Download Precal Unit 3 Test

Precal Review
Trigonometry
Name: ______________________________
1. Label all parts of the unit circle found in Quadrant I
(degrees, radians, coordinates)
2. Write down the eleven trig identities you know so far.
3. Which of the six trig functions are negative in Quadrant II?
Find the value of each of the following.
6. cos 2 
7. tan
3
4
4. sin

4
5. sec
8. sin 150
5
6
9. cot 90
10. If an angle in standard position measures
8
radians, in which quadrant does its
5
terminal side lie?
11. Find two angles coterminal with an angle measuring 174 degrees.
12. Find two angles coterminal with an angle measuring

radians.
3
Change from degrees to radians or radians to degrees.
13. 72
14.

5
3
and the terminal side of the angle is in Quadrant IV, find the value of
5
the other five trig functions.
15. If sin  =
16. Find the value of the six trig functions of an angle in standard position if the point at
(- 5, 12) lies on its terminal side.
17. Describe the relationship between an angle of elevation and an angle of depression.
18. In which quadrants is tan A negative?
19. Explain why an angle has infinite coterminal angles.
20. Find the reference angle for each of the following:
a.)
17
4
b.) 
2
7
c.)
13
3
5
6
21. Write down the values of tan A for all angles found in quadrant I of the unit circle.
d .) 181
e.)  44
f .)
22. In which quadrants is cscA negative?
23. Write a short right triangle problem in the space below, draw a diagram of it then
solve it.
24. The formula for finding the area of a sector is _________________________.
25. A sector has a radius of 18 cm and a central angle measuring 2 radians. Find the area
of the sector..