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Консультация № 145341
28.09.2008, 19:43
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Доброе здоровьице уважаемые експерты!Прошу помочь мне в решении нескольких задач!Сам я дурак и не могу их решить!Заранее решившему паклон!
4)По заданной функции найти остальные cos(альфа)=-5/13, П<альфа<3П/2
4)По заданной функции найти остальные cos(альфа)=-5/13, П<альфа<3П/2
Обсуждение
Неизвестный
29.09.2008, 02:41
общий
это ответ
Здравствуйте, Бортников Артём Михайлович!
Cинус и косинус в 3 четверти отрицательны , а тангенс и котангенс положительны .
sqrt - корень квадратный .
sin(alfa) = -sqrt(1-((cos(alfa))^2)) = - sqrt(1-(25/169)) = - sqrt(144/169) = -12/13 = sin(alfa) .
tg(alfa) = (sin(alfa))/(cos(alfa)) = (-12*13)/(-5*13) = 12/5 .
ctg(alfa) = 1/(tg(alfa)) = 5/12 .
alfa = arctg(12/5) = 67,38013505 + 180 = 247,38013505 градусов .
sec(alfa) = 1/(cos(alfa)) = -13/5 ; cosec(alfa) = 1/(sin(alfa)) = -13/12 .
Cинус и косинус в 3 четверти отрицательны , а тангенс и котангенс положительны .
sqrt - корень квадратный .
sin(alfa) = -sqrt(1-((cos(alfa))^2)) = - sqrt(1-(25/169)) = - sqrt(144/169) = -12/13 = sin(alfa) .
tg(alfa) = (sin(alfa))/(cos(alfa)) = (-12*13)/(-5*13) = 12/5 .
ctg(alfa) = 1/(tg(alfa)) = 5/12 .
alfa = arctg(12/5) = 67,38013505 + 180 = 247,38013505 градусов .
sec(alfa) = 1/(cos(alfa)) = -13/5 ; cosec(alfa) = 1/(sin(alfa)) = -13/12 .
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