Question

Rewrite with only sin x and cos x.

sin 2x - cos x

2 sin x cos2x
sin x
cos x (2 sin x - 1)
2 sin x

Answer 1

cos x (2 sin x − 1)

Explanation:

sin(2x) − cos x

Use double angle formula.

2 sin x cos x − cos x

Factor.

cos x (2 sin x − 1)