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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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