# How do you simplify  sin(π/2 - x) cscx?

$\cot x$.
We have, $\sin \left(\frac{\pi}{2} - x\right) = \cos x$
Hence, $\sin \left(\frac{\pi}{2} - x\right) \csc x = \left(\cos x\right) \cdot \frac{1}{\sin} x = \cos \frac{x}{\sin} x = \cot x$.