Chapter 8.4, Problem 17PPS

To determine

The values of the trigonometric ratios.

Answer to Problem 17PPS

  $\begin{array}{l}\sin J=\frac{56}{65}\\ \sin J=0.86\\ \text{and}\\ \sin L=\frac{33}{65}\\ \sin L=0.51\end{array}$ $\begin{array}{l}\cos J=\frac{33}{65}\\ \cos J=0.51\\ \text{and}\\ \cos L=\frac{56}{65}\\ \cos L=0.86\end{array}$ $\begin{array}{l}\tan J=\frac{56}{33}\\ \tan J=1.70\\ \text{and}\\ \tan L=\frac{33}{56}\\ \tan L=0.59\end{array}$

Explanation of Solution

Given:

The given figure is:

Calculation:

The values of the trigonometric ratios will be:

  $\begin{array}{l}\sin J=\frac{56}{65}\\ \sin J=0.86\\ \text{and}\\ \sin L=\frac{33}{65}\\ \sin L=0.51\end{array}$

$\begin{array}{l}\cos J=\frac{33}{65}\\ \cos J=0.51\\ \text{and}\\ \cos L=\frac{56}{65}\\ \cos L=0.86\end{array}$

$\begin{array}{l}\tan J=\frac{56}{33}\\ \tan J=1.70\\ \text{and}\\ \tan L=\frac{33}{56}\\ \tan L=0.59\end{array}$