Q. 213.5( 17 Votes )

Prove the followi

Answer :

Given:


Rationalizing the denominator,








= cot-1 (cot x/2)


= x/2


= RHS


Hence proved.


OR


Given: 2 tan-1 (cos x) = tan-1 (2 csc x)


We know that





sin x cos x = sin2 x


sin x (cos x – sin x) = 0


sin x = 0 or cos x – sin x = 0


sin x = cos x


tan x = 1


x = 0 or π/4


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