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# Find the quotient $\frac{z_1}{z_2}$ and express it in rectangular form.$z_1 = 4(\cos 280\degree + i \sin 280\degree) \text{ and } z_2 = 4(\cos 55\degree + i \sin 55\degree)$

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To find the quotient $\dfrac{z_1}{z_2}$ of given complex numbers use formula $\dfrac{z_1}{z_2}=\dfrac{r_1}{r_2}\left[\cos\left(\theta_1-\theta_2\right)+i\sin\left(\theta_1-\theta_2\right)\right]$.

\begin{align*} \dfrac{z_1}{z_2}&=\dfrac{4\left(\cos{280°}+i\sin{280°}\right)}{4\left(\cos{55°}+i\sin{55°}\right)}\\ \dfrac{z_1}{z_2}&=\dfrac{4}{4}\left[\cos\left(280°-55°\right)+i\sin\left(280°-55°\right)\right]\\ \dfrac{z_1}{z_2}&=\left(\cos{225°}+i\sin{225°}\right) \end{align*}

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