Системы тригонометрических неравенств и методы их решения
Системы неравенств можно решать с помощью единичной окружности придерживаясь следующего алгоритма:
- Отметить на окружности решение первого неравенств.
- Отметить решение второго неравенства.
- Выделить общее решение (пересечение дуг).
- Записать общее решение системы неравенств с учетом периода.
Пример.
Решить систему неравенств:
Решение.
Первое неравенство sinx > 0.5 имеет решение:
Второе неравенство tg x < 1 имеет решение:
Совмещение этих двух решений дает общее решение:
Область решения это область пересечения штриховок.
Вопросы к конспектам
Решите систему неравенств: 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Решите систему неравенств: 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Решите систему неравенств: 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Последнее изменение: Среда, 1 Февраль 2017, 18:22