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SSC CPO 2019 PYQ — Question 143

SSC CPO Tier I - 13th December 2019 - Shift 1 • Quantitative Aptitude • Q143

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If 3(cot2Ø - cos2Ø) = 1 - sin2Ø, 0º < Ø < 90º, then Ø is equal to:

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Correct answer: C

Explanation

The correct answer is Option 3 i.e. 60º

3(cot2Ø - cos2Ø) = 1 - sin2Ø

⇒3{{cos2Ø/sin2Ø) - cos2Ø} = cos2Ø

⇒ (1/sin2Ø) - 1 = 1/3

⇒ cot2Ø = 1/3

⇒ Ø = 60º