Question

If 2sin²β − cos²β = 2, then β is ______.

Options

• 0°

• 90°

• 45°

• 30°

Answer 1

If 2sin²β − cos²β = 2, then β is 90°.

Explanation:-

2sin²β − cos²β = 2

Then 2 sin²β − (1 − sin²β) = 2

3 sin²β =3 or sin²β =1

β is 90°