SSC CGL 2018 PYQ — Question 54

SSC CGL Tier II Quant - 17/02/2018 • Quantitative Aptitude • Q54

What is the value of [tan²(90 - θ) - sin²(90 - θ)] cosec²(90 - θ) cot²(90 - θ) ?

Show answer & explanation

Correct answer: B

Explanation

The correct answer is option 2 ie 1.

Put θ = 45°

= [tan²45° - sin²45°] (cosec²45°)(cot²45°)

= (1 - 1/2) (2)(1)

= 1