Precalculus

Name:

Date:

1. Convert the angle 6.8, given in radians, to degrees. Round your answer to three decimals.

2. Convert the angle 135 to radians

3. The circular blade of a saw has a diameter of 8.5 inches and rotates at 2200 revolutions per minute. Find the angular speed in radians per second.

4. Find the exact value of sec for the triangle pictured below.

2

4

5. A 45-meter line is used to tether a helium-filled balloon. Because of a breeze, the line makes an angle of approximately 65 with the ground. What is the height of the balloon? Round your answer to two decimals.

6. One end of a zip-line cable is attached to the top of a 80-foot pole while the other end is anchored at ground level to a stake exactly 70 feet from the base of the pole. How many feet of cable are needed for the zip-line?

7. If sin 7

8

and cos 0, find cot .

8. Use the below values to find cot . Round your answer to three decimals.

sin 74 0.9613 cos 74 0.2756

9. Use a graphing utility to graph the function below, making sure to show at least two periods.

sec x

2

10. Find the period of

y 2sin 11x.

2

4

11