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Консультация № 145342
28.09.2008, 19:45
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Доброе здоровьице уважаемые експерты!Прошу помочь мне в решении нескольких задач!Сам я дурак и не могу их решить!Заранее решившему паклон!
5)упростить sin^4(альфа)+sin^2(альфа)cos^2(альфа)-cos^2(альфа+1)
5)упростить sin^4(альфа)+sin^2(альфа)cos^2(альфа)-cos^2(альфа+1)
Обсуждение
01.10.2008, 21:56
общий
это ответ
Здравствуйте, Бортников Артём Михайлович!
Надо полагать, что вместо cos^2(альфа+1) в задании должно быть cos^2(альфа)+1. Тогда
(sin A)^4 + ((sin A)^2)((cos A)^2) - (cos A)^2 + 1 = ((sin A)^2)((sin A)^2 + (cos A)^2)) - (cos A)^2 + 1 =
= (sin A)^2 - (cos A)^2 + 1 = 1 - cos 2A = 2(sin A)^2.
Ответ: 2(sin A)^2.
Надо полагать, что вместо cos^2(альфа+1) в задании должно быть cos^2(альфа)+1. Тогда
(sin A)^4 + ((sin A)^2)((cos A)^2) - (cos A)^2 + 1 = ((sin A)^2)((sin A)^2 + (cos A)^2)) - (cos A)^2 + 1 =
= (sin A)^2 - (cos A)^2 + 1 = 1 - cos 2A = 2(sin A)^2.
Ответ: 2(sin A)^2.
Об авторе:
Facta loquuntur.
Facta loquuntur.
Форма ответа
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