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This DeMoivre's Theorem and nth Roots: The nth Roots of Unity interactive also includes:
The nth roots of unity all have a magnitude of one. Scholars use the unit circle and DeMoivre's Theorem to find the complex roots of one and discover that the complex numbers all lie on the unit circle and are equally spaced around it based upon the the nth power.
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Concepts
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Instructional Ideas
- Conduct a mini lesson on DeMoivre's Theorem
- Have the class convert the polar form of the complex numbers to standard form
Classroom Considerations
- Access to the interactive requires signing up for a free account
Pros
- Provides hints for problems
- Allows learners to reveal the correct answer
Cons
- None