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Реши любую задачу с помощью нейросети.
Дано
$$sin{left (a right )} – sin{left (a – 90 right )} – sin{left (a – 180 right )}$$
Подстановка условия
$$sin{left (a right )} – sin{left (a – 90 right )} – sin{left (a – 180 right )}$$
sin((-3)) – sin((-3) – 90) – sin((-3) – 180)
$$sin{left ((-3) right )} – sin{left ((-3) – 90 right )} – sin{left ((-3) – 180 right )}$$
sin(-3) – sin(-3 – 90) – sin(-3 – 180)
$$- sin{left (-90 – 3 right )} + sin{left (-3 right )} – sin{left (-180 – 3 right )}$$
-sin(3) + sin(93) + sin(183)
$$sin{left (93 right )} – sin{left (3 right )} + sin{left (183 right )}$$
Степени
$$sin{left (a right )} – sin{left (a – 180 right )} – sin{left (a – 90 right )}$$
Численный ответ
-sin(a – 180) – sin(a – 90) + sin(a)
Рациональный знаменатель
$$sin{left (a right )} – sin{left (a – 180 right )} – sin{left (a – 90 right )}$$
Объединение рациональных выражений
$$sin{left (a right )} – sin{left (a – 180 right )} – sin{left (a – 90 right )}$$
Общее упрощение
-sin(-180 + a) – sin(-90 + a) + sin(a)
$$sin{left (a right )} – sin{left (a – 180 right )} – sin{left (a – 90 right )}$$
Соберем выражение
$$sin{left (a right )} – sin{left (a – 180 right )} – sin{left (a – 90 right )}$$
-sin(a – 180) – sin(a – 90) + sin(a)
$$sin{left (a right )} – sin{left (a – 180 right )} – sin{left (a – 90 right )}$$
Общий знаменатель
-sin(-180 + a) – sin(-90 + a) + sin(a)
$$sin{left (a right )} – sin{left (a – 180 right )} – sin{left (a – 90 right )}$$
Комбинаторика
-sin(-180 + a) – sin(-90 + a) + sin(a)
$$sin{left (a right )} – sin{left (a – 180 right )} – sin{left (a – 90 right )}$$
Тригонометрическая часть
-sin(-180 + a) – sin(-90 + a) + sin(a)
$$sin{left (a right )} – sin{left (a – 180 right )} – sin{left (a – 90 right )}$$
Раскрыть выражение
cos(a)*sin(90) + cos(a)*sin(180) – cos(90)*sin(a) – cos(180)*sin(a) + sin(a)
$$- sin{left (a right )} cos{left (90 right )} – sin{left (a right )} cos{left (180 right )} + sin{left (a right )} + sin{left (180 right )} cos{left (a right )} + sin{left (90 right )} cos{left (a right )}$$