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Math Help - Polar Form

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    Polar Form

    Find zw and (z/w). Leave your answers in polar form.

    z = 1 - i
    w = 1 - sqrt{3} i
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    Quote Originally Posted by magentarita View Post
    Find zw and (z/w). Leave your answers in polar form.

    z = 1 - i
    w = 1 - sqrt{3} i
    To assist converting z and w into polar form, plot each of them on an Argand diagram. You should be able to find that:

    z = \sqrt{2} \, \text{cis} \left( -\frac{\pi}{4} \right).

    w = 2 \, \text{cis} \left( -\frac{\pi}{3} \right).

    Now refer to and apply the formulae for multiplying and dividing complex numbers expressed in polar form.
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