Prove: ((sec x - tan x)^2 + 1)/((sec x csc x) - (tan x csc x)) = 2tan x?

(sec^2(x))/(csc(x) sec(x)-sec(x))+1/(csc(x) sec(x)-sec(x))+(tan^2(x))/(csc(x) sec(x)-sec(x))-(2 tan(x) sec(x))/(csc(x) sec(x)-sec(x)) = 2 tan(x)