Exploiting the Connection to Trigonometry 1

Class members use the powers of multiplication in the 19th installment of the 32-part unit has individuals to utilize what they know about the multiplication of complex numbers to calculate the integral powers of a complex number. Groups work through a series of problems and determine DeMoivre’s formula that uses the polar form to quickly calculate powers.

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CCSS: Designed
Instructional Ideas

  • Conduct a mini-review of binomial expansions beyond cubics
Classroom Considerations

  • The class should be familiar with changing complex numbers from rectangular form to polar form and vice versa
  • Provide a unit circle with critical trigonometric function values labeled on it for struggling pupils
Pros

  • The answer key for the problem set shows all the steps of the calculations students should show
  • The teacher notes include anticipated pupil responses to the discussion questions
Cons

  • None