Question

How do you simplify `sin^2theta` to non-exponential trigonometric functions?

Answer 1

`color(purple)( =>sin^2 theta = (1 - cos 2theta) / 2`

Explanation:

`sin^2 theta + cos^2 theta = 1, identity`

`1 - 2 sin^2 theta = cos 2theta, identity`

`sin^2 theta`

`:.color(purple)( =>sin^2 theta = (1 - cos 2theta) / 2`