Find and graph the cube roots of 73 +7i.Choose the correct cube roots of 73 +7 i below.A. 7(cos 10° + i sin 10°), 7( cos 130° + i sin 130°), 7( cos 250° + i sin 250°)В. 314 (cos 10° + i sin 10°), V14 (cos 130° + i sin 130°), /14 (cos 250° + i sin 250°)C. 7(cos 25° + i sin 25°), 7( cos 145° + i sin 145°), 7( cos 265° + i sin 265°)D. V14 (cos 25° + i sin 25°), V14 (cos 145° + i sin 145°), V14 (cos 265° + i sin 265°)Choose the correct graph of the cube roots of 7/3 +7 i below.A.В.OC.D.141414-714- 14

The given number is 73+7 ilet z=73+7 iconvert z into polar coordinate,r=732+72 =723+1 =74 =7(2)r=14θ=tan-1yx =tan-1773 =tan-113θ=π6+2nπ , n∈ℤθ=π+12nπ6 , n∈ℤz=rcosθ+i sinθz=14cosπ+12nπ6+i sinπ+12nπ6the cube root,z13=1413cosπ+12nπ6+i sinπ+12nπ613 =1413cos13π+12nπ6+i sin13π+12nπ6 use De'Moivre's theorem cos θ+i sin θn=cos nθ+i sin nθz13=1413cosπ+12nπ18+i sinπ+12nπ18z13=1413cosπ+12nπ18+i sinπ+12nπ18put n=0,z1=1413cosπ18+i sinπ18z1=143cos 10°+i sin 10°put n=1,z2=1413cosπ+12π18+i sinπ+12π18 =1413cos13π18+i sin13π18z2=143cos 130°+i sin 130°put n=2,z3=1413cosπ+24π18+i sinπ+24π18 =1413cos25π18+i sin25π18z3=143cos 250°+i sin 250°Answer: the cube roots are,143cos 10°+i sin 10°, 143cos 130°+i sin 130°, 143cos 250°+i sin 250°Graph of the cube roots