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

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