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Реши любую задачу с помощью нейросети.
Дано
$$frac{- 2 sin{left (a right )} + 10 cos{left (a right )} + 10}{sin{left (a right )} – 5 cos{left (a right )} + 5}$$
Подстановка условия
$$frac{- 2 sin{left (a right )} + 10 cos{left (a right )} + 10}{sin{left (a right )} – 5 cos{left (a right )} + 5}$$
(10*cos((2)) – 2*sin((2)) + 10)/(sin((2)) – 5*cos((2)) + 5)
$$frac{- 2 sin{left ((2) right )} + 10 cos{left ((2) right )} + 10}{sin{left ((2) right )} – 5 cos{left ((2) right )} + 5}$$
(10*cos(2) – 2*sin(2) + 10)/(sin(2) – 5*cos(2) + 5)
$$frac{10 cos{left (2 right )} – 2 sin{left (2 right )} + 10}{sin{left (2 right )} – 5 cos{left (2 right )} + 5}$$
(10 – 2*sin(2) + 10*cos(2))/(5 – 5*cos(2) + sin(2))
$$frac{10 cos{left (2 right )} – 2 sin{left (2 right )} + 10}{sin{left (2 right )} – 5 cos{left (2 right )} + 5}$$
Численный ответ
(10.0 + 10.0*cos(a) – 2.0*sin(a))/(5.0 – 5.0*cos(a) + sin(a))
Соберем выражение
$$- frac{2 sin{left (a right )}}{sin{left (a right )} – 5 cos{left (a right )} + 5} + frac{10 cos{left (a right )}}{sin{left (a right )} – 5 cos{left (a right )} + 5} + frac{10}{sin{left (a right )} – 5 cos{left (a right )} + 5}$$
Общий знаменатель
20
-2 – ———————-
-5 – sin(a) + 5*cos(a)
$$-2 – frac{20}{- sin{left (a right )} + 5 cos{left (a right )} – 5}$$
Комбинаторика
-2*(5 – sin(a) + 5*cos(a))
————————–
-5 – sin(a) + 5*cos(a)
$$- frac{- 2 sin{left (a right )} + 10 cos{left (a right )} + 10}{- sin{left (a right )} + 5 cos{left (a right )} – 5}$$