SSC CHSL 2020 PYQ — Question 62

SSC CHSL - 17th October 2020 - Shift 2 • Quantitative Aptitude • Q62

(sin θ + cos θ)2 = 2, 0o < θ < 90o, then the value of θ is:

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3 i.e π/4

Understanding

Tricks

Application

The best method

Put the value of θ from the given options

So

Take θ = 45

Hence

(sin θ + cos θ)2

(sin 45 + cos 45)2

(1/√2 +1/√2)2

(2/(2)2 = 2

So 

This value is satisfied. 

Hence 

θ = 45 = π/4