Complex Numbers: Argument properties MCQ

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Argument propertiesMediumQuestion 230013

Question

If arg(z) = π/3, then arg(z̄) is:

−π/3

If z = r(cos θ + i sin θ), then z̄ = r(cos θ − i sin θ) = r(cos(−θ) + i sin(−θ)). So arg(z̄) = −arg(z) = −π/3.