Q236
(sinθ + cosecθ)2 + (cosθ + secθ)2 - 1 = . . . . . . . .
A.
6 + tan2θ + cot2θ
AnswerB.
tan2θ - cot2θ
C.
sin2θ - cot2θ
D.
6 - sin2θ + cos2θ
Answer: Option A
Solution
Answer: Option A
Solution:
(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