The sine and cosecant are reciprocals, as they should be. You can draw a right triangle with side opposite angle Y having length 9 and hypotenuse having length 41. Using the Pythagorean Theorem, you will find that the side adjacent to angle Y is 40. It follows that: $\displaystyle{\cot{{Y}}}=\frac{{a}}{{o}}=\frac{{40}}{{9}}\usepackage{cmbright}\Huge\$