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Section 6.6 – Complex Numbers DeMoivre’s Theorem and n th Roots PowerPoint Presentation
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Section 6.6 – Complex Numbers DeMoivre’s Theorem and n th Roots. IMAGINARY NUMBERS and the COMPLEX PLANE. Imaginary axis. Real Part. Imaginary Part. Real axis. TRIGONMETRIC FORM of a COMPLEX NUMBER. PRODUCTS and QUOTIENTS of COMPLEX NUMBERS in TRIGONOMETRIC FORM. DeMoirve’s Theorem.

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IMAGINARY NUMBERS and the COMPLEX PLANE

Imaginary axis

Real Part

Imaginary Part

Real axis

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DeMoirve’s Theorem

So, writing the complex number in

It’s trigonometric form, we get…

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A complex number has n distinct nth roots

(i.e. 3 distinct 3rd, or cube, roots, and 5 distinct 5th roots, etc… )

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a + bi

Imaginary axis

2i

i

Real axis

-i

-2i