# How do you prove Sinx/Cosx+Cosx/Sinx = (Sin^2xCos^2x)/(CosxSinx)?

$\sin \frac{x}{\cos} x + \cos \frac{x}{\sin} x = \frac{{\sin}^{2} x + {\cos}^{2} x}{\cos x \sin x} \equiv \frac{1}{\cos x \sin x}$
From the identity ${\sin}^{2} x + {\cos}^{2} x = 1$