sympy.integrals.transforms.cosine_transform() in python

With the help of cosine_transform() method, we can compute the cosine transformation and return the transformed function by using this method.

cosine transformation

Syntax : cosine_transform(f, x, k, **hints)

Return : Return the transformed function.

Example #1 :

In this example we can see that by using cosine_transform() method, we are able to compute the cosine transformation and return the transformed function.

Python3

# import cosine_transform
from sympy import cosine_transform, exp, sqrt, cos
from sympy.abc import x, k, a

# Using cosine_transform() method
gfg = cosine_transform(exp(-a * x), x, k)

print(gfg)

Output :

sqrt(2)*a/(sqrt(pi)*(a**2 + k**2))

Example #2 :

Python3

# import cosine_transform
from sympy import cosine_transform, exp, sqrt, cos
from sympy.abc import x, k, a

# Using cosine_transform() method
gfg = cosine_transform(exp(-a * x), x, 5)

print(gfg)

Output :

sqrt(2)*a/(sqrt(pi)*(a**2 + 25))