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Respuestas a la sección 8.3<br />

A47<br />

17. Im<br />

19.<br />

21. Im<br />

23.<br />

12 a cos p 2 a cos 7p 4 i sen 7p 4 i sen p 4 b 4 b<br />

b<br />

25. 27.<br />

Im<br />

i<br />

i<br />

0 1 Re<br />

0 1 Re<br />

29.<br />

11p 11p<br />

4 a cos i sen<br />

6 6 b 31. 3 a cos 3p 2 i sen 3p 2<br />

33. 35. 8 a cos 11p 11p<br />

i sen<br />

4 i sen p 4 b 6 6 b<br />

37. 201cos p i sen p2 39. 53cosAtan 1 4 3B i senAtan 1 4 3B4<br />

41. 43. 8 a cos p 6 i sen p 4 i sen 3p 4 b 6 b<br />

45.<br />

47.<br />

49.<br />

51.<br />

_1<br />

0 Re<br />

1<br />

153cosAtan 1 1 2B i senAtan 1 1 2B4<br />

2 a cos p 4 i sen p 4 b<br />

i<br />

z 1 z 2 cos 4p 3 i sen 4p 3<br />

z 1 z 2 15 a cos 3p 2 i sen 3p 2 b<br />

Im<br />

i<br />

0 Re<br />

1<br />

z 1<br />

z 2<br />

cos 2p 3 i sen 2p 3<br />

59.<br />

61.<br />

63.<br />

z 1 4 a cos 11p<br />

6<br />

z 2 41cos 0 i sen 02<br />

i sen<br />

11p<br />

6 b<br />

z 2 12 a cos 3p 4 i sen 3p 4 b<br />

z 1 z 2 4 12 a cos 7p 7p<br />

i sen<br />

12 12 b<br />

z 1<br />

2 12 a cos 13p 13p<br />

i sen<br />

z 2 12 12 b<br />

1<br />

1 11p 11p<br />

a cos i sen<br />

z 1 4 6 6 b<br />

z 1 5 12 a cos p 4 i sen p 4 b<br />

z 1 z 2 20 12 a cos p 4 i sen p 4 b<br />

z 1<br />

5 12<br />

z 2 4 a cos p 4 i sen p 4 b<br />

1<br />

12<br />

z 1 10 a cos p 4 i sen p 4 b<br />

z 1 201cos p i sen p2<br />

z 2 2 a cos p 6 i sen p 6 b<br />

z 1 z 2 40 a cos 7p 6 i sen 7p 6 b<br />

z 1<br />

10 a cos 5p z 2 6 i sen 5p 6 b<br />

1<br />

1 20 1cos p i sen p2<br />

z 1<br />

65. 1024 67. 512113 i2 69. 1 71. 4096<br />

1<br />

73. 811 i2 75. 2048 A13 iB<br />

53.<br />

55.<br />

57.<br />

z 1<br />

z 2<br />

3 5 a cos 7p 6 i sen 7p 6 b<br />

z 1 z 2 81cos 150° i sen 150°2<br />

z 1 /z 2 21cos 90° i sen 90°2<br />

z 1 z 2 1001cos 350° i sen 350°2<br />

z 1 /z 2 4 25 1cos 50° i sen 50°2<br />

z 1 2 a cos p 6 i sen p 6 b<br />

z 2 2 a cos p 3 i sen p 3 b<br />

z 1 z 2 4 a cos p 2 i sen p 2 b<br />

77. 2 12 a cos p ,<br />

12 i sen p 12 b<br />

2 12 a cos 13p<br />

12<br />

i sen<br />

13p<br />

12 b i<br />

79. 3 a cos 3p ,<br />

„‚<br />

8 i sen 3p 8 b<br />

3 a cos 7p ,<br />

8 i sen 7p 8 b „⁄<br />

i<br />

„¤<br />

Im<br />

0<br />

1 Re<br />

Im<br />

„⁄<br />

z 1<br />

cos p z 2 6 i sen p 6<br />

1<br />

1 z 1 2 a cos p 6 i sen p 6 b<br />

3 a cos 11p<br />

8<br />

3 a cos 15p<br />

8<br />

11p<br />

i sen ,<br />

8 b<br />

i sen<br />

15p<br />

8 b<br />

„¤<br />

0<br />

1 Re<br />

„‹

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