(cot x)/[(1-sin x)(sec x+tan x)]=?

int(cot xdx)/((1-sin x)(sec x+1))

(tan x)/(1-cot x)-(cot x)/(1-tan x)=(sec x cos(x+1))

(cosec x-sin x)(sec x-cos x)(tan x+cot x)=1

(cosec x-sin x)(sec x-cos x)(tan x+cot x)

What is (cosec x - sin x ) (sec x- cos x) (tan x + cot x) equal to ?

The value of (cosec x-sin x) (sec x-cos x) (tan x+cot x) is

int cot^(-1)(sec x-tan x)dx=

sin 2x (tan x + cot x) = ?

Which of the following pair(s) of function have same graphs? f(x)=(sec x)/(cos x)-(tan x)/(cot x),g(x)=(cos x)/(sec x)+(sin x)/(csc x)