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

$$frac{sin{left (x right )} + sin{left (3 x right )}}{cos{left (2 x right )} – cos{left (4 x right )}}$$

$$frac{sin{left (x right )} + sin{left (3 x right )}}{cos{left (2 x right )} – cos{left (4 x right )}}$$

(sin((1/4)) + sin(3*(1/4)))/(cos(2*(1/4)) – cos(4*(1/4)))

$$frac{sin{left ((1/4) right )} + sin{left (3 (1/4) right )}}{cos{left (2 (1/4) right )} – cos{left (4 (1/4) right )}}$$

(sin(1/4) + sin(3/4))/(cos(2/4) – cos(4/4))

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

(sin(1/4) + sin(3/4))/(-cos(1) + cos(1/2))

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

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

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

3 2
– sin (x) + 3*cos (x)*sin(x) + sin(x)
———————————————————
2 4 2 4 2 2
cos (x) – cos (x) – sin (x) – sin (x) + 6*cos (x)*sin (x)

$$frac{- sin^{3}{left (x right )} + 3 sin{left (x right )} cos^{2}{left (x right )} + sin{left (x right )}}{- sin^{4}{left (x right )} + 6 sin^{2}{left (x right )} cos^{2}{left (x right )} – sin^{2}{left (x right )} – cos^{4}{left (x right )} + cos^{2}{left (x right )}}$$