Draw an angle in standard position with the given measure.

$$\frac{5 \pi}{6}$$

Draw the angle provided in standard position on the Cartesian plane.

$$\frac{5 \pi}{4}$$

Find the exact value of $\sin \frac{\pi}{6}$.

Find the exact value of each trigonometric function.

$$\cos \frac{\pi}{3}$$

Find the lengths of the missing sides if side $a$ is opposite angle $A$, side $b$ is opposite angle $B$, and side $c$ is the hypotenuse.

$$\tan A=100, b=100$$

Draw an angle in standard position with the given measure.

$$\frac{7 \pi}{4}$$

Find the lengths of the missing sides if side $a$ is opposite angle $A$, side $b$ is opposite angle $B$, and side $c$ is the hypotenuse.

$$\tan A=\frac{5}{12}, b=6$$

If the point (5, 3) is on the graph of an even function, what other point must also be on the graph?

If the point $(5,3)$ is on the graph of an even function, what other point must also be on the graph?

A box with an open top is to be constructed from a rectangular piece of cardboard with dimensions 14 in. by 22 in. by cutting out equal squares of side x at each corner and then folding up the sides as in the figure. Express the volume V of the box as a function of x.

A ship is moving at a speed of 30 km/h parallel to a straight shoreline. The ship is 6 km from shore and it passes a lighthouse at noon. Express d as a function of t, the time elapsed since noon; that is, find g so that d=g(t).

Find the exact value of each expression.

$$\csc \frac{\pi}{4}$$

Find the exact value of each trigonometric function.

$$\cos \frac{\pi}{2}$$

Draw the angle provided in standard position on the Cartesian plane.

$$75^{\circ}$$