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Advanced Precalculus Notes 8.3 The Complex Plane: De Moivre’s TheoremAbsolute 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 toin the complex plane and write it in polar form:
Plot the point corresponding toin 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
Ex: Solve x 2 + 6x +10 = 0 a = b = c = 1 st 2 nd.
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