SSC CHSL 2024 PYQ — Question 55

SSC CHSL - 10 July 2024 - Shift 3 • Quantitative Aptitude • Q55

If 4sin2θ−43sinθ+3=04sin^2\theta-4\sqrt3sin\theta+3=0, then find the value of θ\theta. (0 < θ\theta < 90°)
 

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3 i.e. 60°.

Given, 4sin2θ−43sinθ+3=04sin^2\theta-4\sqrt3sin\theta+3=0

The given expression can be written as (2sin⁡θ−3)2=0(2 \sin\theta - \sqrt{3})^2 = 0

⇒ 2sin⁡θ=32\sin\theta = \sqrt{3}

⇒ sin⁡θ=32\sin\theta = \frac{\sqrt{3}}{2}

⇒ θ\theta = 60°