Question

verify the identity.

1-sinx/cosx = cosx/1+sinx

Answer 1

you can "cross multiply" maybe and it should work out nicely

Answer 2

you get \(\cos^2(x)=(1+\sin^2(x))(1-\sin^2(x))\) and since
\[(1+\sin^2(x))(1-\sin^2(x))=1-\sin^2(x)\] you are pretty much done

Answer 3

thanks :)