# How do you verify csc x cos (pi/2 - x) = 1?

$f \left(x\right) = \csc x . \cos \left(\frac{\pi}{2} - x\right) =$
$\csc x = \frac{1}{\sin} x$
$\cos \left(\frac{\pi}{2} - x\right) = \sin x$
$f \left(x\right) = \sin \frac{x}{\sin} x = 1$