The side opposite angle F has length 7, the side adjacent to angle F has length 24, and the hypotenuse has length 25.

$\displaystyle{\cot{{F}}}=\frac{\ \text{ adjacent}}{\ \text{ opposite}}=\frac{{24}}{{7}}\usepackage{cmbright}\Huge\$

$\displaystyle{\cos{{F}}}=\frac{\ \text{ adjacent}}{\ \text{ hypotenuse}}=\frac{{24}}{{25}}\usepackage{cmbright}\Huge\$