sin(45° + θ) - cos(45° - θ) = ?


Answer:

0

Step by Step Explanation:
  1. Expression can be re-written as following:
    S = sin(45° + θ) - cos(45° - θ)
    ⇒ S = sin(45° + θ) - cos(90° - 45° - θ)
    ⇒ S = sin(45° + θ) - cos(90° - (45° + θ))
  2. Using identity: cos(90°-θ) = sinθ
    ⇒ S = sin(45° + θ) - sin(45° + θ)
    ⇒ S = 0

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