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)
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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)
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Output :
exp(-2*a)