Pre-Class Problems 1 for Monday, February 4
These are the type of problems that you will be working on in class. These
problems are from Lesson 1.
Solution to Problems on the Pre-Exam.
You can go to the solution for each problem by clicking on the problem letter.
1.
Determine the location of the following angles.
angles, which are given in radians, to degrees.
Do NOT convert the
NOTE: The objective of these problems is to learn where the terminal side of
any angle is located.
45 
a.   210 
b.    325 
c.  
26
2.
d.
 
2
3
g.
 
3
8
j.
   270 
6
17
e.
 
h.
   135 
k.
 
f.
 
i.
 
15 
11

2
Convert the following angles to radians if given in degrees or to degrees if
given in radians.
NOTE: The objective of these problems is to learn how to convert from one
unit of measurement for angles to another unit of measurement.
a.
 
7
12
b.
  
3
4
c.
  185 
d.
   240 
e.
  
22 
15
f.
 
g.
  153 
h.
  3
7
6
Additional problems available in the textbook: Page 457 … 25, 26, 35, 37 – 40, 45
– 51, 55, 56, 71 - 74. Examples 3, 4 and 7 starting on page 450.
Solutions:
1a
1b
1c
1d
1e
1f
1g
1h
1i
1j
1k
2a
2b
2c
2d
2e
2f
2g
2h
Solution to Problems on the Pre-Exam:
1a.
Location of  
Back to Page 1.
4
3
4
3
  
  is in either III or IV since we are rotating
3
3
counterclockwise
4
3
4.5 


  is in III
3
2
3
Answer: III
1b.
Animation of the making of the
Location of   180 
Answer: Negative x-axis
1c.
4
angle.
3
Animation of the making of the 180  angle.
Location of    315 
315   180    is in either II or I since we are rotating clockwise
315   270    is in I
Animation of the making of the  315  angle.
Answer: I
5.
Location of   290 
290   180    is in either III or IV since we are rotating
counterclockwise
290   270    is in IV
Animation of the making of the 290  angle.
Answer: IV
6.
Location of   
11
14
11
14 
  
  is in either IV or III since we are rotating clockwise
14
14
11

7


  is in III
14
2
14
Animation of the making of the 
Answer: III
7a.
 
8
15
 
8  180 
8 60 
8 12 



 96 
=
=
15

5
1
1
1
Answer: 96 
7b.
Animation of the making of this angle.
   165 
   165  
Answer: 
7c.
11
angle.
14



11
=  55 
=  11 
= 
180 
60
12
12
11
12
Animation of the making of this angle.
  4
  4 
Answer:
180 
720 



720 

Animation of the making of this angle.