If tan x = cot(3x - 30°), find x.
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 30°.
tan x = cot(3x – 30°) = tan(120° – 3x)
⇒ x = 120° – 3x
⇒ 4x = 120°
⇒ x = 120°/4 = 30°
SSC CGL - 25 Sep 2025 - Shift 1 • Quantitative Aptitude • Q56
If tan x = cot(3x - 30°), find x.
Correct answer: C
Explanation
The correct answer is option 3 i.e. 30°.
tan x = cot(3x – 30°) = tan(120° – 3x)
⇒ x = 120° – 3x
⇒ 4x = 120°
⇒ x = 120°/4 = 30°