sin(x)*sin(2*x)*sin(3*x)*sin(4*x) если x=-1/3 (упростите выражение)

$$sin{left (x right )} sin{left (2 x right )} sin{left (3 x right )} sin{left (4 x right )}$$

$$sin{left (x right )} sin{left (2 x right )} sin{left (3 x right )} sin{left (4 x right )}$$

((sin((-1/3))*sin(2*(-1/3)))*sin(3*(-1/3)))*sin(4*(-1/3))

$$sin{left ((-1/3) right )} sin{left (2 (-1/3) right )} sin{left (3 (-1/3) right )} sin{left (4 (-1/3) right )}$$

((sin(-1/3)*sin(2*(-1)/3))*sin(3*(-1)/3))*sin(4*(-1)/3)

$$sin{left (- frac{1}{3} right )} sin{left (frac{-2}{3} right )} sin{left (frac{-3}{3} right )} sin{left (frac{-4}{3} right )}$$

sin(1)*sin(1/3)*sin(2/3)*sin(4/3)

$$sin{left (frac{1}{3} right )} sin{left (frac{2}{3} right )} sin{left (1 right )} sin{left (frac{4}{3} right )}$$

sin(x)*sin(2*x)*sin(3*x)*sin(4*x)

$$- frac{1}{8} cos{left (6 x right )} – frac{1}{8} cos{left (8 x right )} + frac{1}{8} cos{left (10 x right )} + frac{1}{8}$$

2 / 3 2 / 3 3
2*sin (x)* – sin (x) + 3*cos (x)*sin(x)/* – 4*sin (x)*cos(x) + 4*cos (x)*sin(x)/*cos(x)

$$2 left(- 4 sin^{3}{left (x right )} cos{left (x right )} + 4 sin{left (x right )} cos^{3}{left (x right )}right) left(- sin^{3}{left (x right )} + 3 sin{left (x right )} cos^{2}{left (x right )}right) sin^{2}{left (x right )} cos{left (x right )}$$