Ex:           Express in rectangular and polar form.

Ans:        

Sol'n:      Use Euler's formula to write each complex number in rectangular form a + jb:

                       

                       

                       

                  Sum the real and imaginary parts:

                       

                  Our answer in rectangular form:

                       

                  Use the Pythagorean theorem to find the magnitude for polar form:

                       

                  Use tangent of phase angle = Im/Re to find angle for polar form:

                       

                  Our answer in polar form: