Student A states that, even though she can’t find it in the text, she thinks that arg = −arg(z). For example, she says, if z = 1 + i, then = 1 − i and arg(z) = π/4 and arg = −π/4. Student B disagrees because he feels that he has a counterexample: If z = i, then = −i; we can take arg(i) = π/2 and arg(−i) = 3π/2 and so arg(i) ≠ −arg(−i). Take sides and defend your position.
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