Question
Graph the following functions. Describe the fast oscillatory and beat frequencies:(a) $\cos 8 t-\cos 9 t$, (b) $\cos 26 t-\cos 24 t$, (c) $\cos 10 t+\cos 9.5 t$, (d) $\cos 5 t-\sin 5.2 t$.
Step 1
For functions of the form $\cos a t - \cos b t$, we can use the trigonometric identity: \[ \cos x - \cos y = -2 \sin \left(\frac{x+y}{2}\right) \sin \left(\frac{x-y}{2}\right) \] Apply this identity to each function: (a) $\cos 8t - \cos 9t$: \[ \cos 8t - \cos 9t Show more…
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