MI 4 Complex Quiz
Name __________________________
You may use a TI-30 calculator on this exam.
1. Let a  2cis40 and b  cis(50) . Find the following. State your answers in polar form.
a) a 3
b) a 4 ·b 4
a3
c) 2
b
2. One of the solutions to the equation z 2  6 z  25  0 is 3  4i . With this information, graph
all of the roots of z 2  6 z  25  0 on the grid below.
3. Find a complex number that you can multiply z with so that z gets rotated 60 degrees
clockwise, if z  2 cis(20 ) . Give your answer in rectangular form.
MI 4 Complex Quiz
4. Solve for z: 1  i  z  z 
2i
2i
5. Solve the equation z 5  16  16 3i . Leave your answers in cis form.