SSC CGL 2025 PYQ — Question 53

SSC CGL - 19 Sep 2025 - Shift 2 • Quantitative Aptitude • Q53

If sin x = cos x, find sin4x + cos4x.

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3 i.e. 12\frac{1}{2}.

sin x = cos x

⇒ tan x = 1

⇒ x = 45°

sin4x + cos4x

= sin445° + cos445°

= (1/√2)4 + (1/√2)4

= 1/4 + 1/4

= 1/2