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SSC CHSL 2019 PYQ — Question 53

SSC CHSL - 9th July 2019 - Shift 1 • Quantitative Aptitude • Q53

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If 7 (cosec255∘ − tan235∘) + 2 sin 90∘ − ytan252∘ tan238∘ = y/2, then the value of y is:

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Correct answer: A

Explanation

Correct Answer is option 1 i.e. 6

Concept

Application

Tan x = Cot (90 – x)

Tanx = 1/Cotx

cosec2x − cot2x = 1

7 (cosec255∘ − tan235∘) + 2 sin 90∘ − ytan252∘ tan238∘ = y/2

⇒ 7 (cosec255∘ − cot255∘) + 2 sin 90∘ − ytan252∘ cot252∘ = y/2

⇒ 7 (1) + 2 (1) – y = y/2

⇒ 9 – y = y/2

⇒ 3y/2 = 9

⇒ y = 6