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SSC CHSL 2021 PYQ — Question 64

SSC CHSL - 13 April 2021 - Shift 1 • Quantitative Aptitude • Q64

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If 5 sin2 θ =3 (1 + cos θ), 0° < θ <90° , then the value of cosecθ + cotθ is 

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Correct answer: A

Explanation

The correct answer is Option 1 i.e. 73\sqrt{{7} \over 3}

Given that

5 sin2 θ =3 (1 + cos θ)

5 (1 - cos2 θ) = 3 (1 + cos θ)

5 cos2 θ + 3 cos θ - 2 =0

cos θ = 2/5

sin θ = √21/5

Now, cosecθ + cotθ = 5/√21 + 2/√21 = 7/√21 =73\sqrt{{7} \over 3}