Download KEY - Warren County Schools

Date:
Name;
Teacher:
Class/Period:
5) An angle. A, in standard position on the unit circle,
has its terminal side in Quadrant Hi. if tan A= -. if
what is sin A 7
1) The radius of circle O is 15 m. Two radii, OA and
OB , form an angle of 80°/ro the nearest tenth of a
meter, how long is chord AB ?
___
^
A.
]j\M'> O V COSt^S
:^ i5*^-l5*''20!^S)6>s
A. 14.8
B. 15.0
i^9M^I^3
C. 19.3
D. 21.2
2) In this unit circle where 6>is the angle formed by the
6) Which Is the radian equivalent to three and onequarter revolutions ciocl<wise?
X-axis and OP, what is another way to write the
coordinates of P ?
>-x
7) Where do the minimum values of y= sin x occur on
[-2;r, 24 ?
(cos 9, sin
/a. -i and^ _ .
L
2
2^ so/c you.
^
B. (sin e, cos
t
C. (cot e, tan 61)
D. (tan e,co\ff)
C. -«^and ;r Inak. oJt ^"^- ValueS^ )34Tl»^<h
D. -2.and 2.
^^^ ^yr, Uohc^OCCuyf <L 4^
8) What is the equation for the asymptote of
|) +I on the interval [0,ff] ?
y = tan(^-f).t.
3) In this figure.
Points A, B, and C are on the unit circle.
m^AOB =6
mzSOC= a
What is the distance, in coordinate units, from
>Ato C?
-values
9) Which best describes the rang
graph of the
relation y = /^x) ?
-Sin^)
A. ͣ^(cos6 + cosa)' + (sin6' + slnaf
B. ^(oose-cosa)^-(sine + sinaf
f^C'T^ose-as-fi' ^j^5/;i«^
C. A/(cose-cosa) +(sin6' + sina)^
&
A. -1 < X S 2
B. -1
<x< 1 2"' ••'
' .*. l^
"J
2 ~
"
D. ^(cos6i,+ cosa:)^ + (sin6i-sina)^
A. Amplitude is^^g^jaeriod is 2 ^
C. Amplitude is 2; period is An
D. Amplitude is 2; period is 2
\
V
C. -1 <y <2
4) What are the amplitude and period of y = 2 cos x ?
^B. Amplitude is 2; period Is 2n\ (\^ 2,
*-x
0~ I
10) In MBC, mZ/<(CB = 48°, >^C=17ft, and CB= 10 ft.
Taitienearest tenth of a foot, what is /\S ?
T
'0
14) The illustration shows part of the graph of
y= I sinf-^j + i in the xy-plane. What is the
11) Jennifer and Robbie stand 50 ft apart on opposite
sides of a statue. The angle of elevation from
period of the function?
Jennifer's feet to the top of the statue is 46°, while
the angle of elevation from Robbie's feet to the top
of the statue is 52°. How tall, to the nearest tenth of
a foot, is the statue?
2.5-
5o
5?
(Note: Assume the statue and both people stand on
level ground.) AJC vo*
A. 22.4 /W\
B. 25.9
28.6
^l^C-*^^
1.0-
^.n ^2.
3t'3'»-
f
0.5-
-0.5-
12) Alyssa created the function shown by restricting the domain of a periodic function.
15) From Kyle's boat, a well-known lighthouse is
2.0 miles due north. From Thea's boat, the same
lighthouse Is 2.5 miles at a heading 45 degrees
east of south. To the nearest tenth of a mlTe, how
far apart are the two boats?
*»x
A. What was the period of the original function? Show your work, and explain how
you found your answer. '^
B. What is the amplitude of the graph of the function? Show your work, and explain
how you found your answer. Si—^
X = (S.S-)+i'"-2(i.^4«»/35..^.^
2.0
Kyle
C What is the domain of the graphed fuQction? Explain how you found your
A. 3.2
D What is the range of the graphed function? Explain how you found your answer.
13) What is the amplitude of the function ' /
f(x) = 2 sin(6x + 5) - 7, where X is measured in -.....—
radian^
C. 6
16) A local sports dome is fashioned in the shape of a
hemisphere. A 12-m tall supporting post, reaching
from the ground to the skin of the hemisphere, is
set 35 m from the dome's center point, and a rope
runs from the top of the post to the nearest point
D. -7
nearest 0.001, what is the cosine of the angle the
cZ^\/kithJij^
where the hemisphere touches the ground. To the
kes with the floor of the dome?
sA. 0.164,
B. 0.167
C. 0.324
Vofc-ilt-ta^
D. 0.946