Prove that secA + tanA - 1/tanA - secA+1 = cosA/1-sinA?

2] cos^2A(cos^2A-1)=(1-sin^2A)(-sin^2A) .[3] multiply N & D of LHS by 1+cosA , (1+c)^2/(1-c^2)=(1+c)^2/s^2 , the sqrt of this is (1+c)/s=1/s+c/s=cosecA+cotA