Two simple harmonic motions are represented by the equations

\({x}_{1}=5\sin \left(2\mathrm{πt}+\frac{\pi }{4}\right)\)

\({x}_{2}=5\sqrt{10}\left(\sin 2\mathrm{πt}+\cos 2\mathrm{πt}\right)\)

The ratio of the amplitude of \(x_{1}\) and \(x_{2}\) is

Question

Two simple harmonic motions are represented by the equations

\({x}_{1}=5\sin \left(2\mathrm{πt}+\frac{\pi }{4}\right)\)

\({x}_{2}=5\sqrt{10}\left(\sin 2\mathrm{πt}+\cos 2\mathrm{πt}\right)\)

The ratio of the amplitude of \(x_{1}\) and \(x_{2}\) is

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Two simple harmonic motions are represented by the equations \({x}_{1}=5\sin \left(2\mathrm{πt}+\frac{\pi }{4}\right)\) …