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:

Argument: Polar Form of a Complex number:

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

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

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

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

Write in standard form a + bi

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

Assignment: page 606: 1 – 11, 16, 19, 23, 27, 33, 41, 43, 53, 57