Answered: 3. Express z = −1+i in polar form. | bartleby

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3. Express z = −1+i in polar form.

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since expression of z is given by

z = x + iy

=> x = -1 and y = 1

=> $r = \sqrt{x^{2} + y^{2}} = \sqrt{{(- 1)}^{2} + 1^{2}} = \sqrt{2}$

and, $θ = \tan^{- 1} (\frac{y}{x}) = \tan^{- 1} (\frac{1}{- 1}) = - 45^{°}$

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