Any non harmonic periodic function can be constructed from two or more harmonic functions One...
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Any non harmonic periodic function can be constructed from two or more harmonic functions One such function is F t a sin at a sin 2 t It can be easily checked that the functions tan wot and cot at are periodic with period T w while sec wot and cosec wt are periodic with period T 2 w Thus an sec 1 2 But such functions take values between zero and infinity So these functions cannot be used to represent displacement functions in periodic motions because displacement always takes a finite value in any physical situation 1 tan wt 7 tan ot sec wt 2 sec wt
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