cos(6*a)-cos(4*a)*1/sin(5*a) если a=3/2 (упростите выражение)

$$cos{left (6 a right )} – frac{cos{left (4 a right )}}{sin{left (5 a right )}}$$

$$cos{left (6 a right )} – frac{cos{left (4 a right )}}{sin{left (5 a right )}}$$

cos(6*(3/2)) – cos(4*(3/2))/sin(5*(3/2))

$$cos{left (6 (3/2) right )} – frac{cos{left (4 (3/2) right )}}{sin{left (5 (3/2) right )}}$$

cos(6*3/2) – cos(4*3/2)/sin(5*3/2)

$$- frac{cos{left (frac{12}{2} right )}}{sin{left (frac{15}{2} right )}} + cos{left (frac{18}{2} right )}$$

-cos(6)/sin(15/2) + cos(9)

$$- frac{cos{left (6 right )}}{sin{left (frac{15}{2} right )}} + cos{left (9 right )}$$

-cos(4*a)/sin(5*a) + cos(6*a)

$$frac{1}{sin{left (5 a right )}} left(sin{left (5 a right )} cos{left (6 a right )} – cos{left (4 a right )}right)$$

$$frac{1}{sin{left (5 a right )}} left(sin{left (5 a right )} cos{left (6 a right )} – cos{left (4 a right )}right)$$

$$- cos{left (4 a right )} csc{left (5 a right )} + cos{left (6 a right )}$$

-(-cos(6*a)*sin(5*a) + cos(4*a))
———————————
sin(5*a)

$$- frac{1}{sin{left (5 a right )}} left(- sin{left (5 a right )} cos{left (6 a right )} + cos{left (4 a right )}right)$$

4 4 2 2
6 6 – cos (a) – sin (a) + 6*cos (a)*sin (a) 4 2 2 4
cos (a) – sin (a) + ———————————————– – 15*cos (a)*sin (a) + 15*cos (a)*sin (a)
5 2 3 4
sin (a) – 10*cos (a)*sin (a) + 5*cos (a)*sin(a)

$$frac{- sin^{4}{left (a right )} + 6 sin^{2}{left (a right )} cos^{2}{left (a right )} – cos^{4}{left (a right )}}{sin^{5}{left (a right )} – 10 sin^{3}{left (a right )} cos^{2}{left (a right )} + 5 sin{left (a right )} cos^{4}{left (a right )}} – sin^{6}{left (a right )} + 15 sin^{4}{left (a right )} cos^{2}{left (a right )} – 15 sin^{2}{left (a right )} cos^{4}{left (a right )} + cos^{6}{left (a right )}$$