Download Chapter 3 - Ohlone College

Name
Trigonometry Test #2
Bloom
1. Fill in the coordinates on the unit circle.
y
(
)
(
( , )
)
,
(
,
)
(
,
(
)
,
π
2
)
(
π
3
2π
3
,
)
,
π
4
3π
4
π
6
5π
6
( , )
( , )
π
7π
6
(
11π
6
)
5π
4
,
(
7π
4
4π
3
(
x
2π
5π
3
3π
2
)
(
,
)
,
(
)
(
,
)
,
( , )
2. Convert 246◦ into radian. Give your answer as an exact number.
3. Give the degree measure of a
)
,
11π
radian angle.
9
4. What is the reference angle for an angle of
15π
11
5. On the unit circle, what is the reference arc for an arc length of 3.9586?
6. Find the exact value of the six trigonometric functions for an angle of θ =
8π
3
7. For what angles (on the interval [0, 2π)), in radians, is cosecant undefined?
8. Use a calculator to find the value of sin(15). Round your answer to 4 decimal places.
9. Use a calculator to find the value of cot(5.2435). Round your answer to 4 decimal places.
10. Approximate the values of s in the interval [0, 2π] if cos s = 0.8653. Round your answer to 4
decimal places.
11. Approximate the values of s in the interval [0, 2π] if tan s = −1.3975. Round your answer to
4 decimal places.
12. The front wheel on a tricycle has a diameter of 18 inches. The rear wheels have a diameter
of 12 inches. Through how many degrees has the front wheel rotated when the rear wheel
turns one complete rotation?
15 in
9 in
13. A windshield wiper is 15 inches long and rotates through an angle of 70◦ . The rubberized
portion of the wiper is 9 inches long. What is the area cleared by the wiper? (Give your
answer as an exact number and as a decimal number rounded to two decimal places)
•
14. A paddle wheel is being turned by the current of a river. The paddle wheel is turning 10
times per minute and has a radius of 10 feet. How fast is the current of the river moving in
feet per minute?
15. A ferris wheel completes one revolution every three minutes. The ferris wheel has a radius of
40 feet.
(a) What is the angular velocity of the ferris wheel in radians per minute?
(b) What is the linear velocity, in feet per minute, of a passenger travelling around the
wheel?