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Консультация № 193876
11.11.2018, 14:11
0.00 руб.
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Здравствуйте! У меня возникли сложности с таким вопросом: решить ур-е 2sin^3(x)=cos
Заранее благодарю
Заранее благодарю
Обсуждение
11.11.2018, 14:14
общий
Адресаты:
lk решить ур-е 2sin^3(x)=cos
Вы не указали аргумент функции в правой части уравнения.
Об авторе:
Facta loquuntur.
Facta loquuntur.
11.11.2018, 19:29
общий
это ответ
Здравствуйте, lk!
возводя обе части в квадрат, перейдём к уравнению-следствию:
выполним подстановку
и получим
квадратный трёхчлен
не имеет вещественных корней;
1)
2)
подстановка полученных серий решений в исходное уравнение показывает, что ему удовлетворяют те и только те решения, которые задаются формулой
График, иллюстрирующий полученное решение, находится в прикреплённом файле.
возводя обе части в квадрат, перейдём к уравнению-следствию:
выполним подстановку
и получимквадратный трёхчлен
не имеет вещественных корней;1)
2)
подстановка полученных серий решений в исходное уравнение показывает, что ему удовлетворяют те и только те решения, которые задаются формулой
График, иллюстрирующий полученное решение, находится в прикреплённом файле.
Прикрепленные файлы:
Об авторе:
Facta loquuntur.
Facta loquuntur.
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