JSFH
<Text-field style="Heading 1" layout="Heading 1"><Font encoding="UTF-8">N\303\272meros Complexos</Font></Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2JVEqaW50ZXJmYWNlRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkobWZlbmNlZEdGJDYkLUYjNiwtSSNtb0dGJDYtUSInRicvRjNRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZCLyUpc3RyZXRjaHlHRkIvJSpzeW1tZXRyaWNHRkIvJShsYXJnZW9wR0ZCLyUubW92YWJsZWxpbWl0c0dGQi8lJ2FjY2VudEdGQi8lJ2xzcGFjZUdRLDAuMTExMTExMWVtRicvJSdyc3BhY2VHUSYwLjBlbUYnLUYsNiVRLmltYWdpbmFyeXVuaXRGJ0YvRjJGOi1GOzYtUSJ+RidGPkZARkNGRUZHRklGS0ZNL0ZQRlRGUi1GOzYtUSI9RidGPkZARkNGRUZHRklGS0ZNL0ZQUSwwLjI3Nzc3NzhlbUYnL0ZTRmpuRlgtRiw2JVEiaUYnRi9GMi8lK2V4ZWN1dGFibGVHRkIvJTBmb250X3N0eWxlX25hbWVHUSgyRH5NYXRoRidGPkY+LUY7Ni1RIjpGJ0Y+RkBGQ0ZFRkdGSUZLRk1GaW5GW29GX29GYW9GPg==
<Text-field style="Heading 2" layout="Heading 2"><Font encoding="UTF-8">Defini\303\247\303\243o</Font></Text-field> O conjunto de n\303\272meros complexos \342\204\202 \303\251 um campo que cont\303\251m o conjunto de n\303\272meros reais \342\204\235 e o n\303\272mero imagin\303\241rio i. O n\303\272mero i \303\251 definido como a raiz quadrada de -1 LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYsLUkjbW9HRiQ2MFEiJ0YnLyUlYm9sZEdRJXRydWVGJy8lK2ZvcmVncm91bmRHUSxbMTI4LDAsMTI4XUYnLyUsbWF0aHZhcmlhbnRHUSVib2xkRicvJStmb250d2VpZ2h0R0Y3LyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y8LyUpc3RyZXRjaHlHRjwvJSpzeW1tZXRyaWNHRjwvJShsYXJnZW9wR0Y8LyUubW92YWJsZWxpbWl0c0dGPC8lJ2FjY2VudEdGPC8lJ2xzcGFjZUdRLDAuMTExMTExMWVtRicvJSdyc3BhY2VHUSYwLjBlbUYnLUkjbWlHRiQ2KFEiaUYnRi8vJSdpdGFsaWNHRjFGMi9GNlEsYm9sZC1pdGFsaWNGJ0Y4LUYsNjBRIj1GJ0YvRjJGNUY4RjpGPUY/RkFGQ0ZFRkcvRkpRLDAuMjc3Nzc3OGVtRicvRk1GZW4tSSZtc3FydEdGJDYkLUYjNistRiw2MFEqJnVtaW51czA7RidGL0YyRjVGOEY6Rj1GP0ZBRkNGRUZHL0ZKUSwwLjIyMjIyMjJlbUYnL0ZNRmBvLUkjbW5HRiQ2J1EiMUYnRi9GMkY1RjhGL0ZTRjIvJStleGVjdXRhYmxlR0Y8LyUwZm9udF9zdHlsZV9uYW1lR1EoMkR+TWF0aEYnRlVGOEYyRitGL0YyRmZvRjVGOA== L14jIiIiLUklc3FydEc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYjISIi Assim, a raiz quadrada de qualquer n\303\272mero negativo -n pode ser escrita como 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 Ly1JJXNxcnRHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHNiI2IywkSSJuR0YoISIiKiZeIyIiIkYvLUYkNiNGK0Yv Um n\303\272mero complexo z \303\251 um dos formatos 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 L0kiekc2IiwmSSJhR0YkIiIiSSNiaUdGJEYn onde aeb s\303\243o n\303\272meros reais. O n\303\272mero a \303\251 chamado a parte real de z, denotada por Re (z), e o n\303\272mero b chamado a parte imagin\303\241ria de z, denotada por Im (z). Se b = 0, o n\303\272mero z \303\251 puramente real. Se a = 0, o n\303\272mero z \303\251 puramente imagin\303\241rio.
<Text-field style="Heading 2" layout="Heading 2"><Font encoding="UTF-8">Adi\303\247\303\243o e Multiplica\303\247\303\243o</Font></Text-field> A soma de dois n\303\272meros complexos a + bi e c + di \303\251 dada por 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 JSFH Por exemplo : 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 LCYiIiciIiIqJiIiKUYkXiNGJEYkRiQ= O produto de dois n\303\272meros complexos pode ser calculado usando a propriedade distributiva e o fato de que i^2 = -1. O produto de a + bi e c + di s\303\243o dados por 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 LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic= Por exemplo : 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 LCYiIighIiIqJiIjQSIiIl4jRidGJ0Yn A adi\303\247\303\243o e multiplica\303\247\303\243o de n\303\272meros complexos s\303\243o comutativas e associativas. Isso significa que para quaisquer tr\303\252s n\303\272meros complexos Z1,Z2 e Z3, as seguintes propriedades s\303\243o v\303\241lidas (a) 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 LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=
<Text-field style="Heading 2" layout="Heading 2">Conjugados e Inversos</Text-field> O conjugado de um n\303\272mero complexo 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\303\251 indicado por 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 e \303\251 definido 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 LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic= O conjugado de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2J1EiekYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZm9yZWdyb3VuZEdRKlswLDAsMTI4XUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2L1EifkYnRjJGNS9GOVEnbm9ybWFsRicvJSZmZW5jZUdGNy8lKnNlcGFyYXRvckdGNy8lKXN0cmV0Y2h5R0Y3LyUqc3ltbWV0cmljR0Y3LyUobGFyZ2VvcEdGNy8lLm1vdmFibGVsaW1pdHNHRjcvJSdhY2NlbnRHRjcvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZRRjJGNUY/tem os mesmos componentes que o n\303\272mero LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2J1EiekYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZm9yZWdyb3VuZEdRKlswLDAsMTI4XUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2L1EifkYnRjJGNS9GOVEnbm9ybWFsRicvJSZmZW5jZUdGNy8lKnNlcGFyYXRvckdGNy8lKXN0cmV0Y2h5R0Y3LyUqc3ltbWV0cmljR0Y3LyUobGFyZ2VvcEdGNy8lLm1vdmFibGVsaW1pdHNHRjcvJSdhY2NlbnRHRjcvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZRRjtGMkY1Rj8=em si, exceto que a parte imagin\303\241ria \303\251 negada. Tomando o produto de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2J1EiekYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZm9yZWdyb3VuZEdRKlswLDAsMTI4XUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2L1EifkYnRjJGNS9GOVEnbm9ybWFsRicvJSZmZW5jZUdGNy8lKnNlcGFyYXRvckdGNy8lKXN0cmV0Y2h5R0Y3LyUqc3ltbWV0cmljR0Y3LyUobGFyZ2VvcEdGNy8lLm1vdmFibGVsaW1pdHNHRjcvJSdhY2NlbnRHRjcvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZRRjJGNUY/e seu conjugado LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkmbW92ZXJHRiQ2JS1GIzYpLUkjbWlHRiQ2J1EiekYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZm9yZWdyb3VuZEdRKlswLDAsMTI4XUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjRGN0Y6LyUscGxhY2Vob2xkZXJHRjYvJTZzZWxlY3Rpb24tcGxhY2Vob2xkZXJHRjZGPS1JI21vR0YkNjBRKiZPdmVyQmFyO0YnRjdGOkZAL0Y+USdub3JtYWxGJy8lJmZlbmNlR1EmdW5zZXRGJy8lKnNlcGFyYXRvckdGTC8lKXN0cmV0Y2h5R0Y2LyUqc3ltbWV0cmljR0ZMLyUobGFyZ2VvcEdGTC8lLm1vdmFibGVsaW1pdHNHRkwvJSdhY2NlbnRHRjYvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZlbkZXLUZFNi9RIn5GJ0Y3RjpGSC9GS0Y8L0ZORjwvRlBGPC9GUkY8L0ZURjwvRlZGPC9GWEY8RllGZm5GN0Y6Rkg=produz LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYzLUkjbWlHRiQ2KFEiekYnLyUlYm9sZEdRJXRydWVGJy8lJ2l0YWxpY0dGMS8lK2ZvcmVncm91bmRHUSlbMCw1MSwwXUYnLyUsbWF0aHZhcmlhbnRHUSxib2xkLWl0YWxpY0YnLyUrZm9udHdlaWdodEdRJWJvbGRGJy1JI21vR0YkNjBRJyZzZG90O0YnRi9GNC9GOEY8RjovJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRkQvJSlzdHJldGNoeUdGRC8lKnN5bW1ldHJpY0dGRC8lKGxhcmdlb3BHRkQvJS5tb3ZhYmxlbGltaXRzR0ZELyUnYWNjZW50R0ZELyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGUy1JJm1vdmVyR0YkNiUtRiM2K0YrRi9GMkY0LyUrZXhlY3V0YWJsZUdGRC8lLHBsYWNlaG9sZGVyR0YxLyU2c2VsZWN0aW9uLXBsYWNlaG9sZGVyR0YxRjdGOi1GPjYxUSomT3ZlckJhcjtGJ0YvRjRGZ25GQUY6L0ZDUSZ1bnNldEYnL0ZGRl9vL0ZIRjEvRkpGX28vRkxGX28vRk5GX28vRlBGMUZRRlRGZW8tRj42MFEiPUYnRi9GNEZBRjpGQkZFRkdGSUZLRk1GTy9GUlEsMC4yNzc3Nzc4ZW1GJy9GVUZqby1JKG1mZW5jZWRHRiQ2Jy1GIzYsLUYsNihRImFGJ0YvRjJGNEY3RjotRj42MFEiK0YnRi9GNEZBRjpGQkZFRkdGSUZLRk1GTy9GUlEsMC4yMjIyMjIyZW1GJy9GVUZocC1GLDYoUSJiRidGL0YyRjRGN0Y6Rj0tRiw2KFEiaUYnRi9GMkY0RjdGOkYvRjRGZW5GQUY6Ri9GNEZBRjotRj42MFEifkYnRi9GNEZBRjpGQkZFRkdGSUZLRk1GT0ZRRlQtRl1wNictRiM2LEZhcC1GPjYwUSgmbWludXM7RidGL0Y0RkFGOkZCRkVGR0ZJRktGTUZPRmdwRmlwRmpwRj1GXXFGL0Y0RmVuRkFGOkYvRjRGQUY6RmZvLUklbXN1cEdGJDYlRmFwLUYjNiktSSNtbkdGJDYnUSIyRidGL0Y0RkFGOkYvRjJGNEZlbkY3RjovJTFzdXBlcnNjcmlwdHNoaWZ0R1EiMEYnRmRwLUZbcjYlRmpwRl1yRmNyLUY+NjBRIjpGJ0YvRjRGQUY6RkJGRUZHRklGS0ZNRk9GaW9GW3BGL0Y0RmVuRkFGOg== LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic= Por exemplo : 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 IiM4 Assim, o produto 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\303\251 um n\303\272mero real que reflete a magnitude do n\303\272mero LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2J1EiekYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZm9yZWdyb3VuZEdRKlswLDAsMTI4XUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2L1EifkYnRjJGNS9GOVEnbm9ybWFsRicvJSZmZW5jZUdGNy8lKnNlcGFyYXRvckdGNy8lKXN0cmV0Y2h5R0Y3LyUqc3ltbWV0cmljR0Y3LyUobGFyZ2VvcEdGNy8lLm1vdmFibGVsaW1pdHNHRjcvJSdhY2NlbnRHRjcvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZRRjJGNUY/. Usamos isso para definir o valor absoluto de um n\303\272mero complexo, que \303\240s vezes \303\251 chamado de m\303\263dulo. O m\303\263dulo de um n\303\272mero complexo LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYsLUkjbWlHRiQ2J1EiekYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZm9yZWdyb3VuZEdRKlswLDAsMTI4XUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2L1EiPUYnRjJGNS9GOVEnbm9ybWFsRicvJSZmZW5jZUdGNy8lKnNlcGFyYXRvckdGNy8lKXN0cmV0Y2h5R0Y3LyUqc3ltbWV0cmljR0Y3LyUobGFyZ2VvcEdGNy8lLm1vdmFibGVsaW1pdHNHRjcvJSdhY2NlbnRHRjcvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZRLUYsNidRImFGJ0YvRjJGNUY4LUY8Ni9RIitGJ0YyRjVGP0ZBRkNGRUZHRklGS0ZNL0ZQUSwwLjIyMjIyMjJlbUYnL0ZTRmVuLUYsNidRImJGJ0YvRjJGNUY4LUY8Ni9RJyZzZG90O0YnRjJGNUY/RkFGQ0ZFRkdGSUZLRk0vRlBRJjAuMGVtRicvRlNGXm8tRiw2J1EiaUYnRi9GMkY1RjhGMkY1Rj8= \303\251 indicado porLUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictSShtZmVuY2VkR0YkNictRiM2KC1GLDYmUSJ6RicvJSdpdGFsaWNHUSV0cnVlRicvJStmb3JlZ3JvdW5kR1EqWzAsMCwxMjhdRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjdGOi8lLHBsYWNlaG9sZGVyR0Y5LyU2c2VsZWN0aW9uLXBsYWNlaG9sZGVyR0Y5Rj1GOi9GPlEnbm9ybWFsRicvJSVvcGVuR1EmJm1pZDtGJy8lJmNsb3NlR0ZIRjpGRA== e \303\251 definido como 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 Se 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 Deixe 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e 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. Podemos determinar o valor do quociente 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 multiplicando o numerador e o denominador pelo conjugado de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUklbXN1YkdGJDYmLUkjbWlHRiQ2JlEiekYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYvNiZRIjJGJ0YyRjVGOC8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnL0krbXNlbWFudGljc0dGJFEnYXRvbWljRictRi82I1EhRicvJStmb3JlZ3JvdW5kR1EqWzAsMCwxMjhdRidGNS9GOVEnbm9ybWFsRic=. 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 JSFH Agora temos uma maneira de definir o inverso de um n\303\272mero complexo diferente de zero LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2J1EiekYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZm9yZWdyb3VuZEdRKlswLDAsMTI4XUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjJGNS9GOVEnbm9ybWFsRic=, que denotamos by 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, do seguinte modo. 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 JSFH JSFH Como mostrado abaixo, o produto de um n\303\272mero complexo LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2J1EiekYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZm9yZWdyb3VuZEdRKlswLDAsMTI4XUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjJGNS9GOVEnbm9ybWFsRic= e seu inverso \303\251 um. 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
<Text-field style="Heading 2" layout="Heading 2"><Font encoding="UTF-8">A f\303\263rmula DeMoivre</Font></Text-field> Para qualquer n\303\272mero real LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2J1EieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZm9yZWdyb3VuZEdRKlswLDAsMTI4XUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjJGNS9GOVEnbm9ybWFsRic= representando um \303\242ngulo de medida radiano, temos a seguinte identidade. # the DeMoivre formula 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 O plano complexo \303\251 um sistema cooridinado 2D com um eixo real e um eixo imagin\303\241rio que s\303\243o perpendiculares entre si no plano complexo.O \303\242ngulo que ele forma com o eixo real \303\251 chamado de argumento de um n\303\272mero complexo e \303\251 indicado por LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2J1EkYXJnRicvJSdpdGFsaWNHUSV0cnVlRicvJStmb3JlZ3JvdW5kR1EqWzAsMCwxMjhdRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictSSNtb0dGJDYvUSJ+RidGMkY1L0Y5USdub3JtYWxGJy8lJmZlbmNlR0Y3LyUqc2VwYXJhdG9yR0Y3LyUpc3RyZXRjaHlHRjcvJSpzeW1tZXRyaWNHRjcvJShsYXJnZW9wR0Y3LyUubW92YWJsZWxpbWl0c0dGNy8lJ2FjY2VudEdGNy8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHRlEtRiw2J1EiekYnRi9GMkY1RjhGMkY1Rj8= . Um argumento poss\303\255vel of LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYqLUkjbWlHRiQ2J1EiekYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZm9yZWdyb3VuZEdRKlswLDAsMTI4XUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2L1EiPUYnRjJGNS9GOVEnbm9ybWFsRicvJSZmZW5jZUdGNy8lKnNlcGFyYXRvckdGNy8lKXN0cmV0Y2h5R0Y3LyUqc3ltbWV0cmljR0Y3LyUobGFyZ2VvcEdGNy8lLm1vdmFibGVsaW1pdHNHRjcvJSdhY2NlbnRHRjcvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZRLUYsNidRImFGJ0YvRjJGNUY4LUY8Ni9RIitGJ0YyRjVGP0ZBRkNGRUZHRklGS0ZNL0ZQUSwwLjIyMjIyMjJlbUYnL0ZTRmVuLUYsNidRI2JpRidGL0YyRjVGOEYyRjVGPw== \303\211 dado por. 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 JSFH onde a fun\303\247\303\243o sgn(b) retorna o sinal de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2J1EiYkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZm9yZWdyb3VuZEdRKlswLDAsMTI4XUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2L1EifkYnRjJGNS9GOVEnbm9ybWFsRicvJSZmZW5jZUdGNy8lKnNlcGFyYXRvckdGNy8lKXN0cmV0Y2h5R0Y3LyUqc3ltbWV0cmljR0Y3LyUobGFyZ2VvcEdGNy8lLm1vdmFibGVsaW1pdHNHRjcvJSdhY2NlbnRHRjcvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZRRjJGNUY/ 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Como as fun\303\247\303\265es seno e cosseno t\303\252m um per\303\255odo de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW5HRiQ2JlEiMkYnLyUrZm9yZWdyb3VuZEdRKlswLDAsMTI4XUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLUkjbW9HRiQ2L1EifkYnRi9GMkY1LyUmZmVuY2VHRjQvJSpzZXBhcmF0b3JHRjQvJSlzdHJldGNoeUdGNC8lKnN5bW1ldHJpY0dGNC8lKGxhcmdlb3BHRjQvJS5tb3ZhYmxlbGltaXRzR0Y0LyUnYWNjZW50R0Y0LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGTC1JI21pR0YkNidRJyYjOTYwO0YnLyUnaXRhbGljR0Y0Ri9GMkY1Ri9GMkY1 , n\303\263s sabemos isso 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 JSFH para qualquer n\303\272mero inteiro LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2J1Eia0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZm9yZWdyb3VuZEdRKlswLDAsMTI4XUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjJGNS9GOVEnbm9ybWFsRic=.
<Text-field style="Heading 3" layout="Heading 3"><Font encoding="UTF-8">poderes de n\303\272meros complexos</Font></Text-field> A f\303\263rmula DeMoivre \303\251 \303\272til para elevar um n\303\272mero complexo a uma pot\303\252ncia. Por exemplo, a quantidade LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUklbXN1cEdGJDYlLUkjbWlHRiQ2J1EiekYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZm9yZWdyb3VuZEdRKlswLDAsMTI4XUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYjNictRi82J1EibkYnRjJGNUY4RjtGMkY1RjhGOy8lMXN1cGVyc2NyaXB0c2hpZnRHUSIwRidGNUY4L0Y8USdub3JtYWxGJw== pode ser escrito como: 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 JSFH Em particular, podemos calcular as ra\303\255zes de um n\303\272mero complexo 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 JSFH LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2JlElT25kZUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZm9yZWdyb3VuZEdRKlswLDAsMTI4XUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi5RIn5GJ0YyL0Y2USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGQC8lKXN0cmV0Y2h5R0ZALyUqc3ltbWV0cmljR0ZALyUobGFyZ2VvcEdGQC8lLm1vdmFibGVsaW1pdHNHRkAvJSdhY2NlbnRHRkAvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZPLUYsNiZRImtGJ0YvRjJGNUYyLyUrZXhlY3V0YWJsZUdGQEY8 \303\251 um n\303\272mero inteiro. Escolhendo 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 tudo LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2J1EibkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZm9yZWdyb3VuZEdRKlswLDAsMTI4XUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2L1EifkYnRjJGNS9GOVEnbm9ybWFsRicvJSZmZW5jZUdGNy8lKnNlcGFyYXRvckdGNy8lKXN0cmV0Y2h5R0Y3LyUqc3ltbWV0cmljR0Y3LyUobGFyZ2VvcEdGNy8lLm1vdmFibGVsaW1pdHNHRjcvJSdhY2NlbnRHRjcvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZRRjJGNUY/ra\303\255zes do n\303\272mero LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2J1EiekYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZm9yZWdyb3VuZEdRKlswLDAsMTI4XUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjJGNS9GOVEnbm9ybWFsRic=. Uma ra\303\255z LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2J1EnJiM5NjE7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUrZm9yZWdyb3VuZEdRKlswLDAsMTI4XUYnLyUrZXhlY3V0YWJsZUdGMS8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRidGMkY1Rjc= \303\251 chamado primitivo se o menor poder positivo LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2J1EibUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZm9yZWdyb3VuZEdRKlswLDAsMTI4XUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjJGNS9GOVEnbm9ybWFsRic= produzindo 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 and 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: O LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2J1EibkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZm9yZWdyb3VuZEdRKlswLDAsMTI4XUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjJGNS9GOVEnbm9ybWFsRic=-th ra\303\255zes da unidade podem ser calculadas usando a f\303\263rmula 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 JSFH Por exemplo, as tr\303\252s ra\303\255zes do cubo da unidade LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUklbXN1YkdGJDYmLUkjbWlHRiQ2JlEmJnJobztGJy8lJ2l0YWxpY0dRJmZhbHNlRicvJStleGVjdXRhYmxlR0Y0LyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1GLzYmUSIwRicvRjNRJXRydWVGJ0Y1L0Y4USdpdGFsaWNGJy8lL3N1YnNjcmlwdHNoaWZ0R0Y8L0krbXNlbWFudGljc0dGJFEnYXRvbWljRicvJStmb3JlZ3JvdW5kR1EqWzAsMCwxMjhdRidGNUY3 , LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUklbXN1YkdGJDYmLUkjbWlHRiQ2JlEmJnJobztGJy8lJ2l0YWxpY0dRJmZhbHNlRicvJStleGVjdXRhYmxlR0Y0LyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1GLzYmUSIxRicvRjNRJXRydWVGJ0Y1L0Y4USdpdGFsaWNGJy8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnL0krbXNlbWFudGljc0dGJFEnYXRvbWljRicvJStmb3JlZ3JvdW5kR1EqWzAsMCwxMjhdRidGNUY3 e LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUklbXN1YkdGJDYmLUkjbWlHRiQ2JlEmJnJobztGJy8lJ2l0YWxpY0dRJmZhbHNlRicvJStleGVjdXRhYmxlR0Y0LyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1GLzYmUSIyRicvRjNRJXRydWVGJ0Y1L0Y4USdpdGFsaWNGJy8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnL0krbXNlbWFudGljc0dGJFEnYXRvbWljRicvJStmb3JlZ3JvdW5kR1EqWzAsMCwxMjhdRidGNUY3 s\303\243o dados por 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