If tan A = cot(2A + 30°), then what is the value of A?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 20°.
tan A = cot(2A + 30°) = tan(60° - 2A)
⇒ A = 60° - 2A
⇒ 3A = 60°
⇒ A = 20°
SSC CGL - 14 Sep 2025 - Shift 3 • Quantitative Aptitude • Q56
If tan A = cot(2A + 30°), then what is the value of A?
Correct answer: D
Explanation
The correct answer is option 4 i.e. 20°.
tan A = cot(2A + 30°) = tan(60° - 2A)
⇒ A = 60° - 2A
⇒ 3A = 60°
⇒ A = 20°