Download Trig Review

PreCalculus Review
4.1-4.4 Trigonometry
Name:_____________________
Fill in the unit circle.
Use the information from the unit circle to give the following exact trig values:
3

1. tan
= ________
7. cot  = ______
4
4
2. sec -90º = _______
8. tan 210º = ______
3. csc 150º = _______
9. sec - 480º = ______
4. cot
10
= _______
3
10. csc 

2
= ______
11
= ______
6
5. sec -  = _______
11. tan 
6. csc 0º = _______
12. cot 300º = ________
13. Write the quadrant in which the given angle lies.
 7
4
a)
c)
6
3
b) 231˚
d) -100˚
17
15
 15
f)
4
e)
14. Write the complement and supplement to the given angle. (If any.)
a) 23˚

d)
5
b) 100˚
2
e)
3
c) 200˚
f)
9
8
15. Find the reference angle to the given angle. (Reminder: always positive!)
a) 25˚

 3
e)
g)
3
2
b) 100˚
4
17
f)
h)
c) 200˚
5
9
d) 300˚
16. Find one positive and one negative coterminal angle to the given angle.
a) 400˚
4
b)
5
17. The terminal side of the angle in standard position passes through the point (-5, 12). Find the
exact value(s) of the six trig functions. (Hint: Draw it out.)
sin   _____
csc   _____
cos   _____
sec   _____
tan   _____
cot   _____
18. Find the exact values of the six trig functions using the following information.
6
a) sec   and tan   0
5
sin   _____
csc   _____
cos   _____
sec   _____
cot   _____
tan   _____
3
b) sin   and cos  0
8
sin   _____
csc   _____
cos   _____
sec   _____
cot   _____
tan   _____
2
c) cos  
and sin   0
5
sin   _____
csc   _____
cos   _____
sec   _____
cot   _____
tan   _____
d) tan   3 and sin   0
sin   _____
csc   _____
cos   _____
sec   _____
cot   _____
tan   _____