West Clark

01/31/2023 · Elementary School

Find the cube roots of \( -125 i \). Graph each cube root as a vector in the complex plane. Choose the correct cube roots below. A. \( 5\left(\cos 30^{\circ}+i \sin 30^{\circ}\right), 5\left(\cos 150^{\circ}+i \sin 150^{\circ}\right), 5\left(\cos 270^{\circ}+i \sin 270^{\circ}\right) \) B. \( 125\left(\cos 0^{\circ}+i \sin 0^{\circ}\right), 125\left(\cos 120^{\circ}+i \sin 120^{\circ}\right), 125\left(\cos 240^{\circ}+i \sin 240^{\circ}\right) \) C. \( 125\left(\cos 60^{\circ}+i \sin 60^{\circ}\right), 125\left(\cos 180^{\circ}+i \sin 180^{\circ}\right), 125\left(\cos 300^{\circ}+i \sin 300^{\circ}\right) \) D. \( 5\left(\cos 90^{\circ}+i \sin 90^{\circ}\right), 5\left(\cos 210^{\circ}+i \sin 210^{\circ}\right), 5\left(\cos 330^{\circ}+i \sin 330^{\circ}\right) \)