Question

`(cos^(2) x-sin^(2)x)^(2) -sin4x+sin^(2)2x=0`

Answer 1

x=22.5°

Explanation:

(cos²x-sin²x)-sin4x+sin²2x=0

or, (cos2x)²-sin4x+sin²2x=0

or, cos²2x+sin²2x-sin4x=0

or, 1-sin4x=0

or, sin4x=1

or, 4x=90°

or, x=90°/4

or, x=22.5°