Question

How do you simplify `sin4theta` to trigonometric functions of a unit `theta`?

Answer 1

4 `sin(theta) cos(theta) (cos(theta) + sin(theta)) ( cos(theta) - sin(theta))`

Explanation:

Use
sin(2A) = 2 sin(A) cos(A)
cos(2A) = (cos(A) - sin(A)) (cos(A) + sin(A))