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SSC CPO 2022 PYQ — Question 111

SSC CPO - 11 Nov 2022 - Shift 2 • Quantitative Aptitude • Q111

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Simplify: cos4θ−sin4θsin2θcos^4θ - sin^4θ \over sin^2θ

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Correct answer: C

Explanation

The correct answer is Option 3 i.e. cot2θ - 1

(cos4θ - sin4θ)/sin2θ

Sin2θ + Cos2θ = 1

(a + b)(a - b) = a2 - b2

(cos4θ - sin4θ)/sin2θ = (cos2θ + sin2θ)(cos2θ - sin2θ)/sin2θ

(cos4θ - sin4θ)/sin2θ = (cos2θ/sin2θ) - 1

(cos4θ - sin4θ)/sin2θ = cot2θ - 1