(sinθ + cosecθ)2 + (cosθ + secθ)2 - 1 = . . . . . . . .
A. 6 + tan2θ + cot2θ
B. tan2θ - cot2θ
C. sin2θ - cot2θ
D. 6 - sin2θ + cos2θ
Answer: Option A
Solution(By Examveda Team)
(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
This Question Belongs to Arithmetic Ability >> Trigonometry
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