Verify the identity 2 cos 3x sin x 2 sin x cos x 8 cos x sin

Last updated: 6/11/2023

Verify the identity 2 cos 3x sin x 2 sin x cos x 8 cos x sin x Working with the left hand side use a Product to Sum Identity and then simplify LHS 2 cos 3x sin x 2 LHS 2 1 sin 3x x Use a Double Angle Identity for the first term and then simplify by grouping like terms LHS 2 1 II sin 2x sin 2x Use the Double Angle Identities as needed and then simplify by finding the product 1 2 1 2 sin x 1 1 sin 2x 8 cos x sin x 2 sin x cos x 8 cos x sin x