Download I \Нr 7

'
Precalculus
-
Chapter 5 Practice Test
Name
On the circle below
the angle measures in degrees (interior boxes) and radians (exterior boxes).
v
1oo
6
-17
t
oupooo
lg0"
o,An
330"
ew"
2.Ír
2
Co
0
the table:
sin 0
exact values
cos 0
tan 0
00
30"
450
600
Ò
\
I2
92
E2
E
7
\Ír
o
vz
-3
.-:?
\
-L
{5
900
Ò
CN Precalculus
-
Chapter 5 Practice
\^"^Å.çt^"å
2012-13
For I -
6, indicate the letter next to the graph
a.
for the appropriate function.
b.
v
r
-l
1. f(x) =.o1 *
c.
2rx
7f
-l
AI
d.
e.y
v
f.y
f(x) = sin
3.
f(x) = sec x
4.
f(x) = cos
ô
x L-
5.
f(x) = csc
f\,
x L.
6.
f(x) = 1"o
i\
2tx
x
x û'
2.
tf
-1
t
I
7.
Identify the reference angle d of-
8.
Find the arc length s shown in the figure (the larger angle).
54o.
o
5
7
8. 31 ,l
IL
(round to 2 decimal places)
530
9- The point ( 6, - 3 ) is on the terminal side of an angle, 0 (see figure
below). Find the following:
6
9.
a) sin 0
+
(exact value)
a)
-3
(6,
-
3)
b)
c)
15
{
-----:-':
,4,J5
CN Precalculus
-
Chapter 5 practice
sin 0
L{Ç
cos 0
tan 0
ø
c.
{ç
2,f+
b)
cos 0
(exact value)
c)
tan
0
(exact value)
vz
VCs
2012-t3
10.
( å * tt0" ) -
Given
y-
a)
Amplitude
a)
b)
Period
b)
+*
c)
Domain
c)
(-
d)
Range
-3slr,*
10.
t,findrhefoltowing:
3
1TDo
O[-(
æ
-
\
-+]
É,r,
b
11.
Øl
11
Using the right triangle, find the exact value
sec d.
9
4
0
2
13
Find the exact value of csc
12.
2
Find the distance between the two cities given the following latitudes.
Assume the radius of the earth is 6371 kilometers.
Ilammerfest, Norway
Athens, Greece
14.
11.
3
13.
(round to nearest kilometer)
700 3g North
370 5g North
Find the exact value of the six trigonometric functions of 0 = 315"
14.
sin 0
,lZ
-7
\ø-
cos 0
2-
tan 0
csc 0
CN Precalculus
-
Chapter 5 practice
sec
0
utp
-l-2
Y /--
tI
2012-t3
cot 0
The radii of the sprocket assemblies and the wheel of a bicycle are
9 inches,3 inches, and 15 inches, respectively. If the cyclist is
pedaling at a rate of I revolution per second, find the speed of the
bicycle in feet per second.
15.
I
(round to the ne¡rest tenth)
,,{
H
J
(Not drawn to scale)
16.
Find the exact value
17.
Find the exact value of cot 0 given:
CN Precalculus
-
of
Chapter 5 practice
sin 30"
i
tan 45ô
cosO
=
+
-+
cos 120"
+
sin 270"
r0inquadrantllf.
IÁ
17
2012-t3
10.
Given
y - -3sin (I
a)
Amplitude
b)
Period
c)
Domain
d) Range
11.
+ 180'
10.
) -t,findthefoltowing:
3
a)
w@
rf"fr
2j\
öß.. "(>
d
b)
3øo
( -cê/-
c)
Cto lZ _1
ü
ffi&
11
Using the right triangle, fînd the exact value
)
sec 9.
9
4
(ø-ç
ñç
2.
13
Find the exact value of csc
Find the distance between the two cities given the following latitudes.
Assume the radius of the earth is 6371 kilometers.
Hammerfest, Norway
Athens, Greece
14.
I7
f.
Ç37
13.
(round to nearest kilometer)
70o 38'North
37o 58r North
Find the exact value of the six trigonometric functions of 0 = 315"
14.
sin 0
cos
0
tan 0
{--z
Z
VL
-=
t
csc 0
CN Precalculus
-
Chapter 5 practice
sec 0
cot+
,17
2012-t3
cot 0
The radii of the sprocket assemblies and the wheel of a bicycle are
9 inches,3 inches, and 15 inches, respectively. If tþpcyclist is
pedaling tt a rate of I revolution per second, find the speed of the
bicycle in feet per second.
15.
l5 'T
a
(round to the nearest
3 ( rv)C:*)
| ?-'
H
3u
(Not drawn to scale)
16.
17.
Find the exact value of
sin 30o
t
X'ind the exact value of cot 0 given:
*
tan 45ô
+-
+
cos 120"
+
t çk!)
coso
=
-45
sin 270"
16.
-(
il
,0 in quadrant
III.
17
-2.
5
a
CN Precalculus
-
Chapter 5 practice
20t2-13