The value of tan2 + cot2 - sec2 cosec2 is equal...

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

A. -2

B. 1

D. -1

Answer: Option A

Solution (By Examveda Team)

tan²θ + cot²θ - sec²θ.cosec²θ
Put θ = 45°
= tan²45° + cot²45° - sec²45°.cosec²45°
= 1 + 1 - (√2)².(√2)²
= 2 - 4
= -2

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