# How do you simplify (cotx/sec^2x)+(cotx/csc^2x)?

$\left(\cos \frac{x}{\sin} x\right) \left({\cos}^{2} x\right) + \left(\cos \frac{x}{\sin} x\right) \left({\sin}^{2} x\right)$=
$= \left(\cos \frac{x}{\sin} x\right) \left({\cos}^{2} x + {\sin}^{2} x\right) = \cos \frac{x}{\sin} x = \cot x$