Question

sin(x) cos(x)cot(x)=cscx?

Answer 1

$sin(x)cos(x)cot(x) = csc(x)$
$sin(x)cos(x)[\frac{cos(x)}{sin(x)}] = \frac{1}{sin(x)}$
$cos^{2}(x) = \frac{1}{sin(x)}$
$sin(x)cos^{2}(x) = 1$

It is undefined.