পাশের সমকোণী ত্রিভুজ থেকে   $\left ( \sin{\theta} + \cos{\theta} \right )$ ও   $\left ( \tan{\theta} + \cot{\theta} \right )$ এর অনুপাত হবে-

$\begin{array}{ll}\sin \theta=\frac{3}{5}, & \tan \theta=\frac{3}{4} \\ \cos \theta=\frac{4}{5}, & \cot \theta=\frac{4}{3}\end{array}$

$\frac{\sin \theta+\cos \theta}{\tan \theta+\cot \theta}=\frac{\frac{3}{5}+\frac{4}{5}}{\frac{3}{4}+\frac{4}{3}}=\frac{\frac{7}{5}}{\frac{9+16}{12}}=\frac{\frac{7}{5}}{\frac{25}{12}}$

$=\frac{7}{5} \times \frac{12}{25}=84: 125$