Дано
$$frac{- sin{left (7 b right )} + sin{left (11 b right )}}{cos{left (8 b right )} + cos{left (10 b right )}}$$
Подстановка условия
$$frac{- sin{left (7 b right )} + sin{left (11 b right )}}{cos{left (8 b right )} + cos{left (10 b right )}}$$
(sin(11*(3)) – sin(7*(3)))/(cos(10*(3)) + cos(8*(3)))
$$frac{- sin{left (7 (3) right )} + sin{left (11 (3) right )}}{cos{left (8 (3) right )} + cos{left (10 (3) right )}}$$
(sin(11*3) – sin(7*3))/(cos(10*3) + cos(8*3))
$$frac{- sin{left (3 cdot 7 right )} + sin{left (3 cdot 11 right )}}{cos{left (3 cdot 10 right )} + cos{left (3 cdot 8 right )}}$$
(-sin(21) + sin(33))/(cos(24) + cos(30))
$$frac{- sin{left (21 right )} + sin{left (33 right )}}{cos{left (30 right )} + cos{left (24 right )}}$$
Численный ответ
(-sin(7*b) + sin(11*b))/(cos(8*b) + cos(10*b))
Соберем выражение
$$- frac{sin{left (7 b right )}}{cos{left (8 b right )} + cos{left (10 b right )}} + frac{sin{left (11 b right )}}{cos{left (8 b right )} + cos{left (10 b right )}}$$
Раскрыть выражение
7 11 4 7 8 3 2 5 6 10 4 3 2 9 6 5
sin (b) – sin (b) – 330*cos (b)*sin (b) – 165*cos (b)*sin (b) – 21*cos (b)*sin (b) – 7*cos (b)*sin(b) + 11*cos (b)*sin(b) + 35*cos (b)*sin (b) + 55*cos (b)*sin (b) + 462*cos (b)*sin (b)
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8 10 8 10 4 6 8 2 2 6 6 2 2 8 4 4 6 4
cos (b) + cos (b) + sin (b) – sin (b) – 210*cos (b)*sin (b) – 45*cos (b)*sin (b) – 28*cos (b)*sin (b) – 28*cos (b)*sin (b) + 45*cos (b)*sin (b) + 70*cos (b)*sin (b) + 210*cos (b)*sin (b)
$$frac{- sin^{11}{left (b right )} + 55 sin^{9}{left (b right )} cos^{2}{left (b right )} – 330 sin^{7}{left (b right )} cos^{4}{left (b right )} + sin^{7}{left (b right )} + 462 sin^{5}{left (b right )} cos^{6}{left (b right )} – 21 sin^{5}{left (b right )} cos^{2}{left (b right )} – 165 sin^{3}{left (b right )} cos^{8}{left (b right )} + 35 sin^{3}{left (b right )} cos^{4}{left (b right )} + 11 sin{left (b right )} cos^{10}{left (b right )} – 7 sin{left (b right )} cos^{6}{left (b right )}}{- sin^{10}{left (b right )} + 45 sin^{8}{left (b right )} cos^{2}{left (b right )} + sin^{8}{left (b right )} – 210 sin^{6}{left (b right )} cos^{4}{left (b right )} – 28 sin^{6}{left (b right )} cos^{2}{left (b right )} + 210 sin^{4}{left (b right )} cos^{6}{left (b right )} + 70 sin^{4}{left (b right )} cos^{4}{left (b right )} – 45 sin^{2}{left (b right )} cos^{8}{left (b right )} – 28 sin^{2}{left (b right )} cos^{6}{left (b right )} + cos^{10}{left (b right )} + cos^{8}{left (b right )}}$$
