Question

Find the cube roots of -64 i. Graph each cube root as a vector in the complex plane. Choose the correct cube roots below. O A. 64cos 60° + i sin 60º), 64(cos 180° + i sin 180), 64(cos 300° + i sin 300°) OB. 4cos 30° + i sin 300), 4(cos 150° + i sin 150), 4(cos 270° + i sin 270º) OC. 4cos 90° + i sin 90), 4(cos 210° + i sin 210), 4(cos 330° + i sin 330°) OD. 64(cos 0° + i sin 0°), 64(cos 120° + i sin 120°), 64(cos 240° + i sin 240°) Choose the correct graph of the cube roots of - 64 i below OA. OB. OC. OD AY

Answer 1

Page No. Date: Solo let w=stin and x = wa Twl= 64 arc w = – so in polar form W = 64 (cos (-A) tisin ( - )) re x3 = 64. ( cos(-2) + isin (-1)) By x = (64) 3 cos (20x-A) tisin AY De moivers theorem Y 434 "200 어른 x = 4 { cos (2nx-712) tisin ( 205-213) n. 4 (coso tiisin (e) a cun-1 where 6 REZ

Page No. Date: Sol are 4 (lost tisina) 4 cos (60 tisin 50) ( 35 ) +isin (30) 4 los so (B) option is correct and 4 Y 4 ca so Graph option (B) is correct