SSC CGL 2021 PYQ — Question 71

SSC CGL - 24 Aug 2021 - Shift 2 • Quantitative Aptitude • Q71

If sin2 θ = 2sinθ - 1, 0° ≤ θ ≤ 90°, then find the value of : .

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3 i.e. 2

sin2 θ = 2sinθ - 1

sin2 θ - 2sinθ + 1 = 0

(Sin θ - 1)2 = 0

Sin θ = 1

Sin θ = Sin 90°

θ = 90°

= (1 + Cosec 90°)/(1 - Cot 90°)

= (1 + 1)/1 - 0

= 2