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Реши любую задачу с помощью нейросети.
Дано
$$frac{3 sin{left (a right )} – 4 cos{left (a right )}}{5 sin{left (a right )} + 6 cos{left (a right )}}$$
Подстановка условия
$$frac{3 sin{left (a right )} – 4 cos{left (a right )}}{5 sin{left (a right )} + 6 cos{left (a right )}}$$
(3*sin((2)) – 4*cos((2)))/(5*sin((2)) + 6*cos((2)))
$$frac{3 sin{left ((2) right )} – 4 cos{left ((2) right )}}{5 sin{left ((2) right )} + 6 cos{left ((2) right )}}$$
(3*sin(2) – 4*cos(2))/(5*sin(2) + 6*cos(2))
$$frac{- 4 cos{left (2 right )} + 3 sin{left (2 right )}}{6 cos{left (2 right )} + 5 sin{left (2 right )}}$$
(-4*cos(2) + 3*sin(2))/(5*sin(2) + 6*cos(2))
$$frac{- 4 cos{left (2 right )} + 3 sin{left (2 right )}}{6 cos{left (2 right )} + 5 sin{left (2 right )}}$$
Численный ответ
(3.0*sin(a) – 4.0*cos(a))/(6.0*cos(a) + 5.0*sin(a))
Соберем выражение
$$frac{3 sin{left (a right )}}{5 sin{left (a right )} + 6 cos{left (a right )}} – frac{4 cos{left (a right )}}{5 sin{left (a right )} + 6 cos{left (a right )}}$$
Общий знаменатель
2 19*sin(a)
– – + ———————
3 15*sin(a) + 18*cos(a)
$$- frac{2}{3} + frac{19 sin{left (a right )}}{15 sin{left (a right )} + 18 cos{left (a right )}}$$
Комбинаторика
-(-3*sin(a) + 4*cos(a))
————————
5*sin(a) + 6*cos(a)
$$- frac{- 3 sin{left (a right )} + 4 cos{left (a right )}}{5 sin{left (a right )} + 6 cos{left (a right )}}$$