SSC CGL 2016 PYQ — Question 89

SSC CGL Tier II Quant - 01/12/2016 • Quantitative Aptitude • Q89

If (a2 − b2) sin θ + 2ab cos θ = a2 + b2, than tan θ

Show answer & explanation

Correct answer: B

Explanation

The correct option is 2.

(a2 − b2) sin θ + 2ab cos θ = a2 + b2

divide it by a2 + b2

we get 

 = 1 (∵ sin2 θ + cos2 θ = 1)

here sin θ = 

cos θ = 

tan θ =