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.

a) (5, 75^{o})
b) (4, 3p/4)

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, 240^{o})
b) ( 3, 142^{o})

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 3~~0~~

f) r = 5 sin 4~~0~~

g) r = 2~~0~~

6) Express 3 + 2i in polar form.
7) Express 5 cis 320^{o} in rectangular form.

8) If z_{1} = 3 + 5i and z_{2} = 5 + 6i
find the product:

a) in cis form
b) change to rectangular form

c) draw an argand diagram for z_{1}, z_{2},
and z_{1}z_{2}.

9) Give the polar form for ( 3 cis 60^{o})^{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.*

**Let me see the answers, I have worked on these
guys forever: hit ---> **Answers
this way
Man, I need some more help before I check them, send
me back to study ----> Need
more help