Having some trouble proving this identity.

$\displaystyle cosx+ sinxtanx= \frac {1}{cosx}$

This is where I keep getting stuck.

$\displaystyle R.S=\frac {1}{cosx}$

$\displaystyle L.S= cosx+ sinx\frac {sinx}{cosx}$

$\displaystyle =cosx + \frac {sin^2x}{cosx}$

$\displaystyle =\frac {1 + sin^2x}{cosx}$

Help please.

Thanks in advance.

Sincerely,

Raymond