Question

How do you verify the identity (1-sin(X))/cos (X) = cos (X)/ (1 + sin (X)? Thank you!

Answer 1

Begin by multiplying the top and bottom of the left side by `(1+sinx)`. See below.

Explanation:

`((1-sinx)(1+sinx))/(cosx(1+sinx))`

`=(1-(sinx)^2)/(cosx(1+sinx))`

`=((cosx)^2)/(cosx(1+sinx))`

`=cosx/(1+sinx)`