Quiz 10, Math 1060—003
December 6, 2013
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You have 20 minutes to complete this quiz.
No calculators, notes, books, etc. are allowed.
You may work with one other person.
Show your work, and box/circle your final answers.
’
1
I71U
Name:
1
iNID:
Note: First page is worth 10 points, second is worth 6 points.
1. (2 points) i
=
2
2. (4 points) Let z = 1 + i. What is the modulus of z (denoted r
or
argument of z (denoted 0 orArgz)?
2
‘
What is the
( )
3. (2 points) Let z be a complex number with modulus jzj
Express z in trigonometric form.
2
Izi)?
=
2 and argument Argz
=
2 (co.s
4. (2 points) Let z
“a + hi”).
=
2(cos
+ I sin D. Express z is standard form (i.e. write it in the form
z(- 1
-j.’
)
-
900
105°
75°
60°
1200
450
135°
300
1500
150
165°
00
345°
195°
3300
210°
315°
225°
300°
240°
255°
270°
285°
dinates. Plot A on the graph.
5. (4 points) Consider a point A = (—5, ) given in polar coor
work.)
Convert A from polar to rectangular coordinates. (Show your
-5ccs
(-5
q-
/
4
/
2-
t B. Use degrees for the angle.
6. (2 points) Determine the polar coordinates of the poin
5, oo)
tes the point B, using radians for the
7. Extra credit (2 points): Rewrite the polar coordina of
angle.
5r
I5
TC
—
IOb
‘10
-It:
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