SSC CGL 2021 PYQ — Question 58

SSC CGL - 13 Aug 2021 - Shift 2 • Quantitative Aptitude • Q58

The value of  is:

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e. 

sin (30⁰) = 1/2

sin(60°) = √3/2

tan (60°) = √3

cos(60°) = 1/2

cos(90°) = 0

sec(30°) = 2 /√3

cot(45°) = 1

sec(60°) = 2

{(2 × 1/4 × √3) - (3 × 1/4 × 4/3)} ÷ {(4 × 1) - (4) + (3/4) + (0)}

= (√3/2 - 1) ÷ 4 - 4 + (3/4)

= (√3 - 2) ÷ (3/2)

= 2(√3 - 2)/3