If sin (60° – x) = cos (y + 60°), then the value of

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If sin (60° – x) = cos (y + 60°), then the value of sin (x – y) is

1. 2
  √2
2. 2
  2
3. √2
  2
4. 1

Correct Option: B

sin (60° – x) = cos (y + 60°)
⇒ sin (60°–x) = sin (90°– y – 60°) [ ∵ sin (90° – θ) = cos θ)
⇒ 60° – x = 90° – y – 60° = 30° – y
⇒ x – y = 60° – 30°
⇒ x – y = 30°

∴ sin (x - y) = sin 30° =	1
	2

	2
	√2

	√2
	2