Question

Verify the following identity:
cos(x)/sin(x)+1 = tan(x)-sec(x)+1/tan(x)+sec(x)-1
how do i start the problem?

Answer 1

\(\bf \cfrac{cos(x)}{sin(x)+1}=\cfrac{tan(x)-sec(x)+1}{tan(x)+sec(x)-1}\quad ?\)

Answer 2

Start by converting everything to sines and cosines only, get rid of all tan and sec, since they are just different ways of looking at sine and cosine.