| 1. |
Differentiate the following functions.
|
| 2. |
Graph the following functions
|
| 3. |
Convert into radians.
 |
| 4. |
Convert 5 radians into degrees.
 |
| 5. |
What is the length of the arc of a circle of radius 2 in, if the central angle corresponding to the arc is
|
| 6. |
What is the area of the sector of a circle of radius 2 in, if the central angle corresponding to the arc is
|
| 7. |
Suppose the hypotenuse of a right triangle is 2 in and one of the angles is . What are the lengths of the legs?
 |
| 8. |
Suppose a point corresponding to an angle on the unit circle is in the first quarter. Assume further that . What is the value of
|
| 9. |
Determine if the following equalities are true for all measured in radians.
| (a) |
 |
| (b) |
 |
| (c) |
 |
| (d) |
 |
| (e) |
 |
| (f) |
 |
| (g) |
 |
| (h) |
.
|
|
| 10. |
Compute the following limits.
|