Use complex variables to find the sum of

Jasiah Vincent

Jasiah Vincent

Answered question

2022-04-09

Use complex variables to find the sum of the Fourier Series:
sin(θ)+sin(2θ)22+sin(3θ)23+
where θ is a real variable.

Answer & Explanation

superpms01wks1

superpms01wks1

Beginner2022-04-10Added 13 answers

n=1+sin(nθ)2n=Imn1(eiθ2)n=Im(eiθ2eiθ)=Im(eiθ(2eiθ)54cosθ)
hence:
n=1+sin(nθ)2n=2sinθ54cosθ.

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