Practice Exam 1
-
Chapter 4
N ailie:
Instructions:
C jve yourself 50 iniiiutes to complete this practice exam.
Justify each answer
Record our answer in the aiiswer fields.
Each answer has equa.l weight.
.Tc
5
i.
10.
-.
2.
11.
FT
UI
3.
4.JV
C:,
13.
—5
5.
14.
f3
—
6.
)
15.
-1
7.
16.
-5
17.
c)
9.
19. Pcrn)d
1.
4
&iriplitude
iao° O0
3
20.
sin(0)
taii(0)
cos(0)
C
•
•V
-it
•
2ir
it
•
—2ir
i
.
2ir
—it
r2it1
it
I
2ir
/
--1
cot(0)
sec(0)
csc (0)
\
C
I
I
•
2ir
—2ir
2ir
—itt
r
2ir
arceos(O)
ar Ct an (0)
it.
it-
2
-1
1/2
1
—1
—[/2
1/2
2
-it
2it
H
21
arcsin(O)
V.
-it
-
/
JL
it
1’
+o
SOp=()j
.
7r
9
1
1. Suppose (9
—
5
and one negative.
radians. Find two eoteriniiial angles, one positive
NJ: G
b):
or
iT
G°
-T
32
(9>o,
2. Suppose 0
3ir
=
——
ir)
9’Q
C2
tr
?7r...
I
radians. Convert the angle to degrees.
-
--9--
8
rç
sqo
-
x
w
i
T
U
z
-
3. A disc with radius 3 cm spins 40 revolutions per minute. Give the
angular speed in radians per minute and the linear speed in cm per
minute.
1JC\f
Se
‘O-•
10
L
Ccc{iw’,
32”
(Cv9Ikt’l
r.)
C
Cfr&
fcJ
j4’14
For #4
to i.
Use the pi(tlUC i)C1OW.
1’
0
I
—5
What are the values for t.he six trigonometric functions for this 0.
4. sin(O)
=
5. cos(0)
=
6. tan(0)
=
7. csc(0)
-
1
J/
=
/t5
8. sec(0)
.L5/
9.
cot(0)
For #10 to #14, suppose tan(0)
What
are the
*
c’C
=
other five
=
and siii(0) > 0.
trigonometric fimetion values for
this 0?
=
10. sin(0)
9
11. cos(0)
=
12.
=
csc(0)
14. cot(0)
=
CuAL
n
13
l’
13. sec(0)
(
(
I
c
IJ L
S
3
--
5. Suppose that 0
=
215°. What number
O1A
‘3
iS the refereiice angle in
degrees’?
-
16. In which of the four quadrants does 9 lie when sin(O) < 0 and
tan(O) <0’?
1
÷
)
1
17. Suppose cos(O)
0° and 360°?
c-
I
c
2
What are two different numbers for 8 between
co(€)
t
*:
(3,—
(:3’
I-’
vJtW
=
C-t
18. What is the exact, value of
cot
/
I arcsin
3
\
1’?
(3::
I’()
(3:
I6oc
(O
19. Find the period, amplitude, audi phase of the function /(x)
a sin
=
(bx + c)
graphed below.
3
I
7er’cz
—
/1
-
C
h
20. Sketch a graph of sin, cos, tan, csc, see, cot.
aretan.
21. Sketch a graph of arcsin, arccos.
22. Sketch a graph t&
f(O)
=
3 cos
(o +
cr
2
/
I
2
I
I
—ir
2
/
1
I
I
2
2
—1
_0
--1
I
I
—
‘it
2
I
2’ir