Question #6dd84

1 Answer
Nityananda
Oct 23, 2017

Proved L.H.S. = R.H.S.

Explanation:

We have to prove, #(sin x cos x)/[(1+cos x)(1-cos x)] = cot x#

L.H.S. = #(sin x cos x)/[(1+cos x)(1-cos x)}#

#rArr (sinx cos x)/(1^2 - cos^2x)# { As #(a+b)(a-b) = (a^2-b^2)#]

#rArr (sin x cos x)/sin^2x# [As #sin^2x+cos^2 = 1, so, 1 - cos^2x = sin^2x#]

#rArr cos x/sin x#

#rArr cotx # = R.H.S.

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