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Using Euler's formula,
we can write
from which,
We now evaluate ,
Equating real and imaginary parts gives

(1) 
We now consider
and so
Evaluate ,
and compare real and imaginary parts:

(2) 

(3) 
Clearly, (2) and (3) are only
valid for since the derivation involves expressions
containing
.
Next: Pair of sines or
Up: Orthogonality of trigonometric functions
Previous: Orthogonality of trigonometric functions
Alexander Frolkin
20010217