Name:
Chapter 13
ID: A
Date:
Class:
Algebra 2
Multiple Choice
Identify the letter of the choice that best completes the statement or answers the question.
Determine whether the function shown below is or is not periodic. If it is, find the period.
1.
a.
periodic; about 3
c.
periodic; about 1 —
b.
not periodic
d.
periodic; about 2
c.
90°
2. Find the measure of the angle below.
a.
110°
b.
250°
d.
210°
3. Find the measure of an angle between 0° and 360° coterminal with an angle of-110° in standard position,
a. 250°
b. 20°
c. 110°
d. 70°
*.
4. In which quadrant does the terminal side of a 118° angle lie?
a. third quadrant
c. first quadrant
b. second quadrant
d. fourth quadrant
ID: A
Name:
Write the measure in radians. Express the answer in terms of 71.
5. 320°
9*
a.
c.
16
16
16*
Write the measure in degrees.
, 3* ,.
6. — radians
a.
b.
108*°
n
c
c.
300
d.
108°
7. Write the equation for the sine function shown below,
'y
Q
A
A
/
-A
a.
b.
y = sm&
y = sin 3^
c.
d.
7 = -1 sin 69
v = -1 sin 3(9
Write a cosine function for the graph.
a.
y = -2-> cos —
b.
= 2 cos 3#
/a
C.
d.
= 2 COS —
y = -2 cos 3(9
1.88°
ID: A
Name:
Short Answer
9. Use the graph of the sine function y = 2 sinjc shown below.
2
O
a. How many cycles occur in the graph?
b. Find the period of the graph.
c. Find the amplitude of the graph.
10. a. Sketch at least one cycle of a sine curve with amplitude 1 and period of 4;r. Assume a > 0.
b. Write an equation for the graph.
11. Use a graphing calculator to solve the equation -3 cos x - 1 in the interval from 0 to IK. Round to the
nearest hundredth.
x=
Graph the function in the interval from 0 to iTf.
12. y = 4 cos Amp =
Per =
QW =
Ref=
CL =
PS =
ID: A
Name:
13. Graph the function in the interval from 0 to IK. y = 2 cos | x - — \ +2
Amp =
Per =
QW =
Ref =
CL =
PS =
14. Sketch the graph of the tangent curve y = tan 2x in the interval from 0 to In.
Amp =
Per =
QW =
Ref =
CL =
PS =
Asy =
Sketch the angle in standard position.
15. -150°
16. Find the exact value of cos 300° and sin 300°.
cos 300° =
sin 300° =
17. Find the cosine and sine of 240°. Round your answers to the nearest hundredth if necessary,
cos 240° =
sin 240° =
ID: A
Name:
Use the graph to find the value of y = sin ftfor the value of ft
1
18. —;r radians
1
sin — 71 =
4
4
1
l>n
2
fa
0
19. Find the period of the graph shown below.
Period =
Essay
20. Find the measure of 225° in radians. Explain how you found the measure.
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