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Q.

(1+cos⁡θ) (1−cos⁡θ) = _____

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a

sin2θ

b

cos2θ

c

cosec2θ

d

sec2θ 

answer is A.

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Detailed Solution

We know,
a2- b2= (a+b)(a−b)
(1+cos⁡θ) (1−cos⁡θ) =  1- cos 2θ             -------------(1)
Using trigonometry identity
sin2θ = 1 - cos 2θ                                ---------------(2)
Using equation (1) and (2).
(1+cos⁡θ) (1−cos⁡θ) = sin2θ 
 
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