Prove the following identity : tan x/(1 - cot x) + cot x/(1 - tan x) = (sec x cosec x + 1)

Prove the following identity : tan x/(1 - cot x) + cot x/(1 - tan x) = (sec x cosec x + 1)

Prove the following identity : tan x/(1 - cot x) + cot x/(1 - tan x) = (sec x cosec x + 1)