sympy.integrals.transforms.inverse_cosine_transform() in Python

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

inverse cosine function

Syntax : inverse_cosine_transform(F, k, x, **hints)

Return : Return the unevaluated function.

Example #1 :

In this example we can see that by using inverse_cosine_transform() method, we are able to get the inverse cosine transformation and return the unevaluated function.

Python3

# import inverse_cosine_transform
from sympy import inverse_cosine_transform, exp, sqrt, pi
from sympy.abc import x, k, a

# Using inverse_cosine_transform() method
gfg = inverse_cosine_transform(sqrt(2)*a/(sqrt(pi)*(a**2 + k**2)), k, x)

print(gfg)

Output :

exp(-a*x)

Example #2 :

Python3

# import inverse_cosine_transform
from sympy import inverse_cosine_transform, exp, sqrt, pi
from sympy.abc import x, k, a

# Using inverse_cosine_transform() method
gfg = inverse_cosine_transform(sqrt(2)*a/(sqrt(pi)*(a**2 + k**2)), k, 2)

print(gfg)

Output :

exp(-2*a)