Question

Complete the identity: cos(90 degrees - theta)

A) cosθ
B) sinθ
C) -sinθ
D) -cosθ

Answer 1

The completed identity is sin(θ) (option B).

Step-by-step explanation:

The identity can be completed as follows:

cos(90° - θ) = cos(90°)cos(θ) + sin(90°)sin(θ)

Since cos(90°) = 0 and sin(90°) = 1, the expression simplifies to:

cos(90° - θ) = 0cos(θ) + 1sin(θ)

Therefore, the answer is sin(θ) (option B).