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