Дано
$$- sin{left (4 a right )} cos{left (6 a right )} + sin{left (6 a right )} cos{left (4 a right )} – 2 sin{left (10 a right )}$$
Подстановка условия
$$- sin{left (4 a right )} cos{left (6 a right )} + sin{left (6 a right )} cos{left (4 a right )} – 2 sin{left (10 a right )}$$
cos(4*(3/2))*sin(6*(3/2)) – sin(4*(3/2))*cos(6*(3/2)) – 2*sin(10*(3/2))
$$- sin{left (4 (3/2) right )} cos{left (6 (3/2) right )} + sin{left (6 (3/2) right )} cos{left (4 (3/2) right )} – 2 sin{left (10 (3/2) right )}$$
cos(4*3/2)*sin(6*3/2) – sin(4*3/2)*cos(6*3/2) – 2*sin(10*3/2)
$$- 2 sin{left (frac{30}{2} right )} + – sin{left (frac{12}{2} right )} cos{left (frac{18}{2} right )} + sin{left (frac{18}{2} right )} cos{left (frac{12}{2} right )}$$
-2*sin(15) + cos(6)*sin(9) – cos(9)*sin(6)
$$- 2 sin{left (15 right )} – sin{left (6 right )} cos{left (9 right )} + sin{left (9 right )} cos{left (6 right )}$$
Численный ответ
-2.0*sin(10*a) + cos(4*a)*sin(6*a) – cos(6*a)*sin(4*a)
Соберем выражение
$$sin{left (2 a right )} – 2 sin{left (10 a right )}$$
Раскрыть выражение
/ 4 4 2 2 / 3 3 5 5 / 3 3 / 6 6 4 2 2 4 5 5 9 9 3 7 7 3
cos (a) + sin (a) – 6*cos (a)*sin (a)/* – 20*cos (a)*sin (a) + 6*cos (a)*sin(a) + 6*sin (a)*cos(a)/ – – 4*sin (a)*cos(a) + 4*cos (a)*sin(a)/*cos (a) – sin (a) – 15*cos (a)*sin (a) + 15*cos (a)*sin (a)/ – 504*cos (a)*sin (a) – 20*cos (a)*sin(a) – 20*sin (a)*cos(a) + 240*cos (a)*sin (a) + 240*cos (a)*sin (a)
$$- left(- 4 sin^{3}{left (a right )} cos{left (a right )} + 4 sin{left (a right )} cos^{3}{left (a right )}right) left(- sin^{6}{left (a right )} + 15 sin^{4}{left (a right )} cos^{2}{left (a right )} – 15 sin^{2}{left (a right )} cos^{4}{left (a right )} + cos^{6}{left (a right )}right) + left(6 sin^{5}{left (a right )} cos{left (a right )} – 20 sin^{3}{left (a right )} cos^{3}{left (a right )} + 6 sin{left (a right )} cos^{5}{left (a right )}right) left(sin^{4}{left (a right )} – 6 sin^{2}{left (a right )} cos^{2}{left (a right )} + cos^{4}{left (a right )}right) – 20 sin^{9}{left (a right )} cos{left (a right )} + 240 sin^{7}{left (a right )} cos^{3}{left (a right )} – 504 sin^{5}{left (a right )} cos^{5}{left (a right )} + 240 sin^{3}{left (a right )} cos^{7}{left (a right )} – 20 sin{left (a right )} cos^{9}{left (a right )}$$
