Q. 213.5( 17 Votes )

Prove the followi

Answer :


Rationalizing the denominator,

= cot-1 (cot x/2)

= x/2


Hence proved.


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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