Question

Find all the complex roots. Leave your answer in polar form with the argument in degrees. The complex cube roots of 1 + 1. zo= cos + i sin º) (Simplify your answer, including any radicals. Type an exact answer, using radicals as needed. Type any angle measures in degrees.) 21 = (cos + i sin ) (Simplify your answer, including any radicals. Type an exact answer, using radicals as needed. Type any angle measures in degrees.) 22= cos º + i sin (Simplify your answer, including any radicals. Type an exact answer, using radicals as needed. Type any angle measures in degrees.)

Answer 1

Let (1+i)= (los ot isino) - By comparing real and imaginary part MOO = 1 ☺ r sino =) egh divided by ear 6 - for dinol 62P D - Al coso tano= 1 [ 0 = 45% (0 = 7 By squaring eq hot and eqh and then added, r² sint o tr²os =1 02? sino + 8?0)=) (sino + 03% r2x1 =) from equo - (1+i) = rfloso + i sino) change in general form (1+i) = x Cos (2nT +0) tisino (217 +07 - © where h= 0, 1, 2, (20 iT added because period of sin, cos és 217) Tr=17

put the value of a so in egh (1+i) = 1 [Cox ( 20 1 ++i Sin ( 21 put n=o, 20= 1 (Cos I tisin II] = + [ cos 450 + i sin 450] put nat, (a train 1] - [61405*** in tes] | lon ) và (2 ) put n=2, - Con 765° + i sin 76507