Дано
$$sin{left (a + 90 right )} + cos{left (a – 180 right )} + tan{left (a + 270 right )} + cot{left (- a + 2 pi right )} + 2 cot{left (a right )}$$
Степени
$$sin{left (a + 90 right )} + cos{left (a – 180 right )} + tan{left (a + 270 right )} + cot{left (a right )}$$
Численный ответ
2.0*cot(a) + cos(a – 180) + cot(2*pi – a) + sin(90 + a) + tan(a + 270)
Рациональный знаменатель
$$sin{left (a + 90 right )} + cos{left (a – 180 right )} + tan{left (a + 270 right )} + cot{left (a right )}$$
Объединение рациональных выражений
$$sin{left (a + 90 right )} + cos{left (a – 180 right )} + tan{left (a + 270 right )} + cot{left (a right )}$$
Общее упрощение
cos(-180 + a) + cot(a) + sin(90 + a) + tan(270 + a)
$$sin{left (a + 90 right )} + cos{left (a – 180 right )} + tan{left (a + 270 right )} + cot{left (a right )}$$
Соберем выражение
$$sin{left (a + 90 right )} + cos{left (a – 180 right )} + tan{left (a + 270 right )} + 2 cot{left (a right )} + cot{left (- a + 2 pi right )}$$
cos(-180 + a) + cot(a) + sin(90 + a) + tan(270 + a)
$$sin{left (a + 90 right )} + cos{left (a – 180 right )} + tan{left (a + 270 right )} + cot{left (a right )}$$
Комбинаторика
cos(-180 + a) + cot(a) + sin(90 + a) + tan(270 + a)
$$sin{left (a + 90 right )} + cos{left (a – 180 right )} + tan{left (a + 270 right )} + cot{left (a right )}$$
Общий знаменатель
cos(-180 + a) + cot(a) + sin(90 + a) + tan(270 + a)
$$sin{left (a + 90 right )} + cos{left (a – 180 right )} + tan{left (a + 270 right )} + cot{left (a right )}$$
Тригонометрическая часть
1
– —— + 2*cot(a) + cos(a – 180) + sin(90 + a) + tan(a + 270)
tan(a)
$$sin{left (a + 90 right )} + cos{left (a – 180 right )} + tan{left (a + 270 right )} + 2 cot{left (a right )} – frac{1}{tan{left (a right )}}$$
Раскрыть выражение
tan(270) + tan(a) -1 + zoo*cot(a)
2*cot(a) + ——————- + ————— + cos(90)*sin(a) + cos(180)*cos(a) + cos(a)*sin(90) + sin(180)*sin(a)
1 – tan(270)*tan(a) zoo – cot(a)
$$sin{left (180 right )} sin{left (a right )} + sin{left (a right )} cos{left (90 right )} + cos{left (180 right )} cos{left (a right )} + sin{left (90 right )} cos{left (a right )} + 2 cot{left (a right )} + frac{tan{left (a right )} + tan{left (270 right )}}{- tan{left (270 right )} tan{left (a right )} + 1} + frac{tilde{infty} cot{left (a right )} – 1}{tilde{infty} – cot{left (a right )}}$$