Chapter 8.6, Problem 1CE

To determine

To express $\sin A,\cos A\text{and}\tan A$ as fractions by using the triangle shown below.

  

Answer to Problem 1CE

  $\sin A=\frac{8}{17},\cos A=\frac{15}{17}\&\tan A=\frac{\text{8}}{\text{15}}$

Explanation of Solution

Given:

  

Calculation:

In the given triangle,

  $\begin{array}{l}\sin A=\frac{\text{opposite}}{\text{hypotenuse}}\\ =\frac{8}{17}\\ \cos A=\frac{\text{adjacent}}{\text{hypotenuse}}\\ =\frac{15}{17}\\ \tan A=\frac{\text{opposite}}{\text{adjacent}}\\ =\frac{8}{15}\end{array}$