SSC CGL 2019 PYQ — Question 34

SSC CGL Tier II Quant - 12/09/2019 • Quantitative Aptitude • Q34

The value of tan²θ + cot²θ - sec²θcosec²θ is equal to ?

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 ie -2.

Put θ = 45°

= tan²45° + cot²45° - sec²45°cosec²45°

= 1 + 1 - (2 × 2)

= 2 - 4

= -2