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Section 6.6 – Complex Numbers DeMoivre’s Theorem and n th Roots

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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Section 6.6 – Complex Numbers DeMoivre’s Theorem and n th Roots

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  1. Section 6.6 – Complex NumbersDeMoivre’s Theorem and nth Roots

  2. IMAGINARY NUMBERS and the COMPLEX PLANE Imaginary axis Real Part Imaginary Part Real axis

  3. TRIGONMETRIC FORM of a COMPLEX NUMBER

  4. PRODUCTS and QUOTIENTS of COMPLEX NUMBERS in TRIGONOMETRIC FORM

  5. DeMoirve’s Theorem So, writing the complex number in It’s trigonometric form, we get…

  6. A complex number has n distinct nth roots (i.e. 3 distinct 3rd, or cube, roots, and 5 distinct 5th roots, etc… )

  7. a + bi Imaginary axis 2i i Real axis -i -2i

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