Derive the orthogonality relations on [math] for the functions [math]using the trig identities

[math]

[math]

[math]

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[math]

[math] [math] [math]

The first function in the integrand has period while the second has period . The length of the interval [math] is 2p, therefore the integral is



You must have an answer in the next 4 answer blanks for WeBWorK to give any credit.

[math]

[math] [math] [math]

The first function in the integrand has period while the second has period . The length of the interval [math] is 2p, therefore the integral is



You must have an answer in the next 4 answer blanks for WeBWorK to give any credit.

[math]

[math] [math] [math]

The first function in the integrand has period while the second has period . The length of the interval [math] is 2p, therefore the integral is

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