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

Answer: Option A

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