Question

Write sin (4theta) in terms of sin (2theta) and cos (2theta).

Answer 1

2 sin 2 theta cos 2 theta

Explanation:

Mathematically;

sin (4theta) = sin (2theta + 2theta)

Using the sine addition rule

That would be;

sin 2 theta cos 2 theta + sin 2 theta cos 2 theta

= 2 sin 2 theta cos 2 theta