If any time-dependent sinusoidal harmonic function, (f(x, t)=) (A sin (k x-omega t)), satisfies the wave equation,

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If any time-dependent sinusoidal harmonic function, \(f(x, t)=\) \(A \sin (k x-\omega t)\), satisfies the wave equation, what determines the values of the wave number \(k\) and the angular frequency \(\omega\) for, say, a wave on a string?

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