The sine function is the ratio between the opposite leg and the hypothenuse
[tex]\sin \theta=\frac{3}{\sqrt[]{13}}[/tex]
Then, we rationalize.
[tex]\sin \theta=\frac{3}{\sqrt[]{13}}\cdot\frac{\sqrt[]{13}}{\sqrt[]{13}}=\frac{3\sqrt[]{13}}{13}[/tex]
The cosine function is the ratio between the adjacent leg and the hypothenuse.
[tex]\begin{gathered} cos\theta=\frac{2}{\sqrt[]{13}} \\ \cos \theta=\frac{2}{\sqrt[]{13}}\cdot\frac{\sqrt[]{13}}{\sqrt[]{13}}=\frac{2\sqrt[]{13}}{13} \end{gathered}[/tex]
At last, the tangent function is the ratio between the opposite leg and the adjacent leg.
[tex]\tan \theta=\frac{3}{2}[/tex]
