Help with HW question 792 Please show all work an if possibl

Help with HW question 792

Please show all work an if possible show a way to do this in the ti-89 calculator.

Thanks,

792) Given two complex numbers: 34 at 59 degrees and 76 at 1.23918 radians, where the angles are measured relative to the x-axis. Determine the sum of the two complex numbers: 1) magnitude, 2) angle in degrees, 3) angle in radians, 4) real part, and 5) imaginary part. ans:5 Steve Barker 1= 109.485 2= 67.2981 3= 1.17457 4= 42.2545 5= 101,003

Solution

First complex number z1 = 34 (cos 59 + i sin 59) = 17.5113+i29.1437

II complex number = 76 (cos 1.23918 + i sin 1.23918) = 24.7435+i43.8061

Hence z1+z2 = 42.2548+i72.9498

|z1+z2| =84.3039

2) angle in degrees = arc tan 1.7264

= 59.919 degrees

3) angle in radians = 1.0456 radians

4) Real part = 42.2548

5) Ima part = 72.9498