Question

How do you prove `cos(x) / (1-sin(x)) = sec(x) + tan(x)`?

Answer 1

sec(x) + tan(x) = `!/cos(x) - sin(x)/cos(x)` = `(1 - sin(x))/cos(x)`. So, cross-multiplication gives the proof.

Explanation:

cos(x) cos(x) + sin(x) sin(x) = 1