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

$$\sin F$$

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

Find each ratio by drawing a reference angle. $\cos 225^{\circ}$

The two legs of a right triangle measure 23.5 and 27.9. Solve the triangle.

Find each ratio by drawing a reference angle. $\sin 585^{\circ}$

Simplify. $(x-5)(x+8)$

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

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

$$\cos D$$

Find the angle of elevation to the top of the 1250 -ft Empire State Building from a point 850ft from the base.

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

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

Find the following ratio by drawing a reference angle.

$\sin 315^{\circ}$

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

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