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

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

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This question belongs to Arithmetic Ability Trigonometry

Trigonometry

?

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

A) -2 B) 1 C) 0 D) -1

Answer & Solution

Correct Answer: Option A

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

Question posted by Examveda

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