Question

Hi can someone please help me prove this trigonometric identity

#3 plz Shown above

Sin x- sin x cos ^2x =sin ^3x

Answer 1

The identity is true. sin x - sinx cos²x = sin³x

Explanation:

• Step 1: Prove the expression. sin x - sin x cos x = sin³x

Left Hand Side = sin x - sin x cos²x

= sin x(1 - cos²x) (Taking sin x as common)

= sin x (sin²x) (∵ 1 - cos²x = sin²x)

= sin³x

= Right Hand Side