Answer :

To Find: General solution.


Given: cot x + tan x = 2 cosec x cos2x + sin2x = 2 sinx cosx cosec x 1 = sin 2x cosec x


cosec 2x = cosecx sin x = sin 2x sin x = 2 sin x cos x sin x = 0 or cos x = = cos()


Formula used: sin = 0 = n, cos = cos = 2n


By using above formula , we have


x = n or x = 2m where n, m I


So general solution is x = n or x = 2m where n, m I


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