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Name:
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Class:
Date: ----
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1st Quarter Review
Precalculus
(J\
V
G
5
If cotO
=
12' find secO. =
'"
~""Ia-; Q..
a
,3
b.
Flnd the values of the six trigonometric functions for a~le (),:;_hen AC
~&
% ':!..,
&.: '-::.
L._
:>
10
~r.
B
10 and B£
= 8.
(.ALe.!~
~e : ~ ~~ ~~ . {
Ia
e
to ~ 'i
.:
=
,- 3
GJt& - ~
c
~
(j) Find the values of the six trigonometric functions for angle (), when PQ = 100 and QR = 240.
~ :J_'to _ \ L
p
e
~
~e
J_ '-<£)
100 I
-
Wi - 16 6k.--& IUo
:.1J;o
I\.
tf.1J1I'\ ~
Q
-,!>s-
\2..
j\)O - -s
2.,!O .!
G If g = 35.4 and F = 34° , find h. Round to the nearest tenth.
1'2-
n
A
!)£0t:1;
_ ~ h
[J!fVrJ
~
s:
~/,,,,
~
H
._h.
(..&2.. 3~-:. 3S,"{
lS'I y ~
0
'3\.f
o
'yt'"' J_'1, 6~1 q
~.:~t.tl~
II
R
d-'iO
~=
_
e
F
ID: A
(.A(.,~
h.
~0
~~-!;.
~~=Q
o
Name:
_
~(i)
ID: A
If t = 30.1 and r = 19, find S. Round to the nearest tenth.
R
~:
ts«
.!!l
30.1
It:: ~\ (~J
s
r
(!)
''lGdj
T
~.:
&,"0. i' S q
IJ ~
SO. 'i e
o
Solve MEC by using the measurements LABC = 90°, LEA C = 40°, and a = 10. Round measures of sides to
the nearest tenth and measures of angles to the nearest degree.
'0
I0
c) _
Ate
~ 50°
;)\()l/O ::
c..~ " \
~oo
Q
\
cb
\
~ ~
c
G
I
-Cu.." 'to
c,=
~
5\,,\\jOCl
-
B
()"~
a
II,).
\~I (0
C
Solve I1PQR by using the measurements LPQR = 90°, LQRP = 80°, and r = 15. Round measures of sides
to the nearest tenth and measures of angles to the nearest degree.
c
1. f>.:: 10
ttA.~
0'
gOO':
la
I
f' z: 2-~
~:
q
r
lS.?
I~
Q
P
o.,d l
R
Change 250.52° to degrees, minutes, a~d seconds.
2500 ~
o
.s z
•
250 -\- \:;
CI
2SC> .,. \ 3
'I
ZSO Q ,~ , J~ "
0
(~')
I ("011) 2
+ \ L.. If
~
1-
II
~
5~1"1 ~Do;: f{..
c.
~u.f\O
.\.-w.J
b
p
"4-w,.~
=
b
~
Name:
_
ID: A
*VtO\
"OJ Write 62° 21' 47" as a decimal to the nearest thousandth.
3.G I.(
Change 3.94 radians to degree measure. Round to the nearest tenth.
17 s"
Change 175° to radian measure in terms of n,
IAI)
1t
Write -
in degrees.
20
,~(I
51t
Write -
in degrees • ~
30
I
eft.
'""'11 s:
_ QO
•
. Jt:.: J\,
3,)" 1f
f¥O
I
30
0
"
Write-21600 in radians .•
JL
IrO
= -I~ r
II
«~ -1. 3'-(
0
.Find one positive and one negative angle coterminal with an angle of 126°. l{
Find one positive and one negative angle coterminal with an angle of 106°.
(it. Find the least positive angle measurement
Find the area of a sector with a central angle of_}.
~4°
V
tenth.
~
Find the least positive angle measurement that is coterminal with -230°.
,,\,"0~
~
Find the exact value of sin
7..-"S'1
Round to the nearest
\3() 0
5;. - ~
1~0
Find the reference angle for 288°. -c
tA..
Suppose is an angle in the standard position whose terminal side is in.Quadr.aH}.£,Iand s~c = -17/8. Find -;
the exact values of the five remaining trigonometric functions of e.
d 1'1 C~( - - ''fir
'{V
e
3""'"
_.Suppose
e is an angle in the standard position
~e-
- -
·/1 1
z J{_
OU!lct:rnt IV and c.ie = -17' Find
Si",,'&· k %~C.~(k' • ~
~:::;
~
whose terminal side is Ip
'1
the exact values of the five remaining trigonometric functions of
"':-\;
'"
e,
CU~.
t-w,6'
=~1
e
~'t
S~
~¥4.
Find the values of the six trigonometric functions of an~~ngl1i.
in standard. position if the point with
·
(10
24)
li
.
.
I
id
SiV\6 : 't',-. ~!>
u.<..tI- 131. 't.
d
coor mates
,
res on Its termma Sl e.
(.o~e~.:n.:h'
S~4'
101')
~z
'"
r-A.
\.J!!!
<iI.
,p.
~
•
cJJ
~
•
Find the values of the six trigonometric function~?
coordinates (5,12) lies on its terminal side,
{.c.",$ :
Find the exact value of sine- 315°) ,;;
'f\
Find the exact value of cos (780°) , ~
sec(15000)
.5€c:.. '£)0-= :;).
csc(7800)
(.f£_ V':>0 :. ~
tan( -1740°)
~
()
i,
<.-0 .:;. 1-
-t(J..~ bO(;):; 13
Find the exact value of Sin( 9: ) .
3
':i4ftt~nif the point with
~;1'a~~~,
in sta~d
r~~:;
~ a{.:-~J,~~
Use the unit circle to find the value of esc (270°). -: _ \
lift!"
II
('"
e
;:,:!.-
\...U ~
I"
-
()
'2.,.
\"\
'ffiO
(I \
0
"'"
~
f.I
...
1(lu,1.)~ (~~ 1t) :. \ 1~.I ~
'{bb
9 () o
a~ a radius of 10.2 millimeters.
IIl\
---
s
that is coterminal with -270°.
J
~
(0
& • J
_f
II
2
ID: A
30. ANS:
sin(-1800)
=0
REF: Lesson 4-3
32. ANS:
-10
REF: Lesson 4-4
33. ANS:
amplitude = 5
.
2n
penod=-
7
phase shift
= ~
7
REF: Lesson 4-4
34. ANS:
y
= 2 cos( ~ x J
REF: Lesson 4-4
35. ANS:
y ~ ±4
Sin( 20 + ~
1t) -
1
REF: Lesson 4-4
4
ID: A
36. ANS:
amplitude'
1.
'7
y
0.5
0.4
0.3
0.2
-{),3
REF: Lesson 4-4
37. ANS:
amplitude: 9
y
~.:9W'2.X
12
10
'i
X
-'CT -9
-1L 0
~ q
~10
-12
REF:
Lesson 4-4
5
~
0
1i
~1
ID: A
38.
ANS:
amplitude
re/i)J ~:
I
= 13; period = 360°; phase shift = 90°
P{,V,\:$ e.
&-(. .(4.-
y
16
J4
x
~1'13
/}~ ::;.-1f
""'1+ '!tl
~~ot1
1-
o~
1'1{-
1T~~t~
~
~ 'tr-t'P
t.
REF: Lesson 4..4
39. ANS:
amplitude = does not exist; period
REF:
z'7i
0
\3
0
..
-'}
1
'2.
~=.l\.q ~~
= 180°; phase shift = -30°
Lesson 4-5
6
t-~)
:S. \ Lrl
."
1I
z
ID: A
40. ANS:
y
J_
I
I
\
I
/
.......
,
J
\
~.
I
'ti
T
X
_ (p1r \It 'A
7"
T
17
- S'\{ - \
T
I
- 'i'ii ,,~
j
I
I)
"1
-1!''-I
,.:) \
~li
REF: Lesson 4-5
41. ANS:
y
0.5
I
0.4
0.3
0.2
I
"'7
I,
It'll
( "'\
,
,
-:-'iT
-1- ~ ~ ..."11
'f~"2 'If _..__.
X
/
I
REF:
l2'~L'T
I
-o.
I
-).11 vP,
,
,
,
,
~
I
I
~.5
Lesson 4-5
\
I
7
~..,~
_,3'iT
'f.':: - (0 rrr
-:'L 1l
Vf\.
~'11
-f
o
I)
II"
I}
i\
-n
't1't
ID: A
y
1
-60
)<
4
I
-:!t(p 'l,fe
1
-1
-2
I
-3
-4
I
S<.,c3y.
~-=
42. ANS:
60
~
I
- 1
REF: Lesson 4-5
-
Jll
~
J. V'r
't
.....1
1.?
r; J.~
{p
I
,
-5
'r -
\
0
'7
o
3".: -fJ.1,
43. ANS:
y
~.;' ~l.
12
10
8
l'f
\
'"i}<'= 0
6
4
0
J""
1-
~
0
,~
-6
-8
1-
-10
-12
'),.'tt
REF: Lesson 4-5
8
....1,
v· r1t
y:~(J
ID: A
~.: 3CA(. ()( ~~)
44. ANS:
y,
\
J ..
,
1""-
\
1\
\7
"-
I
)
)C-
'r
t s: J'1f
I
)'.:=
t
,
I
x
f
,• / \ .
I
"\
I
j
I
J
45.
REF: Lesson 4-5
ANS:
y
4
I
t
,T
,
~" ~~)(
3.5
3
2.5
2
1.5
X
I
'1f
'1
-~0
-2
-2.5
~
t
IJJ
v_ ~
-3
-3.5
-4
1/
REF:
Lesson 4-5
9
0
-s1r
~
i _;"
~
~-t'l'
46.
, ,,__1t
ANS:
,
z_"....
x V
8
- 0
-2
4
~
REF: Lesson 4:)1
47. ANS:
,
'1i
10
8
f
:
270 '540
810 1080
I
I
t (\
,
~.
REF:
ID: A
.
~
Lesson 4-5
10
X~
z.
·/li
\
ID: A
48.
ANS:
~5
5x
o
-'i1
3
{
REF: Lesson 4-6
49. ANS:
_2_
~
__
cS'~
(
( - -,
~
-.2.. _ " '.)1'.
~,_o..~
D...,.
\
Q .
1.t30)'::;-~~1\ U.:~
130
REF: Lesson 4-6
50. ANS:
~
3
11
{)r-
ID: A
A,.'1
I\.
f~1
c,
56. ANS:
~----one solution; c ""4.4; B = 32°; C
= 36°
C.::~"""'l.~~L
62.
12

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