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Консультация № 145293
28.09.2008, 14:19
0.00 руб.
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1
Уважаемые эксперты!Преобразовать в произведение:cos 2П+ctg(П/2-альфа)-cosec (альфа-П/2)
Обсуждение
30.09.2008, 23:05
общий
это ответ
Здравствуйте, Iriha!
Решение.
cos 2п + ctg (п/2 - A) - cosec (A - п/2) = 1 + tg A + sec A = (cos A + sin A + 1)/cos A =
= (2(cos A/2)^2 - 1 + 2(sin A/2)(cos A/2) + 1)sec A = 2(cos A/2)(cos A/2 + sin A/2)sec A =
= 2[$8730$]2(cos A/2)(cos (п/4 - A))sec A.
Ответ: 2[$8730$]2(cos A/2)(cos (п/4 - A))sec A.
Решение.
cos 2п + ctg (п/2 - A) - cosec (A - п/2) = 1 + tg A + sec A = (cos A + sin A + 1)/cos A =
= (2(cos A/2)^2 - 1 + 2(sin A/2)(cos A/2) + 1)sec A = 2(cos A/2)(cos A/2 + sin A/2)sec A =
= 2[$8730$]2(cos A/2)(cos (п/4 - A))sec A.
Ответ: 2[$8730$]2(cos A/2)(cos (п/4 - A))sec A.
Об авторе:
Facta loquuntur.
Facta loquuntur.
Форма ответа
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