lesson
Euler's Formula and de Moivre's Theorem: Connection
Understand how de Moivre's theorem follows from Euler's identity and move between the two approaches
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Exponential Form and Trigonometric Identities
4 lessons
Goal
Understand the derivation of Euler's identity and use exponential form to derive trigonometric identities and compound angle formulae.
4 lessons
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- Euler's Formula and de Moivre's Theorem: ConnectionYou are here
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Learning standards covered
FM-B8General Certificate of Education Advanced Level (UK A-Level) · Further-maths · 11th GradeUnderstand de Moivre’s theorem and use it to find multiple angle formulae and sums of series
FM-B9General Certificate of Education Advanced Level (UK A-Level) · Further-maths · 11th GradeKnow and use the definition eiθ=cosθ+isinθ and the form z =reiθ