Find the vlaues of: 1. (1+ i)5. Ans. 210 2 nn+ +i sin 2 + where n = 0, 1, 2, 3, 4. cos 4 Ans. (2)* cos 2 n n + + sin 3 2 n n+ where n = 0, 1, 2, 3. 2. (1 + v-3)4 3. (-)6 Ans. cos (4 n + 1) -i sin (4 n+ 1) 12 where n = 0, 1, 2, 3, 4, 5. 12 4 n T cos 4 nn where n =0, 1, 2. 6. Ans. 23 +i sin 4. (1 + i)23 5. Solve the equation with the help of De Moivre's theorem x -1 = 0. 2 n Tt 7 2 n t +i sin 7 Ans. cos where n = 0, 1, 2, 3, 4, 5, 6.