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SSC CHSL 2019 PYQ — Question 75

SSC CHSL - 8th July 2019 - Shift 1 • Quantitative Aptitude • Q75

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If 2(cosec239°- tan251°) -2/3(sin90°) – tan256° y tan234° = y/3, then the value of y is:

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Correct answer: B

Explanation

Correct Answer is option 2 i.e. 1

Concept

Application

Cosec x = Sec (90 – x)

Tan x = Cot (90 – x)

Tanx = 1/Cotx

sec2x - tan2x = 1

2(cosec239°- tan251°) -2/3(sin90°) – tan256° y tan234° = y/3

⇒ 2(cosec2(90 – 51)°- tan251°) - 2/3 – tan256° y tan2(90 – 56) = y/3

⇒ 2(sec251°- tan251°) - 2/3 – tan256° y cot256 = y/3

⇒ 2 – 2/3 – y = y/3

⇒ 4/3 = 4y/3

⇒ y = 1