Question

The Fourier Series of an even periodic function contains:
(1) Sine terms only
(2) Cosine terms only
(3) Both sine and cosine terms
(4) Alternate sine and cosine terms

Answer 1

Answer:

cosine terms only

the Fourier series of an even periodic function contains cosine terms

Answer 2

The Fourier Series of an even periodic function contains: (2) Cosine terms only

• For occasional even capacity, the mathematical Fourier series doesn't contain the sine terms since sine terms are in odd capacities. The capacity just has dc term and cosine terms of all harmonics.
• A Fourier series is a method for addressing an occasional capacity as an amount of sine and cosine capacities (potentially infinite).
• In such issues, figuring out zero coefficients is opportunity devouring and can be forestalled. With the comprehension of even and odd capacities, without carrying out the joining, the zero coefficient can be anticipated.