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Question Number 180295 by Mastermind last updated on 10/Nov/22

Express these both Cartesian and

polar form

(1) f (z) = {3 z}^{2} - 2 z + \frac{1}{z}

(2) f (z) = z + \frac{1}{z}

Thanks

Commented by Mastermind last updated on 10/Nov/22

Express these both in Cartesian (z = x + iy)

and polar form (z = {re}^{i θ})

(1) f (z) = {3 z}^{2} - 2 z + \frac{1}{z}

(2) f (z) = z + \frac{1}{z}

Thanks

Commented by Frix last updated on 10/Nov/22

z = x + i y

z = r e^{i θ} = r \cos θ + i r \sin θ

\Rightarrow you only have to do it once

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