Question

Prove it cos (a) -sin (a) +1 / cos (a) + sin (a) -1 = cosec ( a) + cot (a) ​

Answer 1

here is the proof of your question see the solution

Answer 2

First divide numerator and denumerator of LHS by sina and use formula 1 = cosec^2a - cot^2a and factorise and solve. Then, RHS is obtained.