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AMC 3: CUA #2 Review Assignment
NAME: ____________________________
Page 1 of 6
Period ______________
Topic 1: Angle Conversions/Unit Circle
1. Change 100.23 to degrees, minutes, and seconds.
2. Write 2438'42' ' as a decimal to the nearest thousandth of a degree.
3. Change 700 to radian measure in terms of  .
4. Change
27
to degree measure.
4
5. Give the angle measure represented by 2.25 rotations counterclockwise.
6. Identify all coterminal angles between  2 and 2 for the angle

3
3
.
 Tan 1
7. Evaluate tan  Cos 1

2
3


8
.
3
AMC 3: CUA #2 Review Assignment
Page 2 of 6
Topic 2: Coterminal and Reference Angles
8. Determine the quadrant in which the angle lies.
7

a.
b.
5
5
9. Find the reference angle.
7
2
a.
b. 
3
10
c. 
c. 309
11
9
d.  72
10. Use the Law of Sines or Law of Cosines to find the missing side or angles of the given
triangles.
a. A  45, a  83, b  79
b. B  24, a  42, c  6.5
B = _______
A = ________
C = _______
C = ________
c = _______
b = ________
AMC 3: CUA #2 Review Assignment
Page 3 of 6
Topic 3: Right Triangle Trig
11. Find the value of the cosine for  R
12. Find the value of sec for angle  in standard position if the point (-2, -4) lies on its
terminal side.
13. Suppose  is an angle in standard position whose terminal side lies in quadrant III. If
12
sin    , find the value of cot  .
13
AMC 3: CUA #2 Review Assignment
Page 4 of 6
Topic 4: Graphing Sine, Cotangent and Secant
14. Graph the following. Identify the A-value, period, phase shift, vertical shift of each graph.
1
a. y  sin x     1
2
 x
b. y  3 cot  
2
c. y   sec x  1
AMC 3: CUA #2 Review Assignment
Page 5 of 6
Topic 5: Graphing Cosine, Tangent and Cosecant
15. Graph the following. Identify the A-value, period, phase shift, vertical shift of each graph.
 
a. y  2 cos   4
2


b. y  tan  2 x  
2

c. y 
1 

csc x  
2 
2
AMC 3: CUA #2 Review Assignment
Topic 6: Trig Identities
16. Simplify the following.
1  cos 2 
a.
1  cot 2 
b.
Page 6 of 6
csc  tan 
1  tan 2 
c. cot 2 x sec 2 x
Topic 7: Solving Trig Equations
17. Solve the following equations for the indicated values.
a. 2 sin x  2  0 for 0  x  2
b. 4 cos 2 x  3  0 for the principal values
c. tan x  1  0 for 0  x  2 .
Topics to study
Right triangle geometry/trigonometry
Graphs trig functions
Conversions between degree/radian
Simplify Trig Identities
Evaluate Trig functions
Unit circle values (degrees/radians)
Law of sines/cosines
Solving Trig Equations