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
SSC CGL Tier II Quant - 12/09/2019 • Quantitative Aptitude • Q34
The value of tan²θ + cot²θ - sec²θcosec²θ is equal to ?
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