Question

sin(45° + θ) – cos(45° – θ) is equal to ______.

पर्याय

• 2cosθ

• 0

• 2sinθ

• 1

Answer 1

sin(45° + θ) – cos(45° – θ) is equal to 0.

Explanation:

sin(45° + θ) – cos(45° – θ)

= cos[90° – (45° + θ)] – cos(45° – θ)  ...[∵ cos(90° – θ) = sinθ]

= cos(45° – θ) – cos(45° – θ)

= 0