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# 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.

## 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.

- Sin
^{2}x, Cos^{2}x, Tan^{2}x - Sin
^{3}x, Cos^{3}x, Tan^{3}x - Sin
^{4}x, Cos^{4}x, Tan^{4}x

## Power reduction formulas

Power-reducing equations are given below.

**sin**^{2}θ = [1 – cos (2θ)] / 2

cos^{2}θ = [1 + cos (2θ)] / 2

tan^{2}θ = [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

*tan*^{2}θ.**Solution:**

**Step 1: **Assign the given angle to *θ.*

*θ = 45**°*

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

*tan*

^{2}θ.*tan ^{2}θ = [1 - cos (2θ)]/ [1 + cos (2θ)]*

*tan ^{2 }(45°) = [1 - cos (2(45°)]/ [1 + cos (2(45°)]*

*tan ^{2 }(45°) = [1 - cos (90°)]/ [1 + cos (90°)]*

*tan ^{2 }(45°) = [1 – 0]/ [1 + 0]*

*tan ^{2 }(45°) = 1/ 1*

*tan ^{2 }(45°) = 1*