Chapter 6.6, Problem 39AYU

To determine

To explain: The amplitude and the period of a sinusoidal graph are used to establish the scale on each coordinate axis.

Explanation of Solution

Given information:

The given terms are amplitude and the period.

The standard form of the sinusoidal function is given as,

  $y=A\sin \left(\omega x+\varphi \right)$

Here, the amplitude is $A$ , the angular speed is $\omega$ , and the phase angle is $\varphi$ .

The amplitude of the sinusoidal graph is the measure of the maximum y -coordinate of the graph.

The standard form of the sinusoidal function in term of period is given as,

  $y=A\sin \left(\frac{2\pi }{T}x+\varphi \right)$

The time period is the measure of the time taken to complete one oscillation of the graph. It is measured along the x -axis of the graph.