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Pre-Calculus Worksheet
#8 Trig Unit Circle DAY 1
I.
1.
Name: __________________
Period: ____
Find the 6 trigonometric function values for the given point on the terminal side of the angle,
5, 12
2.
 24, 7
3.
 4,5
sin  
csc  
sin  
csc  
sin  
csc  
cos 
sec  
cos 
sec  
cos 
sec  
tan  
cot  
tan  
cot  
tan  
cot  
II.
.
Given the provided information, find the exact values of the other five trigonometric functions.
4. tan  
3
and cos  0
4
5. csc   
5
and sec  0
2
sin   ______
cos   ______
tan   ______
sin   ______
cos   ______
tan   ______
csc   ______
sec   ______
cot   ______
csc   ______
sec   ______
cot   ______
III.
6.
Evaluate the six trigonometric function values for each quadrantal angle.
  180
7.
 
3
2
sin   ______
cos   ______
tan   ______
sin   ______
cos   ______
tan   ______
csc   ______
8.   8
sec   ______
cot   ______
csc   ______
sec   ______
cot   ______
sin   ______
cos   ______
tan   ______
sin   ______
cos   ______
tan   ______
csc   ______
sec   ______
cot   ______
csc   ______
sec   ______
cot   ______
9.
  450
tan  0
12.
csc  0 and cot   0
13.
sin  0 and sec  0
14.
sin  0
15.
sec is undefined
16.
sec  0 and tan  0
17.
cot   0
V.
State the quadrant(s) or axis in which

IV.
10.
Sketch the angle in standard position. Then shade in the reference angle and give its measure.
Keep radians in radians and degrees in degrees.
18. 100
VI.
terminates based on the given information.
11. tan  0 and cos  0
19. 135
20. 275
21. 
7
4
Give the measure of an angle that has the given reference angle and that terminates in the
designated quadrant. Keep radians in radians and degrees in degrees. A sketch may help.
22. 80 ; terminates in
Q III
23.
QI

8
; terminates in
24. 50 ; terminates in
Q II
25.

; terminates in
3
Q IV