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SSC CGL 2021 PYQ — Question 52

SSC CGL - 24 Aug 2021 - Shift 1 • Quantitative Aptitude • Q52

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Simplify sec⁡2a(1+1csc⁡α)(1−1csc⁡α)\sec^2a(1+\dfrac{1}{\csc\alpha})(1-\dfrac{1}{\csc\alpha})

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Correct answer: C

Explanation

The correct answer is option 3 i.e. 1

sec⁡2a(1+1csc⁡α)(1−1csc⁡α)\sec^2a(1+\dfrac{1}{\csc\alpha})(1-\dfrac{1}{\csc\alpha}) can be written as,

= 1/cos2α × (1 + sinα)(1 - sinα)

= 1/cos2α × cos2α.

= 1.