If sin x = cos x, find sin4x + cos4x.
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. .
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
SSC CGL - 19 Sep 2025 - Shift 2 • Quantitative Aptitude • Q53
If sin x = cos x, find sin4x + cos4x.
Correct answer: C
Explanation
The correct answer is option 3 i.e. .
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