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SSC CGL 2019 PYQ — Question 37

SSC CGL Tier II Quant - 11/09/2019 • Quantitative Aptitude • Q37

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If θ lies in the first quadrant and cos2θ - sin2θ = 1/2, then the value of tan22θ + sin23θ  is ?

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Correct answer: C

Explanation

The correct answer is option 3 i.e. 4.

0° < θ < 90°

cos2θ - sin2θ = 1/2

⇒ cos2θ = 1/2

⇒ 2θ = 60°, θ = 30°

Hence,

tan260° + sin290° = 3 + 1 = 4