Download A calculator is only allowed on #19 – 24

Pre-Calculus Review
5.1 – 5.3 – Trigonometric Functions
(A calculator is only allowed on #19 – 24)
Name _______________________
Date __________ Period _______
1.] Sketch the angle whose measure is 200 (in standard position).
__________ 2.] What is the domain of the sine function?
__________ 3.] What is the period of the cosecant function?
__________ 4.] Express 175 in radians. Give answer in terms of .
__________ 5.] Express
3
in degrees.
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__________ 6.] If sin  < 0 and tan  >0, in which quadrant does the terminal side of  lie?
Identify the EXACT values of the 6 trig functions for each of the following.
7.] The terminal side of  in standard position passes through (10, 24).
sin 
cos  = ______
tan  = ______
sec  = _____
cot  = ______
8.]    30
sin  = ______
cos  = ______
tan  = ______
csc  = ______
sec  = ______
cot  = ______
= ______
csc  = ______
Determine the EXACT values for the following.
__________ 9.] sin
11
4
__________ 10.] cos 495
__________ 12.] cos 2  273  
__________ 11.] tan (-210)
1
csc  273
2

__________ 13.] tan (3 ) cot (183 )
Use the following information about angle  to find the other trig functions.
7
14.] sin   
and  is in quadrant IV.
25
csc  = ______
__________ 15.] If cos  =
cos  = ______
tan  = ______
sec  = ______
cot  = ______
2
find the EXACT value of sec(  + 2).
5
__________ 16.] Given sin  = 
8
9
find the EXACT value of sin (  ).
__________ 17.] Given cos  =
13
, find sec ( -  ).
17
__________ 18.] Given csc  =
14
and  is in Quadrant III, find the EXACT value of cot  .
9
Calculator allowed problems (Be careful of what MODE you are in!) Round answers to 3 decimal places.
__________ 19.] cot(64245)  ?
__________ 20.] sec
4
 ?
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__________ 21.] Find the arc length s, shown in the figure.
50
7 in
__________22.] If the angle above measured
s
7
, what would be the AREA of the sector?
9
__________ 23.] Find the distance between two cities, one directly north of the other, if one is
located at latitude 60 22 '4" N, the other at latitude 7913' 25" N.
(The radius of the earth is approximately 3960 miles.)
__________ 24.] A bicycle tire has a radius of 1.5 feet. If in 4 seconds, the bicycle travels
400 feet, what is the tires angular speed? What is its linear speed?
__________
Answers
1.
4.
35
36
5.
5
13
13
sec  
5
12
13
7.
13
csc  
12
sin  
9.
cos  
2
2
10. 
24
25
25
sec  
24
cos  
14.
csc   
17.
3. 2
2. Domain: (-∞,∞)
25
7
17
13
18. 
135
2
or 67.5
6. III
12
5
5
cot  
12
2
2
1
2
cos  
3
2
csc   2
sec  
2 3
3
sin  
tan  
8.
11. 
3
3
7
24
24
cot   
7
12. 1
tan   
115
9
19.
15. 
8.497
5
2
22. 59.865 inches 2
23. 1303.222 miles
24.   66.667
rad
sec
16.
  100
ft
sec
 3
3
cot    3
13. 1
20. 5.759
21. 6.109 inches
tan  
8
9