SSC CPO 2023 PYQ — Question 114

SSC CPO - 03 Oct 2023 - Shift 3 • Quantitative Aptitude • Q114

If sin 2A = cos 15°, then the smallest positive value of A is:

Show answer & explanation

Correct answer: B

Explanation

The correct answer is option 2 i.e. 37.5°.

Given that

If sin 2A = cos 15°,

sin 2A = cos (90° - 75°) = sin 75°

2A = 75°

A = 75°/2 = 37.5°