Question

sin² A + sin²(90° − A) is equal to ______.

Options

• −1

• 1

• 2

• −2

Answer 1

sin² A + sin²(90° − A) is equal to 1.

Explanation:

sin (90° − A) = cos A

To prove:

sin² A + sin² (90° - A)

⇒ sin² A + cos² A

⇒ 1