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    NationalHardComplex Numbers10–12

    Write (2 cisπ6)3\left(2\,\mathrm{cis}\frac{\pi}{6}\right)^3 in algebraic form.

    Escreve (2 cisπ6)3\left(2\,\mathrm{cis}\frac{\pi}{6}\right)^3 na forma algébrica.

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    Solution

    Step 1 of 3

    1. 1.By De Moivre's rule the modulus is cubed and the argument tripled: 23=82^3 = 8 and 3×π6=π23 \times \frac{\pi}{6} = \frac{\pi}{2}