Question: onsider the following complex numbers, expressed in rectangular form. x = 3 j4 (1) y = 12 j5 (2) (a) Express x and y in

onsider the following complex numbers, expressed in rectangular form. x = 3 j4 (1) y = 12 j5 (2) (a) Express x and y in polar form. (b) Calculate xy using rectangular form and polar form. Which is easier? (c) Calculate |xy|2 using rectangular form and polar form. Which is easier? (d) Calculate (xy)1 using rectangular form and polar form. Which is easier? (e) Let z be a complex number. Show that the following is true without converting z to polar form. <{z} = |z| cos ( tan1 ( ={z} <{z} )) (3) Hint: Use the identity cos = 1/1 tan2 . 1

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