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Консультация № 200301
21.02.2021, 13:28
0.00 руб.
0
5
2
Здравствуйте, уважаемые эксперты! Понимаю, что для вас это семечки и это можно сделать через калькулятор, но мне нужно увидеть подробное решение, чтобы самой понять его ход. Я сто лет назад закончила школу, а решить нужно сейчас.
sin(arcctg(-1/3)-5π/2)
Спасибо огромное!!!
sin(arcctg(-1/3)-5π/2)
Спасибо огромное!!!
Обсуждение
21.02.2021, 14:09
общий
это ответ
Здравствуйте, ascue2006!
Так как
, то
Применим формулы приведения
угол
является углом второй четверти, и тогда 
находится в первой четверти четверти, там синус положительный, меняем синус на косину , значит имеем
Воспользуемся формулой
или 
Тогда в нашем случае
Значит
Так как
, то Применим формулы приведения
угол
является углом второй четверти, и тогда находится в первой четверти четверти, там синус положительный, меняем синус на косину , значит имеем Воспользуемся формулой
или Тогда в нашем случае
Значит
5
21.02.2021, 15:54
общий
Адресаты:
Поскольку Ответы экспертов отличаются, делаем проверку в вычислителе Маткад (ссылка) . Маткад никогда не ошибается! 
Скриншот прилагаю.
Скриншот прилагаю.
Прикрепленные файлы:
27.02.2021, 18:43
общий
27.02.2021, 18:45
Адресаты:
у нас с Вами разные маткады? Выберите просто упростить
Мой уважаемый оппонент не учел что угол не первой четверти получается
Мой уважаемый оппонент не учел что угол не первой четверти получается
Прикрепленные файлы:
27.02.2021, 19:11
общий
27.02.2021, 21:56
Адресаты:
Арктангенс вообще существует только в 1-й и 4-й четвертях (угол из промежутка 
), а так как arctg положительного числа (arctg3), то это точно 1-я четверть, а не 4-я, и уж тем более не 2-я
___
а современные версии математических решателей дают неверное значение арккотангенса, который по определению из промежутка
, а они дают значение 
), а так как arctg положительного числа (arctg3), то это точно 1-я четверть, а не 4-я, и уж тем более не 2-я___
а современные версии математических решателей дают неверное значение арккотангенса, который по определению из промежутка
, а они дают значение
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