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    IBMediumAlgebra10–12

    The complex number z=−1+i3z = -1 + i\sqrt{3} has modulus 22. What is its argument, in radians?

    O número complexo z=−1+i3z = -1 + i\sqrt{3} tem módulo 22. Qual é o seu argumento, em radianos?

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    Solution

    Step 1 of 3

    1. 1.The reference angle satisfies tan⁡θ=31\tan\theta = \frac{\sqrt{3}}{1}, so θ=π3\theta = \frac{\pi}{3}