Write the value of arg(z) + arg \((\bar z)\).

1.	Write the value of arg(z) + arg \((\bar z)\).
Answer» As we all know that, z = r(cos θ + i sin θ ) , θ = arg(z) \((\bar z)\) = r(cos(θ) - sin(θ) = r(cos(-θ)+sin(-θ) -θ = arg \((\bar z)\) So, arg(z) + arg\((\bar z)\) = θ - θ = 0

Answer»

As we all know that,

z = r(cos θ + i sin θ ) , θ = arg(z)

\((\bar z)\) = r(cos(θ) - sin(θ)

= r(cos(-θ)+sin(-θ)

-θ = arg \((\bar z)\)

So, arg(z) + arg\((\bar z)\) = θ - θ

= 0

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