Егэ-тренер. Подготовка 2018-2019
Тренинги в прямом эфире для учителей и учеников

9. Найти значение тригонометрического выражения (вар. 55)

Найдите значение выражения 8tg150°·sin(-300°)·cos720°


Вычислим значение каждого множителя отдельно. Период тангенса равен 180°,
можем от аргумента всегда отнять 180°, и значение функции не изменится:



Здесь мы воспользовались свойством нечётности тангенса: tg(-α) = -tgα.
Период синуса и косинуса равен 360°, и мы всегда можем от аргумента
отнять 360° (или прибавить 360°), значение функции тоже не поменяется:





Теперь осталось перемножить все полученные значения:



Ответ: -4

Автор: Ольга Себедаш             Просмотров: 15314

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А почему cos720 равен 0? Разве не так: cos4п=cosп=-1?

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