1. Advanced Precalculus Notes 8.3 The Complex Plane: De Moivre’s Theorem
Absolute value of a number: distance from zero (origin) Complex number: z = a + bi Conjugate: = a - bi Magnitude or modulus:

2. Argument:
Polar Form of a Complex number:

3. Plot the point corresponding to
in the complex plane and write it in polar form:

4. Plot the point corresponding to
in the complex plane and write it in rectangular form:

5. Product of complex numbers:
Quotient of complex numbers:
Given: and
find: a) zw b)

6. DeMoivre’s Theorem:
Write in standard form a + bi

7. Write
in standard form a + bi

8. Complex Roots:
Find the complex cube roots of:
in polar form and standard form

9. Assignment:
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