Demonstration of the orthogonality of the trigonometric functions

Integrating "index_43.gif"




Demonstrating that the integral goes to zero for m≠n and λ/2 if m=n (we demonstrate this by using random choices for m and n)



If we run the above command enough times, we will see  that results where n=m give indeterminate values, for these we should use a Limit.



Performing the same steps for  "index_51.gif" and  "index_52.gif"













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