De Moivre's Theorem
Mathematics · JC 2 · Complex Systems: Complex Numbers · Semester 1

De Moivre's Theorem

Students will apply De Moivre's Theorem to find powers and roots of complex numbers.

MOE Syllabus OutcomesSingapore MOE H2 Mathematics Syllabus 9758, Vectors: Understand the concept of a vector in 2 and 3 dimensions as a quantity with magnitude and direction.Singapore MOE H2 Mathematics Syllabus 9758, Vectors: Use notations such as column vectors and i, j, k unit vectors.Singapore MOE H2 Mathematics Syllabus 9758, Vectors: Perform addition and subtraction of vectors and multiplication of a vector by a scalar, and interpret these operations in geometric terms.Singapore MOE H2 Mathematics Syllabus 9758, Vectors: Use the concepts of position vectors, displacement vectors, and calculate the magnitude of a vector.

About This Topic

Students will apply De Moivre's Theorem to find powers and roots of complex numbers.

Key Questions

  1. Explain the utility of De Moivre's Theorem for finding powers of complex numbers.
  2. Analyze the relationship between the nth roots of unity and De Moivre's Theorem.
  3. Construct the nth power of a complex number using De Moivre's Theorem.

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Lesson Plan

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Edited by Adriana Perusin, Editor-in-Chief, Flip Education
Synthesized by Flip Education from Lyman's Think-Pair-Share collaborative-discussion routine (1981)