if arg(z)

1.	if arg(z)
Answer» Let z=r(cosθ+isinθ) arg(z)=θ<0 −z=−r(cosθ+isinθ) =r(cos(π+θ)+isin(π+θ)) arg(−z)=π+θ ∴ arg(−z)−arg(z)=π+θ−θ=π

Answer»

Let z=r(cosθ+isinθ)

arg(z)=θ<0

−z=−r(cosθ+isinθ)

=r(cos(π+θ)+isin(π+θ))

arg(−z)=π+θ

∴ arg(−z)−arg(z)=π+θ−θ=π

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if arg(z)

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