Let Maths take you Further…

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Let Maths take you Further… FP2 (MEI) Complex Numbers- Complex exponents and using complex numbers to sum Real series Let Maths take you Further…

Complex exponents and using complex numbers to sum real series Before you start: • You need to have covered the chapter on complex numbers in Further Pure 1, and sections 1 and 2 of this chapter. When you have finished… You should: • Understand the definition ejθ = cosθ + jsinθ and hence the form z = rejθ • Be able to use de Moivre’s theorem to sum suitable series

Euler’s relation: De Moivre:

Prove:

Summing series

Complex exponents and using complex numbers to sum real series When you have finished… You should: • Understand the definition ejθ = cosθ + jsinθ and hence the form z = rejθ • Be able to use de Moivre’s theorem to sum suitable series

Independent study: Using the MEI online resources complete the study plan for Complex Numbers 3: Exponent form Do the online multiple choice test for this and submit your answers online.

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