Question

If cos A + cos² A = 1 then (sin² A + sin⁴ A) = ?

Options

• `1/2`

• 2

• 1

• 4

Answer 1

1

Explanation:

cos A + cos² A = 1

⇒ cos A = (1 – cos² A) = sin² А

∴ (sin² A + sin⁴ A) = (cos A + cos² A) = 1