MI 4 Complex Quiz
Name __________________________
You may use a TI-30 calculator on this exam.
1. Let z1  2cis40 and z2  3cis10 . Find the following. State your answers in polar form.
a) z12
b) z12 ·z2 3
c)
z1
 z2 
4
2. One of the solutions to the equation z 4  a is 3  4i . With this information, graph all four
roots 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 
1 2i

2 2i
 3 1 
 i  . Leave your answers in cis form.
5. Solve the equation z 4  81
 2 2 