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Name _____________________________
Date ___________________

Trigonometry
(Answer ID # 0203454)
Given a point on the terminal side of in standard position, find the exact value of the trigonometric function.
1.   P(-6, -9); cos  =  
2.   P(-2, -6); csc  =  
3.   P(-9, 4); sec  =  
4.   P(5, 8); tan  =  
5.   P(3, -2); csc  =  
6.   P(8, -3); sec  =  

Given a point on the terminal side of in standard position, find the exact value of the six trigonometric functions of .
7.   P(-4, -3)
cot  =  csc  =  cos  =  sec  =  tan  =  sin  =  
8.   P(7, -7)
cot  =  tan  =  csc  =  sec  =  cos  =  sin  =  

Given the quadrant and one trigonometric function value of in standard position, find the exact value of the trigonometric function.
9.  
Quadrant I
tan  =  5
csc  =  
10.  
Quadrant I
cot  =  4
csc  =  
11.  
Quadrant III
cot  =  1
sec  =  
12.  
Quadrant IV
cot  =  -3
tan  =  

 

Find the exact value for each trigonometric function.
13.   tan 330
14.   sec (-540)
15.   sin (-300)
16.   csc 930
17.   cos 450
18.   cot 135

Find the exact coordinates of a point on a circle. Use the radius of the circle and the terminal side of .
19.   =30
r=5
20.   =240
r=50
21.   =-135
r=7.6
22.   =-420
r=3

Convert each degree measure to exact radian measure.
23.   850
24.   -442
25.   -526
26.   -593
27.   727
28.   366

Convert each radian measure to degree measure.
29.  
-34
15
30.  
-677
180
31.  
19
30
32.  
-79
45
33.  
31
6
34.  
61
20

 

Find the exact value for each trigonometric function.
35.  
cos 
17
6
36.  
sec 
-5
2
37.  
cot 
-17
4
38.  
csc 
25
6
39.  
tan 
2
3
40.  
sin 
-13
6

Convert each degree measure to exact radian measure.
41.   17
42.   -785
43.   937
44.   -147
45.   -525
46.   454

Find the exact value of each expression.
47.   sin(30 + 510)
48.   sin(225 + 300)
49.   cos(120 - 315)
50.   cos(60 - 225)

Find the exact value of each expression.
51.   cos(75)
52.   cos(255)
53.   sin(345)
54.   sin(195)

 

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