Question

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.

Answer 1

We want to find the trigonometrical ratios of the angle B.

1.

`\begin{gathered} \tan B=\frac{\text{opposite}}{\text{adjacent}} \\ =(4)/(3) \end{gathered}`

2.

`\begin{gathered} \cos B=\frac{\text{adjacent}}{\text{hypotenuse}} \\ \cos B=(3)/(5) \end{gathered}`

3.

`\begin{gathered} \sin B=\frac{\text{opposite}}{\text{hypotenuse}} \\ \sin B=(4)/(5) \end{gathered}`

Therefore, we find out that;

`\tan B=(4)/(3),\cos B=(3)/(5),\sin B=(4)/(5)`