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(sin + cosec )2 + (cos + sec )2 - 1...

This question belongs to Arithmetic Ability Trigonometry
Trigonometry
?

(sinθ + cosecθ)2 + (cosθ + secθ)2 - 1 = . . . . . . . .

Answer & Solution
Correct Answer: Option A
(sinθ + cosecθ)2 + (cosθ + secθ)2 - 1
= sin2θ + cosec2θ + 2 + cos2θ + sec2θ + 2 - 1
= (sin2θ + cos2θ) + 1 + cot2θ + 2 + 1 + tan2θ + 2 - 1
= 6 + tan2θ + cot2θ
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