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Advanced Precalculus Notes 8.3 The Complex Plane: De Moivres Theorem Absolute value of a number: distance from zero (origin) Complex number: z = a + bi.

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Presentation on theme: "Advanced Precalculus Notes 8.3 The Complex Plane: De Moivres Theorem Absolute value of a number: distance from zero (origin) Complex number: z = a + bi."— Presentation transcript:

1 Advanced Precalculus Notes 8.3 The Complex Plane: De Moivres 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) zwb)

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


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