SSC CGL 2024 PYQ — Question 58

SSC CGL - 24 Sep 2024 - Shift 1 • Quantitative Aptitude • Q58

If sin3A = cos(A - 26°), then A _____________ where 3A is an acute angle. 

Show answer & explanation

Correct answer: B

Explanation

The correcta answer is option 2 i.e. 29.

Given that, sin3A = cos(A - 26°)

When sinx = cosy, then the angles x and y are complimentary to each other, i.e., x + y = 90°.

According to the given question,

⇒ 3A + A - 26° = 90°

⇒ 4A = 116°

⇒ A = 29°