Explain how to find the measure of an unknown acute angle in a right triangle.

Find the following ratio $\triangle D E F$ where $m \angle E$ = $90^\circ$ DE = 4, EF= 3, DF = 5.

$$\cos D$$

Find each ratio by drawing a reference angle. $\tan 300^{\circ}$

If $-5 x+y=12$ and 5x+8y=6, what is the value of 9y?

Round answers to the nearest hundredth if necessary. If y varies inversely as x, and y=18 when x=3, find y when x=38.

Find each ratio by drawing a reference angle. $\sin 480^{\circ}$

Rationalize.Write in simplest radical form. $\sqrt{\frac{32}{10}}$

Find each ratio by drawing a reference angle. $\cos \left(-45^{\circ}\right)$

Find the following ratio by drawing a reference angle.

$\sin 315^{\circ}$

Rationalize.Write in simplest radical form. $\frac{\sqrt{8}}{\sqrt{3}}$

Find each ratio by drawing a reference angle. $\sin 315^{\circ}$

Find each ratio by drawing a reference angle. $\sin 330^{\circ}$

Find each ratio by drawing a reference angle. $\cos 240^{\circ}$

In $\triangle F H G$, $\angle F H G$ = $90\degree$, F G = 15, G H = 9, H F = 12. Find ratio.

$$\cos F$$