Power Reducing Calculator - Calculator Academy

Enter the angle you wish to convert and this power reducing calculator will determine the sin²θ , cos²θ , or tan²θ of that angle.

Power Reduction Formula

The following formulas are used to calculate the power reduction of an angle in trigonometric terms.

sin²θ = [1 – cos(2θ) ] / 2
cos²θ = [1 + cos(2θ) ] / 2
tan²θ = [1 – cos(2θ) ] / [1 + cos(2θ) ]

Power reducing is the process of calculating the squared value of the three trigonometric functions using a reducing power function as shown above.

How to calculate a power reducing trig function?

First, determine which trigonometric function is being analyzed.
For example, you may choose sin²θ to analyze.
Next, convert the function.
Using the formulas above, convert the function to a reduced power equation.
Finally, calculate the value.
Enter the angle into the function to calculate the value.

What is power reducing?

Power reducing involves the derivation of a function to calculate a squared value of a trigonometric function.