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    • https://espanol.libretexts.org/Educacion_Basica/Trigonometria/05%3A_Sistema_Polar_y_N%C3%BAmeros_Complejos/5.02%3A_Curvas_polares_y_conversiones_rectangulares/5.2.03%3A_Forma_rectangular_a_polar_para_ecuaciones
      \(\begin{aligned} (x+4)^{2}+(y-1)^{2}&=17 \\ (r \cos \theta+4)^{2}+(r \sin \theta-1)^{2}&=17 && x=r \cos \theta \text{ and } y=r \sin \theta \\ r^{2} \cos ^{2} \theta+8 r \cos \theta+16+r^{2} \sin ^{2...\(\begin{aligned} (x+4)^{2}+(y-1)^{2}&=17 \\ (r \cos \theta+4)^{2}+(r \sin \theta-1)^{2}&=17 && x=r \cos \theta \text{ and } y=r \sin \theta \\ r^{2} \cos ^{2} \theta+8 r \cos \theta+16+r^{2} \sin ^{2} \theta-2 r \sin \theta+1&=17 && \text{ expand the terms} \\ r^{2} \cos ^{2} \theta+8 r \cos \theta-2 r \sin \theta+r^{2} \sin ^{2} \theta&=0 && \text{ subtract 17 from each side} \\ r^{2} \cos ^{2} \theta+r^{2} \sin ^{2} \theta&=-8 r \cos \theta+2 r \sin \theta && \text{isolate the squared terms}…

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