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NSW Y12 Maths Standard 1 NSW Y12 Maths Standard 2 NSW Y12 Maths Advanced NSW Y12 Maths Extension 1 NSW Y12 Maths Extension 2

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Complex Numbers Proof Further Work With Vectors Integration Mechanics

NSW Y12 Maths - Extension 2 Complex Numbers De Moivre’s Theorem

Resources for De Moivre’s Theorem

  • Questions

    8

    With Worked Solution
    Click Here
  • Video Tutorials

    1


    Click Here
  • HSC Questions

    10

    With Worked Solution
    Click Here

De Moivre’s Theorem Theory

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Videos

Videos relating to De Moivre’s Theorem.

  • De Moivres Theorem - Video - De Moivre’s Theorem

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Syllabus Reference

NSW Syllabus Reference: MEX-N2.1: Solving Equations with Complex Numbers

This NSW syllabus reference for De Moivre’s Theorem focuses on

  • Use De Moivre’s theorem with complex numbers in both polar and exponential form. This leads to
    • Prove De Moivre’s theorem for integral powers using proof by induction
    • Use De Moivre’s theorem to derive trigonometric identities such as \(\sin⁡3\theta=3 \cos^2⁡\theta\sin\theta-\sin^3⁡\theta\)

Ref: https://educationstandards.nsw.edu.au/

NSW - Year 12 Extension 2 Maths - Coursebook (eBook)