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Консультация № 200919
22.05.2021, 22:50
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Здравствуйте! У меня возникли сложности с таким вопросом:
Обсуждение
23.05.2021, 16:42
общий
Рассмотрите Z=cos([$966$])+a*cos(2*[$966$])+a2*cos(3*[$966$])+...+an-1*cos(n*[$966$]) + j*[ sin([$966$])+a*sin(2*[$966$])+a2*sin(3*[$966$])+...+an-1*sin(n*[$966$]) ] =
= exp( j*[$966$] )+a*exp( j*2*[$966$] )+a2*exp( j*3*[$966$] )+...+an-1*exp( j*n*[$966$] )
Тогда S=Re(Z).
Найдите вышеуказанное Z (там будет арифметическая прогрессия). Сделайте, чтобы в знаменателе были только действительные числа, а Z представляло бы собой сумму нескольких членов (чтобы не было произведений мнимых чисел).
Определите Re(z). Это будет набор косинусов различных углов. При желании полученное выражение можно упростить.
= exp( j*[$966$] )+a*exp( j*2*[$966$] )+a2*exp( j*3*[$966$] )+...+an-1*exp( j*n*[$966$] )
Тогда S=Re(Z).
Найдите вышеуказанное Z (там будет арифметическая прогрессия). Сделайте, чтобы в знаменателе были только действительные числа, а Z представляло бы собой сумму нескольких членов (чтобы не было произведений мнимых чисел).
Определите Re(z). Это будет набор косинусов различных углов. При желании полученное выражение можно упростить.
26.05.2021, 10:45
общий
это ответ
Здравствуйте, mfti!
Идея предложенного ниже решения заключается в использовании формулы
Выполним необходимые преобразования:
Эта задача была рассмотрена здесь: Ссылка >>.
Идея предложенного ниже решения заключается в использовании формулы
Выполним необходимые преобразования:
Эта задача была рассмотрена здесь: Ссылка >>.
Об авторе:
Facta loquuntur.
Facta loquuntur.
Форма ответа
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