Math 175: Cloutier
Exam 3
FA2012
Name: _____________________________________
ID: __________________________
Instructions:
Spread out!
Cover your tests!
Keep your eyes on your own papers!
You may use your calculators, but NO CELL PHONES!
Remove all ear pieces. Put away all electronic devices, the time will be written on the board.
Where applicable, show your work – points will be deducted for answer given without any work.
You will be given FIFTY-FIVE MINUTES for this Exam.
Page #
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Total
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30
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100
Points
Earned
Possible
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Math 175: Cloutier
Exam 3
FA2012
Part 1: NO scientific or graphing calculators.
1. (1 pt each) Evaluate:
a. sin  90 
b. tan  135

c. sec  60
d. cos 135


2. (2 pts each) Evaluate:
a. sin  0 
3. (2 pts each) Evaluate:


a. cos   8 
 4

4. (4 pts) Given tan  
 
b. cos  
2
 2 
d. csc  

 3 
 3 
c. tan  
 4 
b. sin 2  75   cos 2  75
1
3
and    
, find:
2
3

sin  & cos 
5. (2 pts each) Sketch an angle in standard position for:
13
7
a.
b.
3
6
2
c.
sin  20
  tan 200
 
cos  380 
Math 175: Cloutier
Exam 3
FA2012
Part 2: You may now use a calculator.
6. (3 pts each) Convert:
8
a.
radians to degree measure
15
b.
 3
to radian measure
7. (4 pts) Convert 5 radians to degrees, minutes, seconds.
8. (6 pts) A water sprinkler sprays water over a distance of 20 feet while rotating through an
angle of 150 . What area of lawn receives water?
9. (8 pts) Adam’s bicycle has a wheel diameter of 26 inches. If he travels 15 miles per hour on
the bicycle, how many revolutions per minute are the wheels turning? (Hints: 5,280 feet = 1
mile, 12 inches = 1 foot)
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Math 175: Cloutier
10. Given y  4sin  2 x  4  :
a. (2 pts) Amplitude =
Exam 3
FA2012
b. (3 pts) Period =
c. (3 pts) Phase shift =
d. (6 pts) Sketch one cycle (period):

1
11. (10 pts) Use transformations to graph one period of y   tan  x   .
2
2
y



x
12. (6 pts) Find a function y for the given graph:
(Hint: there is a phase shift)





y=


4





















Math 175: Cloutier
13. (6 pts) Given sin   
Exam 3
FA2012
5
and tan   0 , find the value of the remaining 5 trig functions.
13
14. (8 pts) Find the exact value of the six trig functions given that the point  5,11 is on the
terminal side of an angle  in standard position.
15. (6 pts) One of the Pythagorean Identities is sin 2   cos2   1 . Show how we obtain the
other two Identities.
Extra Credit: Find the asymptotes, domain and range of y  5sec  4 x     1
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