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djyliett [7]
3 years ago
8

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

Mathematics
1 answer:
prisoha [69]3 years ago
6 0

The angles get added.

Let <em>z</em> = <em>r</em> exp(<em>i</em> <em>θ</em>) and <em>w</em> = <em>s</em> exp(<em>i</em> <em>φ</em>). Then

<em>zw</em> = <em>rs</em> exp(<em>i</em> <em>θ</em>) exp(<em>i</em> <em>φ</em>) = <em>rs</em> exp(<em>i</em> (<em>θ</em> + <em>φ</em>))

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work:

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