Trigonometry proof, can you cut it?

Question

This is a simple one, all you have to do is prove that both sides equal each other using trig proofs. If you don't know what I'm talking about then don't even bother trying:

Prove:

(1 - sin X) / (cos X) = (cos X) / (1 + sin X)

If you can! :p

Answer 1

(1 - sin X) / (cos X) = (cos X) / (1 + sin X)
multiply both sides by 1 + sin X to get
(1 - sin X) *(1 + sin X)/ (cos X) = (cos X)
multiply both sides by cos X to get
(1 - sin X) *(1 + sin X) = cos^2 X
since (1 - sin X) *(1 + sin X) = 1 - sin^2 X
1 - sin^2 X = cos^2 X
move -sin^2 X to the right side
1 = sin^2 X + cos^2 X, a well known identity

Answer 2

only studing complicated and attempt to pay interest. as quickly as I had a very undesirable grade at college yet i in my opinion had to be greater helpful at math so I studied plenty and now I actual have As and Bs and are tutoring my acquaintances.

Answer 3

u r asking question or taking test?