Chapter 11 practice test.
Name___________________________
1) Plot each point in polar coordinates. Then name two
other points one a positive value for r and one a negative value for r.
2) Change the following rectangular coordinates to polar
coordinates where 0 is in degrees.
3) Change the following rectangular point to polar form where
0 is in radians.
4) Change the following polar points to rectangular coordinates.
a) (7, 240o)
b) ( 3, 142o)
5) Using your graphing calculator reproduce the following
graphs.
a) r = -5sin 0
b) r = 4 cos 0
c) r = 3 - 2 cos 0
d) r = 2 + 3 sin 0
e) r = 3cos 30
f) r = 5 sin 40
g) r = 20
6) Express 3 + 2i in polar form.
7) Express 5 cis 320o in rectangular form.
8) If z1 = 3 + 5i and z2 = 5 + 6i
find the product:
a) in cis form
b) change to rectangular form
c) draw an argand diagram for z1, z2,
and z1z2.
9) Give the polar form for ( 3 cis 60o)2
10) let z = 1 + i.
11) Find the 3 cubed roots of 1. That's right. One has 3
cubed roots. Amazing.
Answers and how they are worked out will be
posted in a couple of days. This test is a little longer than the actual
one, but is representative of an actual test. Questions have been changed
to protect the innocent. I seem to remember that phrase from some old tv
show. Trivia question. Which show?
Hope this test will be helpful in preparing
you for your opportunity. Next postings will be for chapter 13. Arithmetic
and Geometric Sequences.
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