jsmnsantizo jsmnsantizo

29-01-2021
Mathematics

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When you multiply two complex numbers in polar form, what happens to the angles?

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LammettHash LammettHash

29-01-2021

The angles get added.

Let z = r exp(i θ) and w = s exp(i φ). Then

zw = rs exp(i θ) exp(i φ) = rs exp(i (θ + φ))

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