SSC CGL 2018 PYQ — Question 44

SSC CGL Tier II Quant - 09/03/2018 • Quantitative Aptitude • Q44

If (A + B + C) = 90º, then what is the value of ?

Show answer & explanation

Correct answer: C

Explanation

The correct answer is Option 3 i.e. 1/√2

Application

Given: (A + B + C) = 90º

Sin (A/2) Sin [(180 – B – C)/2] + Cos (A/2) Sin (B + C)/2

Put B = C = 0 then A = 90

So

Sin (90/2) Sin [(180 – 0] + Cos (90/2) Sin 0

= 1/√2 × 0 + 1/√2

= 1/√2