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