Unit 12 Review - KEY - Warren County Schools

PaOjful
A2 - Unit
3. The screen below shows the graph of a sound recorded on an oscilloscope. What are the period and the
Tigonometry
12 ReviewtJPrij
amplitude? (Each unit on the ^axis equals 0,01 seconds.)
Quiz Information:
* Your quiz is worth 50 points.
* It mil consist of 25 multiple choice questions.
* The review questions will be a good indicator of the types of questions that you will see onyour quiz,
* This review is worth 10 points and is due on the day of your quiz.
Determine whether the function is periodic. If it is, find the period.
1
a AJiMA^
-r,
Find the measure of the angle.
y
"v
X
^
1
j
ͣ/ I j
/ ': \ \
i—\___'
/
.......|-2
l\/ort p&riodio
L/T "1"
---; 2
-fi
A
'\-l\-\......
^
.J
^
^^ammm^i^nevimmri migiun it, iml rnjpmnfftf.
ill
:
> f
1
'
1
ZSO
7. Find the radian measure of an angle of 110".
8. Find the degree measuie of an angle of 3—
radians.
(5) mdians-- llo\ % nit(iiH>,
J^-^
?.
y
lir,cJ: ^=f
&>
Name:
Tse the graph of >' = sin 6 to Tind the value of sia B br cack valm of ft
9.
"^ '
-
OI
O^^r
IC^'iOa!
270°
" What is the graph of one cycle of a sine
^—
^
Ojf^ curve with the given characteristics?
~'£• Mir form i
"ͣ
a
14.
Using
amplitude = 3
—jr. and o > 0
i iii'r ailinli ii .......nnHiilii ^i
2. "-e sine curve?
/Tt"!^ 5JITi V^^
1
Sketch oiwcy3e''onhe sine curve.
^
15, >' = -3sin48
= 4, period = —-jt, ant^ < 0
16. ^ = tan (-26)
JC*.
Graph the function in the interval from 0 to 2a.
tSiV)<^7c?
'^-"^
17
y - cos(0) + ! Scc.
p^laC «»
Find the value of x. Round to the nearest degree.
10.
—JT radians
4
^j^^^ralfW
Cos X= i=
Not drawn to scale
Not drawn to scale
Find the value of x to the nearest degree.
11.
I
20. 20 _^ff
Find the period of the graph shown below
_
2o
TmX-73
Not drawn to scale
3
Find the value of a:. Round the length to the nearest tentlT
21.
12.
11.
A particular sound wave can be graphed using the
function y " -3 sin x. Find the period of the
function. "^ gfi/
Not drawn to scale
Not drawn to scale
X
Sm ^-i =35
Pail« C'
^.
T'
ID: A
Name:
ID! A
Name:
24. The line of sight from a small boat to the light at
the top of a 55-foot lighthouse built on a cliff 30
feet above the water makes 3 3 3" angle with the
23.
water. To the nearest foot, how far is th^ -^^^
from the cliff?
12 cm
Not drawn to scale
f^j^'
4aA33=^
x4ari33^5S \,.
63 mm
flff
A
Drawing is not tn scale. CL
What is the area of tABC to the nearest tenth of a square meter?
'J
63
mm
C
Use the Law of Sines to find the missing side of the triangle.
27.
Fmdi.
(^^h^^S'un/^
/lre^'-i(^Xs^)s,;3^
(Z^TU^
28.
Find the measure of 6, given m/^ =64", mZ^ = 32'', anda= ͣ
3c
"
^
srrr&¥
b:^a/,;i wirh)
T
Name:
Find the period and the amplitude of tbe
Use the Law or Cosines to find the missing angle.
29.
ID: A
Name:
BhA
_____________________
f
periodic function.
Find m/-A to the nearest tenth of a degree.
M'tn--5 > Sofa
^Sr "--SI '^- 65 ^ = -o2 CS/)(('5) COS A ^
^'^-tl^.r/oi^^HD
Sketch the angle in standard position.
Use the given graph.
Determine the period of the function.
W^b^^
^-'^3^
32. 15°
33. -295"
Se^ fXL^e.'J
Sketch one cycle of the cosine function,
39.
34. Find the measure of an angle between 0° and 360**
position,
tf\ 2*
interval from 0 to 2k.
Find the radian measure of an angle of 3 3 0°.
40,
36, Find the degree measure of an angle of —2 radians.
37, Find the amplitude of the sine curve shown
below.
t^
Xi
38.
A particular sound wave can be graphed using the
function >» « -9 sin Bx. Find the amplitude of
the
fimction.
•
it
S^c^ p«^c^
Sketch the graplCttf the tangent curve in the
cotenninai with an angle of-258° in standard
3 5.
y=3 cos 28
>'=tan—0
IL5A2 - Unit 12 Review - Trigonometry
Answer Section
SHORT ANSWER
2.
periodic; about 6
not periodic
3.
0.05 seconds; 4.5
4.
280°
5.
120°
1.
5i
7
\\n
18
8.
-240°
9.
-1
0.
0.7
1,
— K
2
3
2.
period -In
y = -4 sin 40
13.
-T
2:!r
>' = 3 sin 46
14.
O
2^
ID: A
-"-f ~J1S^
-^^^S^^^^^^^^^w^B
ID: A
15.
16.
17.
18. 37
19. 26
20. 57
21. 15.4m
22. 10.4 ft
23. 4.4 cm
24. 130 feet
paju fc
25.
876.8 m2
26.
1,783.7 mm2
27.
68.5
28.
21.2
29.
43.6°
30.
4
31.
4;-5
32.
33.
34. 102°
35. llil
6
36. 90°
37. 2
3 8.
amplitude = 9
iJ 1
ID: A
ID: A
39.
40.
rW^

Download Report