SSC CHSL 2019 PYQ — Question 71

SSC CHSL - 3rd July 2019 - Shift 3 • Quantitative Aptitude • Q71

If tan x = cot (60° + 6x), then what is the value of x?

Show answer & explanation

Correct answer: D

Explanation

Correct Answer is option 4 i.e. 30°/7

Concept

Application

Tan x = Cot (90 – x)

tan x = cot (60° + 6x)

cot (90° - x) = cot (60° + 6x)

⇒ 90° - x = 60° + 6x

⇒ 7x = 30

⇒ x = 30°/7