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# The equation of shown in sinusoidal graph is:(A) $y=\sin x$(B) $y=5\sin x$(C) $y=10\sin x$ (D) $y=5\sin x$

Last updated date: 12th Jul 2024
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We know that a sine wave, or sinusoid, is the graph of the sine function in trigonometry. A sinusoidal function is a function in sine or in cosine. The amplitude of a graph is the distance on the y axis between the normal line and the maximum or minimum. It is given by parameter a in function $y=asinb\left( x-c \right)+d=acosb\left( x-c \right)+d$.
It can be thus concluded that the frequency of a trigonometric function is the number of cycles it completes in a given interval. This interval is generally $2\pi$ radians (or ${{360}^{{}^\circ }}$$y=\sin x$) for the sine and cosine curves. This sine curve, $y=\sin x$, completes 1 cycle in the interval from 0 to $2\pi$ radians. Its frequency is 1 in the interval of $2\pi$. A mathematical model is a function that describes some phenomenon. For objects that exhibit periodic behaviour, a sinusoidal function can be used as a model since these functions are periodic. However, the concept of frequency is used in some applications of periodic phenomena instead of the period.
Therefore, the correct answer is $y=\sin x$.