Exploiting the Connection to Trigonometry 1

This Exploiting the Connection to Trigonometry 1 lesson plan also includes:

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.

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

• None