Complex Number Polar to Rectangular Z1 and Z2 are complex nu

Complex Number: Polar to Rectangular Z1 and Z2 are complex number in polar form. Compute the indicated mathematical operation and express your answer in Rectangular form.

Solution

z₁ =3cos120^o +3sin120^oi=-1.5 +2.598i

z₂=37cos60^o +37sin60^oi =18.5 +32.043i

z₁+z₂=(-1.5 +2.598i)+(18.5 +32.043i)

z₁+z₂=(-1.5+18.5) +(2.598+32.043)i

z₁+z₂=17.00 + 34.64i