If sin x = cos y and cos x = sin y, then x + y equals:
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 90°.
sin x = cos y
⇒ sin x = sin(90° – y)
⇒ x = 90° – y (taking acute angles)
Then cos x = cos(90° – y) = sin y, which matches the second condition
So x + y = 90°