A right triangle has side lengths 3, 4, and 5 as shown below.Use these lengths to find tan B, cos B, and sin B.

We want to find the trigonometrical ratios of the angle B.
1.
[tex]\begin{gathered} \tan B=\frac{\text{opposite}}{\text{adjacent}} \\ =\frac{4}{3} \end{gathered}[/tex]2.
[tex]\begin{gathered} \cos B=\frac{\text{adjacent}}{\text{hypotenuse}} \\ \cos B=\frac{3}{5} \end{gathered}[/tex]3.
[tex]\begin{gathered} \sin B=\frac{\text{opposite}}{\text{hypotenuse}} \\ \sin B=\frac{4}{5} \end{gathered}[/tex]Therefore, we find out that;
[tex]\tan B=\frac{4}{3},\cos B=\frac{3}{5},\sin B=\frac{4}{5}[/tex]