lesson
Euler's Formula: Sketch of Derivation
Understand how Euler's identity can be derived from the Taylor series for e^x, cos x and sin x
Updated 1 month ago · 3 views
Premium Lesson
This lesson is part of a track
Public learning track
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
0 of 4 done
- Euler's Formula and de Moivre's Theorem: ConnectionUp next
- Deriving Trigonometric Identities from Exponential FormNot started yet
- Euler's Formula: Sketch of DerivationYou are here
- Linking Exponential Form to Compound AnglesNot started yet
Learning standards covered
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
FM-OT1.1General Certificate of Education Advanced Level (UK A-Level) · Further-maths · 11th Grade[Construct and present mathematical arguments through appropriate use of diagrams; sketching graphs; logical deduction; precise statements involving correct use of symbols and connecting language, including: constant, coefficient, expression, equation, function, identity, index, term, variable]