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Реши любую задачу с помощью нейросети.
Дано
$$cos{left (x right )} cos{left (2 x right )} cos{left (4 x right )} cos{left (8 x right )}$$
Подстановка условия
$$cos{left (x right )} cos{left (2 x right )} cos{left (4 x right )} cos{left (8 x right )}$$
((cos((3/2))*cos(2*(3/2)))*cos(4*(3/2)))*cos(8*(3/2))
$$cos{left ((3/2) right )} cos{left (2 (3/2) right )} cos{left (4 (3/2) right )} cos{left (8 (3/2) right )}$$
((cos(3/2)*cos(2*3/2))*cos(4*3/2))*cos(8*3/2)
$$cos{left (frac{3}{2} right )} cos{left (frac{6}{2} right )} cos{left (frac{12}{2} right )} cos{left (frac{24}{2} right )}$$
cos(3)*cos(6)*cos(12)*cos(3/2)
$$cos{left (frac{3}{2} right )} cos{left (3 right )} cos{left (6 right )} cos{left (12 right )}$$
Численный ответ
cos(x)*cos(2*x)*cos(4*x)*cos(8*x)
Соберем выражение
$$frac{1}{8} cos{left (x right )} + frac{1}{8} cos{left (3 x right )} + frac{1}{8} cos{left (5 x right )} + frac{1}{8} cos{left (7 x right )} + frac{1}{8} cos{left (9 x right )} + frac{1}{8} cos{left (11 x right )} + frac{1}{8} cos{left (13 x right )} + frac{1}{8} cos{left (15 x right )}$$
Раскрыть выражение
/ 2 2 / 4 4 2 2 / 8 8 2 6 6 2 4 4
cos (x) – sin (x)/*cos (x) + sin (x) – 6*cos (x)*sin (x)/*cos (x) + sin (x) – 28*cos (x)*sin (x) – 28*cos (x)*sin (x) + 70*cos (x)*sin (x)/*cos(x)
$$left(- sin^{2}{left (x right )} + cos^{2}{left (x right )}right) left(sin^{4}{left (x right )} – 6 sin^{2}{left (x right )} cos^{2}{left (x right )} + cos^{4}{left (x right )}right) left(sin^{8}{left (x right )} – 28 sin^{6}{left (x right )} cos^{2}{left (x right )} + 70 sin^{4}{left (x right )} cos^{4}{left (x right )} – 28 sin^{2}{left (x right )} cos^{6}{left (x right )} + cos^{8}{left (x right )}right) cos{left (x right )}$$