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**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:

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Argument: Polar Form of a Complex number:

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**Plot the point corresponding to**

in the complex plane and write it in polar form:

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**Plot the point corresponding to**

in the complex plane and write it in rectangular form:

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**Product of complex numbers:**

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

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

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Write in standard form a + bi

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

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

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