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SSC CHSL 2020 PYQ — Question 73

SSC CHSL - 19th October 2020 - Shift 3 • Quantitative Aptitude • Q73

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(√(Cosecx -1))/(√(Cosecx + 1)) is equal to:

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Correct answer: D

Explanation

The correct answer is Option 4 i.e Secx - tanx.

Understanding/Application

(√(Cosecx -1))/(√(Cosecx + 1))

(√(Cosecx -1))/(√(Cosecx + 1)) × (√(Cosecx -1))/(√(Cosecx - 1))

(Cosecx -1)/(√(Cosec2x - 1))

(1/sinx - 1)/(√cot2x)

[(1 - sinx)/sin]/(cosx/sinx)

(1 - sinx)/cosx

1/cosx - sinx/cosx

secx - tanx