1 / 10

6.6 Day 1

Goal: Represent complex numbers in the complex plane a nd write them in trigonometric form. 6.6 Day 1. De Moivre’s Theorem and n th Roots. What you’ll learn about. The Complex Plane (Day 1) Trigonometric Form of Complex Numbers (Day 1)

korbin
Download Presentation

6.6 Day 1

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Goal: Represent complex numbers in the complex plane and write them in trigonometric form. 6.6 Day 1 De Moivre’s Theorem and nth Roots

  2. What you’ll learn about • The Complex Plane (Day 1) • Trigonometric Form of Complex Numbers (Day 1) • Multiplication and Division of Complex Numbers (Day 2) • Powers of Complex Numbers (Day 3) • Roots of Complex Numbers (Day 3) … and why The material extends your equation-solving technique to include equations of the form zn = c, n is an integer and c is a complex number.

  3. Plotting Complex Numbers

  4. Plot the following complex numbers and state the absolute value of the number.

  5. Which complex number corresponds to each point plotted below?

  6. x = y = r = =

  7. Convert 3 + 3ito the following forms… • Rectangular: • Polar: • Trigonometric:

  8. Convert (5, 12) to the following forms… • Complex: • Polar: • Trigonometric:

  9. Convert [4, ] to the following forms… • Trigonometric: • Rectangular: • Complex:

  10. Convert to the following forms… • Polar: • Complex: • Rectangular:

More Related