Reduction Formula

Reduction Formula 

import numpy as np

def altpro(num):

t=num

p=1

while t>=1:

p*=t

t-=2


return p



n=int(input("Enter cos power:"))

m=int(input("Enter sin power:"))

print("The Integral from 0 to {}".format(np.pi/2))

res=altpro(n-1)*altpro(m-1)/altpro(m+n)

if m%2==0 and n%2==0:

res*=np.pi/2


print("Result is {}".format(res))