Find all the complex roots Leave your answer in polar form w

Find all the complex roots. Leave your answer in polar form with the argument in degrees. The complex cube roots of i. (cos i sin (Simplify your answer, including any radicals. Type an exact answer, using radicals as needed. Type any an z1 (cos i sin (simplify your answer, including any radicals. Type an exact answer, using radicals as needed. Type any ang (cos i sin ble 1 (Simplify your answer, including any radicals. Type an exact answer, using radicals as needed. Type any angl Tap

Solution

3+i =2((3_/2) +i(1_/2))

3+i =2(cos30^o +isin30^o)

z₀=(2(cos30^o +isin30^o))^1/3,z₁=(2(cos(360+30)^o +isin(360+30)^o))^1/3,z₂=(2(cos(720+30)^o +isin(720+30)^o))^1/3

z₀=(2(cos30^o +isin30^o))^1/3,z₁=(2(cos(390)^o +isin(390)^o))^1/3,z₂=(2(cos(750)^o +isin(750)^o))^1/3

z₀=2^1/3(cos(30_/3)^o +isin(30_/3)^o)),z₁=(2^1/3(cos(390_/3))^o +isin(390_/3)^o)),z₂=(2^1/3(cos(750_/3)^o +isin(750_/3)^o))

z₀=2^1/3(cos(10)^o +isin(10)^o)),z₁=(2^1/3(cos(130))^o +isin(130)^o)) ,z₂=(2^1/3(cos(250)^o +isin(250)^o))