sin(pi*c*1/14)*sin(3*pi*1/14)*sin(5*pi*1/14) если c=-1/2 (упростите выражение)

$$sin{left (frac{3 pi}{14} right )} sin{left (frac{pi c}{14} right )} sin{left (frac{5 pi}{14} right )}$$

$$sin{left (frac{3 pi}{14} right )} sin{left (frac{pi c}{14} right )} sin{left (frac{5 pi}{14} right )}$$

(sin((pi*(-1/2))/14)*sin((3*pi)/14))*sin((5*pi)/14)

$$sin{left (frac{3 pi}{14} right )} sin{left (frac{pi (-1/2)}{14} right )} sin{left (frac{5 pi}{14} right )}$$

(sin((pi*(-1)/2)/14)*sin((3*pi)/14))*sin((5*pi)/14)

$$sin{left (frac{3 pi}{14} right )} sin{left (frac{pi}{14} – frac{1}{2} right )} sin{left (frac{5 pi}{14} right )}$$

-sin(pi/28)*sin(3*pi/14)*sin(5*pi/14)

$$- sin{left (frac{pi}{28} right )} sin{left (frac{3 pi}{14} right )} sin{left (frac{5 pi}{14} right )}$$

$$sin{left (frac{3 pi}{14} right )} sin{left (frac{5 pi}{14} right )} sin{left (frac{pi c}{14} right )}$$

0.561744900929367*sin((pi*c)/14)

$$sin{left (frac{3 pi}{14} right )} sin{left (frac{5 pi}{14} right )} sin{left (frac{pi c}{14} right )}$$

$$sin{left (frac{3 pi}{14} right )} sin{left (frac{5 pi}{14} right )} sin{left (frac{pi c}{14} right )}$$

/pi /3*pi /pi*c
cos|–|*sin|—-|*sin|—-|
7 / 14 / 14 /

$$sin{left (frac{3 pi}{14} right )} sin{left (frac{pi c}{14} right )} cos{left (frac{pi}{7} right )}$$

$$sin{left (frac{3 pi}{14} right )} sin{left (frac{5 pi}{14} right )} sin{left (frac{pi c}{14} right )}$$

/pi pi*c /5*pi pi*c /pi pi*c /3*pi pi*c
cos|– + —-| cos|—- + —-| sin|– + —-| sin|—- + —-|
14 14 / 14 14 / 7 14 / 7 14 /
– ————– – —————- + ————– + —————-
4 4 4 4

$$frac{1}{4} sin{left (frac{pi c}{14} + frac{pi}{7} right )} + frac{1}{4} sin{left (frac{pi c}{14} + frac{3 pi}{7} right )} – frac{1}{4} cos{left (frac{pi c}{14} + frac{pi}{14} right )} – frac{1}{4} cos{left (frac{pi c}{14} + frac{5 pi}{14} right )}$$

/3*pi /5*pi /pi*c
sin|—-|*sin|—-|*sin|—-|
14 / 14 / 14 /

$$sin{left (frac{3 pi}{14} right )} sin{left (frac{5 pi}{14} right )} sin{left (frac{pi c}{14} right )}$$

/3*pi /5*pi /pi*c
sin|—-|*sin|—-|*sin|—-|
14 / 14 / 14 /

$$sin{left (frac{3 pi}{14} right )} sin{left (frac{5 pi}{14} right )} sin{left (frac{pi c}{14} right )}$$

/pi /3*pi /pi*c
cos|–|*sin|—-|*sin|—-|
7 / 14 / 14 /

$$sin{left (frac{3 pi}{14} right )} sin{left (frac{pi c}{14} right )} cos{left (frac{pi}{7} right )}$$

/3*pi /5*pi /pi*c
sin|—-|*sin|—-|*sin|—-|
14 / 14 / 14 /

$$sin{left (frac{3 pi}{14} right )} sin{left (frac{5 pi}{14} right )} sin{left (frac{pi c}{14} right )}$$