Transforms and its Applications: UNIT 4: Fourier Transform
Parseval's identity in Fourier Sine Transform and Fourier Cosine Transform
Fourier Transform: Formula, Statement, Example Important Solved Problems with formula, steps, derivation and answer based on Parseval's identity in Fourier Sine Transform and Fourier Cosine Transform.
Parseval's identity in Fourier sine transform and Fourier cosine
Problems based on Parseval's identity in F.S.T and F.C.T
Example 1: Evaluate : 
using
transforms.
Solution:
Parseval's
identity is
Note:
(1) Evaluate: 
Solution:
(2) Evaluate: 
Solution:
Example 2: Using Fourier sine transform, prove
that
Solution:
Parseval's identity is
Note:
x2 in Nr and a &b in Dr. use F.S.T formula
Note:
Evaluate: 
Solution:
Example 3: Using transform methods, evaluate 
.
Solution:
Parseval's identity is
Example 4: Using transform methods, evaluate 
where a > 0.
Solution:
Parseval's identity is
Example 5: Using Parseval's identity of the
Fourier cosine transform, Evaluate 
and g(x) = e‒a|x|,
a > 0.
Solution:
Parseval's
identity is
Transforms and its Applications: UNIT 4: Fourier Transform : Tag: Engineering mathematics, Maths : - Parseval's identity in Fourier Sine Transform and Fourier Cosine Transform
Transforms and its Applications: UNIT 4: Fourier Transform
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