Question

tanA/(1-cotA)+cotA/(1-tanA)=1+secAcosA

Answer 1

first change the tanA and cot A in the terms of sinA and Cos A and then solve the problem .

Answer 2

=1+sin²A + cos²A/sinA cosA
=1+1/sinA cosA
=1+cosecA secA

Above is the required answer..
I use A instead of theta, but after the picture answer I used A.