(a) Let a denote any fixed real number and show that the two square roots of a i Are where A a2 1 and Icirc plusmn Arg(a i) (b) With the aid of the trigonometric identities (4) in Example 3 of Sec 10, show that the square roots obtained in part (a) can be written VA expl i

Question: (a) Let a denote any fixed real number and show that the two square roots of a + i Are where A = a2 +

(a) Let a denote any fixed real number and show that the two square roots of a + i Are

where A = ˆša2 + 1 and Î± = Arg(a + i).
(b) With the aid of the trigonometric identities (4) in Example 3 of Sec. 10, show that the square roots obtained in part (a) can be written

VA expl i

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