Confirming The Fourier Coefficient Formulas

Confirming the Fourier Coefficient Formulas: 

Bsic Fourier Coefficient Formula which are given as:

Assume v is a signal of the form:

To confirm, apply it to tis signal and show that the result is a0


Clearly everything in the second term goes to zero because we are integrating sine cosine functions over exactly one or more periods. And so,


Which confirms (10). Now confirm (11) by apply it to v.



Apply the appropriate trigonometric identities: