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Name
MAT 182 – ALGEBRA & TRIGONOMETRY II
99-2
Winnington
CHAPTER 6 PRACTICE TEST
NO CALCULATOR!
1.
Draw the terminal side of the angle
8
.
3
y
x
2.
What is the reference angle?
3.
What are the exact values of the six trigonometric functions?
OVER
4.
Draw the graph of 2 sin x. Label your graph.
Name
MAT 182 – ALGEBRA & TRIGONOMETRY II
99-2
Winnington
CHAPTER 6 TEST
WITH CALCULATOR!
Using your calculator, give approximate values.
1.
cos

12
2.
sin 89 45 '
3.
sec 42.56
4.
cot
6.
sec 30 cos 30  tan 60 cot 60
7
12
Find the exact value of the expression.
5.
7.
3 tan



+ sec
sin
4
6
3
sec 2 t  1
Express
in terms of a single trigonometric function. (1 + tan2  = sec2 )
sec 2 t
 is an acute angle of a right triangle and csc  =
6
. Evaluate each function.
5
8.
cos 
9.
sin 
10.
sec 
11.
tan 
12-17. Find the values of the six trigonometric functions of an angle in standard
position with the point (2, 6) on the terminal side.
12.
sin 
13.
cos 
14.
tan 
15.
cot 
16.
csc 
17.
sec 
State the amplitude, period, and phase shift of the graph of each function.
18.
y=
1
x

tan    
2
2

19.
x 
y = 3 sec   
4 2
20.
y=
3
 x 3 
sin  

4 
2
4
21.
y = 6 cos 3x
Graph one full period of each function.
22.


y = sin  x  
6

23.
y = csc (2x + )
24.
y = sin x
25.
Explain how to find reference angles. Why would we want to find reference
angles?
BONUS: Why is division by zero undefined?