Cos3x ---

Tan3x ---

Sin4x ---

Cos4x ---

Tan4x ---

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## Power Reducing Formula Calculator

Power reducing identities calculator is an online trigonometric tool that is used to reduce the power of trigonometric identities. It is a bit tricky to find the value of squared, cubed, or fourth power trigonometric identities.

This power reducing calculator solves the following identities by using the power-reducing formula to rewrite the expression.

• Sin2x, Cos2x, Tan2x
• Sin3x, Cos3x, Tan3x
• Sin4x, Cos4x, Tan4x

## Power reduction formulas

Power-reducing equations are given below.

sin2θ = [1 – cos (2θ)] / 2
cos
2θ = [1 + cos (2θ)] / 2
tan
2θ = [1 – cos (2θ)] / [1 + cos (2θ)]

These equations involve double angles to evaluate the square of trig identities.

## Reducing the power of trigonometric identities

Let’s use an example to understand the process of reduction identities.

Example:

For an angle of 45 degrees, find tan2θ.

Solution:

Step 1: Assign the given angle to θ.

θ = 45°

Step 2: Place the θ value in the power reduction equation of tan2θ.

tan2θ = [1 - cos (2θ)]/ [1 + cos (2θ)]

tan(45°) = [1 - cos (2(45°)]/ [1 + cos (2(45°)]

tan(45°) = [1 - cos (90°)]/ [1 + cos (90°)]

tan(45°) = [1 – 0]/ [1 + 0]

tan(45°) = 1/ 1

tan(45°) = 1

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