# What is the Formula of Sin C – Sin D ?

## Solution :

The formula of sin C – sin D is 2 sin($$C – D\over 2$$) cos($$C + D\over 2$$).

Example : Express sin $$6\theta$$ – sin $$2\theta$$ as a product.

Solution : We have,

sin $$6\theta$$ – sin $$2\theta$$ = 2 sin($$6\theta – 2\theta\over 2$$) cos($$6\theta + 2\theta\over 2$$)

= 2 sin $$2\theta$$ cos $$4\theta$$

## Similar Formulas

What is the Formula of Sin C + Sin D ?

What is the Formula of Cos C + Cos D ?

What is the Formula of Cos C – Cos D ?