If z1,z2 are two complex numbers such that Arg(z1¯)=π5 and Argz2=π3 then Arg(z2z1) =

Arg z1=−π5 ⇒Arg (z2z1)=Arg z2−Arg z1=8π15

Arg z1=−π5 ⇒Arg (z2z1)=Arg z2−Arg z1=8π15

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If $z_{1}, z_{2}$ are two complex numbers such that $A r g (\bar{z_{1}}) = \frac{π}{5}$ and $A r g z_{2} = \frac{π}{3}$ then $A r g (\frac{z_{2}}{z_{1}})$ =

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$\frac{π}{15}$

$\frac{2 π}{15}$

$- \frac{2 π}{15}$

$\frac{8 π}{15}$

answer is D.

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$A r g z_{1} = \frac{- π}{5} \Rightarrow A r g (\frac{z_{2}}{z_{1}}) = A r g z_{2} - A r g z_{1} = \frac{8 π}{15}$

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