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SSC CGL 2022 PYQ — Question 74

SSC CGL - 02 Dec 2022 - Shift 1 • Quantitative Aptitude • Q74

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 If cot x – tan x = 3/2, then what will be the value of cot x + tan x?

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Correct answer: C

Explanation

The correct answer is option 3 i.e. 5/2

Formula used:

If x - 1/x = a then

x + 1/x = (√(a2 + 2))            ----- (1)

Calculations:

Let cot x = m and tan x = 1/m

⇒ m - 1/m = 3/2

Using equation (1), we get

⇒ m + 1/m = (√(3/22 + 2))

⇒ m + 1/m = √25/4 = 5/2

Hence, cot x + tan x = 5/2