Question

Prove identity:
sin(x – y)sin(x + y) = sin^2 x – sin^2 y

Answer 1

Just expand each of the \( \sin(x – y) \) and \( \sin(x + y) \) and find the product.

Answer 2

Thank You :)

Answer 3

Glad to help :)

Another interesting identity: \[ \cos(x – y)\cos(x + y) = \cos^2 x – sin^2 y \]