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SSC CPO 2023 PYQ — Question 137

SSC CPO - 05 Oct 2023 - Shift 3 • Quantitative Aptitude • Q137

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If 2sinA−cosAsinA+cosA\frac{2 sin A - cos A}{sin A + cos A} = 1, then find the value of cot A.

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Correct answer: B

Explanation

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

⇒ 2sinA−cosAsinA+cosA\frac{2 sin A - cos A}{sin A + cos A} = 1

⇒ 2sinA−cosA=sinA+cosA{2 sin A - cos A} = {sin A + cos A}

⇒  sinA=2cosA{ sin A } = { 2 cos A}

⇒ cosAsinA=12{cos A\over sinA } = \frac{1}{2}

⇒ cotA=12cotA = \frac{1}{2}