SSC CHSL 2023 PYQ — Question 60

SSC CHSL - 11 Aug 2023 - Shift 2 • Quantitative Aptitude • Q60

If tan(90 - θ\theta) =23\frac{2}{\sqrt3}, then the value of 232\sqrt3 tan θ\theta + 1 is:

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e. 4.

tan(90 - θ) = 2/√3

cot θ = 2/√3

⇒ tan θ = √3/2

So, (2√3)tan θ + 1 = (2√3)(√3/2) + 1 = 3 + 1 = 4