mhf4u1-assignment_chapter_4_a_-_solutions
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University of Toledo *
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Course
9
Subject
Mathematics
Date
Nov 24, 2024
Type
Pages
7
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S
-~
MHF4U1-CHATER
4A
-ASSIGNMENT
i
<
DATE:_So
\ubions
True/False
-
]
Indicate
whether
the
statement
is
true
or
false.
@
i
1.
The
radian
is
an
alternative
unit
to
the
degree
for
angle
measurement.
l
2.
The
radian
measure
of
an
angle
i$
defined
as
the
length
of
the
arc
that
subtends
the
angle
divided
Q
=
X
by
the
radius
of
the
circle.
i
r
Nz
2
S
¢
3
1
/L
e
N
o
s
-
.
o
i
\|
q
’T
cus[%—x]-smx
C"bflz-"—‘?():s‘\”x
»r
4
Multiple
Choice
Identify
the
choice
that
best
completes
the
statement
or
answers
the
question.
d
5.
The
exact
radian
measure
for
an
angle
of
30°
is
~
a
c.
x
2,
o>
s
=
3
2
e
€
b.
z
d
=
3
6
lz
6.
The
exact
radian
measure
for
an
angle
of
135°
is
e
c
=
(35°
&
_’__[:
2%
4
2
4
b3y
d
=
4
3
Qa3
-
bT
7.
3
of
arevolution
represents
approximately
how
many
radians?
e=a
T
S
a
628
c.
3.77
s
5
b.
3.14
d.
108.00
2n
5
(%
8.
Determine
the
exact
degree
measure
for
5.
1}(,
(g
~
Go°
&
a
72
L
BTt
o
$2
b.
226°
d.
144®
=
(9.
Determine
the
approximate
degree
measure
for
an
angle
of
7
radians.
.
s
as
25.7°
c.
04°
-«
.
e
=
25,
T
—_—
38
7
~
b,
slue
d.
2z.0°
7
i
10.
11.
12.
13.
14.
15;
b.
51.4°
=
;
csc
=
Determine
the
exact value
of
.
a.
1
2
b3
x
.
tan—
Determine
the
exact
value
of
9
8
<=
&
(")
b
.f3
|
cscg
Determine
the
exact value
of
5
a.
2
Ve
b.
2
Determine
the
exact
value
of
3.
a.
2
b
3
sec
2
Determine
the
exact
value
of
3
a.
2
b5
7%
COS
===
Determine
the
exact
value
of
6.
a.
-2
b
3
2
22.0°
ey
NS
Lt
NS
ESTE
olE
w
o
ol
)
=2
e
(
t
Sl
eve
=
R
[2
&
e
8
=
AJ;
=
-
\
/3
-
Jq.\I
~4—
=
S
€
*
I
ad
———‘
-
-
.L-«al;
=
2
-
z
16.
17.
18.
19.
20.
21.
22.
23;
Tn
Determine
the
exact
value
of
6.
:
csc
Determine
the
exact
value
of
LI
%
-~
b3
2
.
5%
=
Determine
the
exact
value
of
3
.
a
—2
b
.3
.
sec
Determine
the
exact value
of
.
agi
=g
b
.f3
S5n
cot=—
Determine
the
exact value
of
3.
a.
1
Wi
b3
Determine
the
exact
value
of
€5¢
X,
a.
0
b.
-1
Determine
the
exact value
of
$&¢
2%,
a.
0
b.
-1
Determine
the
exact value
of
¢0t2%.
a.
0
p
-
Iz
|
~4J3
-5
_x
"
2
Jriss
2
—m
<
il
P
%\
&
L
/
Ci
fi
T
¢
€
e
=
i
7
-
2-
C.
d.
.
undefined
c
d.
|
n
“fi%
Use
+r
7(1
Lo
M2
=
c
_
1
L
i
=
i
tF
T
A
a1
2
CSce
W=
L
=
I
=z
unde
B
|
oy
sinTr
=)
Ay
d.
undefined
c
1
seczw
=
|
=4
d.
undefined
cesam)
|
|
N
|
Au"rwe((
(S
|
Cot?T
2
Tndy
0
e
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24.
b.
-1
d.
undefined
.
b
2
.
s
-
.
F
\
Determine
the
exact
value
of
¢
=
¥
a.
0
-8
(=
1
b.
-1
d.
undefined
:
=
|
D
'43—
=]
sec3
-
o
0
=
ulefoad
2h
e
b
Ql_
25.
Determine
the
exact
value
of
2.
<77
%
=
a.
0
c.
1
b.
-1
d.
undefined
_(}1
26.
Use
your
calculator
to
determine
the
value
of
cos
(~1.71),
to
three
decimal
places.
&
vecels
*
a.
-0.139
c.
0139
b.
1.000
d.
-1.000
L
27.
Use
your
calculator
to
determine
the
value
of
€3¢
0.71,
to
three
decimal
places.
#
r=els
%
a.
0.652
c.
0012
b.
1.534
d.
80.700
sec
=
L
28.
Use
your
calculator
to
determine
the
value
of
11
to
three
decimal
places.
s
vewls
#
a.
-1.189
c.
—0.841
b.
1.002
d.
0.998
cos[
=
X
]
0\_
29.
An
equivalent
trigonometric
expression
for
is
a.
snx
C.
COsX
b.
tanx
d.
none
of
the
above
safx
3
L
30.
An
equivalent
trigonometric
expression
for
is
a.
snx
C.
COSX
b.
tanx
d.
none
of
the
above
o
A
tan[x
+
3]
i
31.
An
equivalent
trigonometric
expression
for
is
a.
tanx
c.
cotx
i
b.
-tanx
d.
none
of
the
above
L
32.
An
equivalent
trigonometric
expression
for
sin(~7)
i
a.
smx
C.
COSX
b.
-snx
d.
-coesx
Completion
Complete
each
statement.
33,
The
angle
formed
at
the
centre
of
the
circle
by
two
radii
is
the
_
(€
V\Sf"‘(
l
angle.
34.
An
angle
with
no
symbol
is
understood
to
be
measured
in
_
00‘
fans
]
35.
cos&
sné
andtan
&
are
known
as
the
D
M%
trigonometric
ratios.
x
003[7
-X]
-
SmX
36.
is
an
example
ofa
_
("
£ugc
Lcw
identity.
Short
Answer
37.
A
child
swings
on
a
playground
swing
set. If
the
length
of
the
swing
is
3
m
and
the
child
swings
x
through
an
angle
of
9,
what
is
the
exact
arc
length
through
which
the
child
travels?
38.
A
bicycle
tire
revolves
at
150
rpm
(revolutions
per
minute).
What
is
its
angular
velocity,
in
radians
per
second,
rounded
to
two
decimal
places?
39.
A
3-m
ladder
is
leaning
against
a
vertical
wall
such
that
the
angle
between
the
ground
and
the
x
ladder
is
.
What
is
the
exact
height
that
the
ladder
reaches
up
the
wall?
.
]
.
SINX
=
COS
¢
-
.
40.
Given
that
5
and
that
x
lies
in
the
first
quadrant,
determine
the
exact
measure
of
angle
%
Problem
.
41.
A
skateboard
ramp
is
built
with
an
incline
angle
of
12
1If
the
base
of
the
ramp
is
1
m
in
length,
determine
the
exact
height
of
the
ramp.
°>%)
3
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(/u/a/
50.‘.7;
q//_}\f/l
an
arc
/a?MCF
o
@
T’fie
bf‘c-{c/{
Jert's
;u;u/af
VC/""IV
e
lr\’.v=
21
ned
\)mfi
LOAVLTS
{80
From
revs
to
e
Unit
ovniersion
frow
min
fo
seco~ds
2T
.
7t
s
Ed
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