WeBWorK Standalone Renderer

If you would like to enlarge the graph or make numbers and letters easier to read, you may click on it to open it in a new window. You may then enlarge that window with your mouse. To further enlarge the image, use your browser’s zoom capabilities. On a PC this is usually ctrl shift + (and zooming out is ctrl -). On an Apple computer this is usually apple shift + (and zooming out is apple -).

This is a right triangle. The right angle is at the bottom left corner of the picture. Acute angle alpha is at the top left, and acute angle beta is at the bottom right. The length of the side facing angle alpha is 9; the length of the side facing angle beta is 12; the length of the side facing the right angle is marked as x.

Based on the given figure, find the following values of trigonometric functions. Note that in the graph, “alpha” stands for $\alpha$ , and “beta” stands for $\beta$ .

$\sin \alpha ={}$

$\sin \beta ={}$

$\cos \alpha ={}$

$\cos \beta ={}$

$\tan \alpha ={}$

$\tan \beta ={}$

You can earn partial credit on this problem.