If sin x = cos (x - 45°) where x is an acute angle find the value of x .

15° 45° 60° 30°

60°

We know that if sin A = cos B, then A + B = 90° ATQ, sin x = cos (x - 30°) ⇒ x + x - 30° = 90° ⇒ 2x = 120° ⇒ x = 60°