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SSC CPO 2023 PYQ — Question 137

SSC CPO - 04 Oct 2023 - Shift 2 • Quantitative Aptitude • Q137

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7sin2A+3cos27 sin^2 A + 3 cos^2A = 4, then find cotA:

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Correct answer: A

Explanation

The correct answer is option 1 i.e.  3\sqrt{3}.

Given that

 7sin2A+3cos27 sin^2 A + 3 cos^2A = 4,

⇒ 4 sin2 A + 3 sin2 A + 3 cos2 A = 4 

⇒ 4 sin2 A + 3 (sin2 A + cos2 A) = 4 

⇒ 4 sin2 A + 3 = 4 

⇒ 4 sin2 A = 4 - 3 = 1

⇒ sin2 A = 1/4

⇒ sin A = 1/2

A = 30º

Hence, cot A = cot 30º = 3\sqrt{3}