How do I put "cos^2 theta" into the denominator of "1/1-sin theta"?

Answer 1

Multiply top and bottom by 1+sinθ:

1/(1-sinθ) * (1+sinθ)/(1+sinθ)
= (1+sinθ)/(1-sin^2θ)
= (1+sinθ)/cos^2θ

Answer 2

Thanks!! Why does it turn into cos^2 θ off of 1 + sinθ?