if-arg-z-1-4pi-3-and-arg-z-1-2-z-7pi-6-find-arg-z-

Question Number 146235 by mathdanisur last updated on 12/Jul/21

i f a r g z_{1} = \frac{4 π}{3} a n d a r g z_{1}^{2} \cdot z = \frac{7 π}{6}

f i n d a r g z = ?

Answered by gsk2684 last updated on 12/Jul/21

a r g z_{1}^{2} z = 2 a r g z_{1} + a r g z + 2 k Π

Answered by puissant last updated on 12/Jul/21

\arg z_{1}^{2} . z = \arg z_{1}^{2} + \arg z = \frac{7 π}{6}

\Rightarrow \arg z = \frac{7 π}{6} - 2 \arg z_{1} = \frac{7 π}{6} - \frac{8 π}{3}

\Rightarrow \arg z = - \frac{3 π}{2} . .

Commented by mathdanisur last updated on 12/Jul/21

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