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

$$frac{sin{left (a – frac{3 p}{2} right )} cos{left (a + p right )}}{cos{left (a – frac{5 p}{2} right )} + 1}$$

$$frac{sin{left (a – frac{3 p}{2} right )} cos{left (a + p right )}}{cos{left (a – frac{5 p}{2} right )} + 1}$$

(sin((3) – 3*p/2)*cos(p + (3)))/(1 + cos((3) – 5*p/2))

$$frac{sin{left ((3) – frac{3 p}{2} right )} cos{left ((3) + p right )}}{cos{left ((3) – frac{5 p}{2} right )} + 1}$$

(sin(3 – 3*p/2)*cos(p + 3))/(1 + cos(3 – 5*p/2))

$$frac{sin{left (- frac{3 p}{2} + 3 right )} cos{left (p + 3 right )}}{cos{left (- frac{5 p}{2} + 3 right )} + 1}$$

-cos(3 + p)*sin(-3 + 3*p/2)/(1 + cos(-3 + 5*p/2))

$$- frac{sin{left (frac{3 p}{2} – 3 right )} cos{left (p + 3 right )}}{cos{left (frac{5 p}{2} – 3 right )} + 1}$$

cos(p + a)*sin(a – 3*p/2)/(1.0 + cos(a – 5*p/2))

$$frac{sin{left (frac{1}{2} left(2 a – 3 pright) right )} cos{left (a + p right )}}{cos{left (a – frac{5 p}{2} right )} + 1}$$

$$frac{sin{left (frac{1}{2} left(2 a – 3 pright) right )} cos{left (a + p right )}}{cos{left (frac{1}{2} left(2 a – 5 pright) right )} + 1}$$

$$- frac{sin{left (frac{5 p}{2} right )}}{2 cos{left (a – frac{5 p}{2} right )} + 2} + frac{sin{left (2 a – frac{p}{2} right )}}{2 cos{left (a – frac{5 p}{2} right )} + 2}$$

/ /3*p /3*p
-(cos(a)*cos(p) – sin(a)*sin(p))*|cos(a)*sin|—| – cos|—|*sin(a)|
2 / 2 / /
———————————————————————
/5*p /5*p
1 + cos(a)*cos|—| + sin(a)*sin|—|
2 / 2 /

$$- frac{left(- sin{left (a right )} sin{left (p right )} + cos{left (a right )} cos{left (p right )}right) left(- sin{left (a right )} cos{left (frac{3 p}{2} right )} + sin{left (frac{3 p}{2} right )} cos{left (a right )}right)}{sin{left (a right )} sin{left (frac{5 p}{2} right )} + cos{left (a right )} cos{left (frac{5 p}{2} right )} + 1}$$