PRECALCULUS
SPRING SEMESTER EXAM REVIEW 2017
NAME:
-----'l_(_E___,_Y________ DATE:
----- PERIOD: --
CIRCLE FINAL ANSWERS!
+.•
1. Give the polar form of each complex number: a) 2-2i b) -4- 4/ii
o.)
{<-
.
= ��-=.
r;.. ��
"'
r� y'(.Z)"+(-'1.)'" .,_ Y4·H{ :: Yi :.,z.fi.
i.)-1- (' -:: (-4� � (-LCii)
o • • 3 �
0 -HIO
+" s ·" IS" !J -\ t-�t'-' .,, r, ,to.,,-- ' (j : foO" Q 3 .;,• l.1.!c.w•
h,......-· {= -- Lf {·
?:(i ( c.o s 3 1 r
G.. \.ff : i.e.., -4s-� i,.r \� ( c.a.s l-'-.\0° + t.' s:"' l-Y�
l�
T � co
'1f -;.
1
°
°
°
2. Write each complex number in rectangular form: a) 5 ( cos270° + i sin270 ) b) 4 ( cos 150 + i sin 150 )
o.)
+-
c- •> '°)
'°) 4 ( _
• & ,: )
q_
-\ -; � )
-> • � �
'½,:
3. Simplify: a) ( 5+ 3i)-( 4-6i)
�,
�
+
•E ).13
T .i
.:j
�-=- ;_
c)
(pl
_
fis
tfis.3
-:. � �) 3
:::. 5"�
V3
f) ( 7-8i)+(9-10i)
,--g�r'l-tol
(,eo-,�q
4. If z = l 5 ( cos 40° + i sin 40° ) and w = 3 ( cos20° + i sin20° ), find a) zw and b)
polar form.
a.\
'"
�s:,.(tloti.o\]
:iw-:. ,s.;
=- 4 �(<-os {?o f- � s: ""o)
r.
5. Simplify: [2 ( cos 15° + i sin 15° )
,r.E . "" �.,.
l,.
I.,
�!½J
6. Find the ordered pair that represents the vector from A(-6,8) to B(-3,10) .
<-1--<.o j \0- -�)>
r(5,
.t?J
Leave answers in
7
., ( '10 _20,� -t- ��[-/
"-\. </d-20)�
-=- ',(co� lot- C: s:" lo)
(o\·,�
��, �
Put answer in rectangular form.
l '-I ( ( 0 S ( Ll · / �) � t S : ... (� · J �))
°
"" J<,(los <qo"+, s: "b0 � ,i.
-..... l (o ( ..l-� >r- � l ) -: -z +
-=.
(!f)
�
%·
c.c, c