На странице представлен фрагмент
Реши любую задачу с помощью нейросети.
Дано
$$frac{6 sin{left (a right )} + 5 cos{left (a right )}}{4 sin{left (a right )} – 3 cos{left (a right )}}$$
Подстановка условия
$$frac{6 sin{left (a right )} + 5 cos{left (a right )}}{4 sin{left (a right )} – 3 cos{left (a right )}}$$
(6*sin((-1/2)) + 5*cos((-1/2)))/(4*sin((-1/2)) – 3*cos((-1/2)))
$$frac{6 sin{left ((-1/2) right )} + 5 cos{left ((-1/2) right )}}{4 sin{left ((-1/2) right )} – 3 cos{left ((-1/2) right )}}$$
(6*sin(-1/2) + 5*cos(-1/2))/(4*sin(-1/2) – 3*cos(-1/2))
$$frac{6 sin{left (- frac{1}{2} right )} + 5 cos{left (- frac{1}{2} right )}}{- 3 cos{left (- frac{1}{2} right )} + 4 sin{left (- frac{1}{2} right )}}$$
(-6*sin(1/2) + 5*cos(1/2))/(-4*sin(1/2) – 3*cos(1/2))
$$frac{- 6 sin{left (frac{1}{2} right )} + 5 cos{left (frac{1}{2} right )}}{- 3 cos{left (frac{1}{2} right )} – 4 sin{left (frac{1}{2} right )}}$$
Численный ответ
(6.0*sin(a) + 5.0*cos(a))/(4.0*sin(a) – 3.0*cos(a))
Общий знаменатель
5 38*sin(a)
– – – ———————
3 -12*sin(a) + 9*cos(a)
$$- frac{5}{3} – frac{38 sin{left (a right )}}{- 12 sin{left (a right )} + 9 cos{left (a right )}}$$
Комбинаторика
-(5*cos(a) + 6*sin(a))
———————–
-4*sin(a) + 3*cos(a)
$$- frac{6 sin{left (a right )} + 5 cos{left (a right )}}{- 4 sin{left (a right )} + 3 cos{left (a right )}}$$