Express each of the following as the product of sines and cosines: `sin5theta-sintheta`

Explanation

`sin 5 theta-sin theta`

`=2 sin (frac{5 theta-theta}{2}) cos (frac{5 theta+theta}{2})`

`{therefore sin A-sin B=2 sin (frac{A-B}{2}) cos (frac{A+B}{2})}`

`=2 sin 2 theta cos 3 theta`