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SSC CPO 2025 PYQ — Question 137

SSC CPO - 10 Dec 2025 - Shift 1 • Quantitative Aptitude • Q137

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If tanx=cot(2x-15°) find x

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Correct answer: B

Explanation

tan x = cot(2x − 15°)

According to the formula:

cotθ = tan(90° − θ)

tan x = tan(90° − (2x − 15°))

= tan(105° − 2x)

⇒ x = 105° − 2x

⇒ 3x = 105°

⇒ x = 35°