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В математике нельзя делить на 0 . Значит, в Вашем выражении недопустимы значения t , при которых tg(3t/4 + 3) = 0. Поскольку arctg(0)=0 ± n*pi при n=1, 2, 3… значит, ответом на Ваш Вопрос будет множество 3t/4 + 3 = k*pi , где k - любое целое число, включая 0 и отрицательные значения. Дальше сами додумаете?
Арктангенс проходят в школе в 6м или 7м классе. А Вы в каком классе учитесь? Некоторые Ваши вопросы по программе ВУЗа! см ru.wikipedia.org/wiki/Арктангенс
Если Вы хотите решить задачу, то читайте по выше-указанной мною ссылке : Арктангенсом числа x называется такое значение угла y , выраженное в радианах, для которого tg y = x . Диапазон y : -pi/2 < y < pi/2 . Уяснили простую истину ? - вот мы с Вами и прошли (прошли) Арктангенс.
А если Вы НЕ хотите решать, то скажете учителю, что "Мы не проходили arctg". Я не могу "ускорить" Вашего учителя.
Если Вы планируете стать хорошим инженером, то никогда и никому (даже себе!) не говорите, что "мы это не проходили". Каждый - сам себе Учитель, если не ленится.
Используя способ, при котором нужно решать два уравнения, Вы сами установили, что заданное выражение не имеет смысла, если значения принадлежат одной из следующих серий:
Эти две серии можно задать одной формулой, а именно
Серия соответствует чётным значениям множителя при в формуле а серия -- нечётным значениям этого множителя.
Выражение не определено не только в нулях функции но и в точках разрыва этой функции на вещественной числовой оси (в этих точках функция не определена). Оба случая описываются уравнением откуда Вы сами установили это, когда после напоминания ответили на моё сообщение: Цитата: Гордиенко Андрей Владимирович
можно вычислить из равенства
Попробуйте, пожалуйста, вычислить и сообщите, что получилось.
Не используйте, пожалуйста, без крайней необходимости букву R, потому что в математике у этой буквы много других применений. В частности, этой буквой обозначают множество вещественных чисел.
"хочу усвоить школьную программу и получить хороший аттестат" - это тоже хорошая цель, она гораздо лучше, чем убивать время на бестолковые компьютерные игры или ночные катания на машинах. Однако, спустя несколько месяцев после получения школьного аттестата Вы почувствуете некое опустошение - "не стало цели". Великий Энштейн заметил : "Движение вперёд - есть всё! Конечная цель - ничто!" Если Вы хотите, чтоб Вас уважали за деловые качества, надо учиться всю жизнь! Мне 66, и я учусь, чтоб не отстать. А легче всего учиться на простых добавках знаний, таких как арктангенс : Прочёл, понял - и стал умнее! Удачи Вам!
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принадлежат одной из следующих серий:
соответствует чётным значениям множителя при 
в формуле 
а серия 
-- нечётным значениям этого множителя.
не определено не только в нулях функции 
но и в точках разрыва этой функции на вещественной числовой оси (в этих точках функция не определена). Оба случая описываются уравнением 
откуда 
Вы сами установили это, когда после напоминания ответили на моё сообщение:
Гордиенко Андрей Владимирович 
svrvsvrv 
