The Period goes from one peak to the next (or from any point to the next matching point): The Amplitude is the height from the center line to the peak (or to the trough). Or we can measure the height from highest to lowest points and divide that by 2.

2025年1月16日 · The amplitude represents the height of the curve, while the period measures the length of one complete cycle of the function. Amplitude. The amplitude of a trigonometric function refers to the height of its peaks (highest points) or the depth of its troughs (lowest points) relative to its midline, also known as the central axis or equilibrium ...

2022年5月4日 · Given any function of the form \(y=a \sin b x\) or \(y=a \cos b x\), you know how to find the amplitude and period and how to use this information to graph the functions. Given a graph of a sine or cosine function, you also can determine …

2024年2月3日 · As discussed below, given any generalized sine or cosine curve, you should be able to determine its amplitude, period, and phase shift. Sample question: State the amplitude, period, and phase shift of $\,y = 5\sin(3x-1)\,.$

Use the form asin(bx−c)+ d a sin (b x - c) + d to find the variables used to find the amplitude, period, phase shift, and vertical shift. Find the amplitude |a| | a |. Find the period of sin(x) sin (x). Tap for more steps... Find the phase shift using the formula c b c b. Tap for more steps... List the properties of the trigonometric function.

Amplitude—distance between the resting position and the maximum displacement of the wave; Frequency—number of waves passing by a specific point per second; Period—time it takes for one wave cycle to complete; In addition to amplitude, frequency, and period, their wavelength and wave velocity also characterize waves.

The common form when graphing amplitude, frequency, period, and phase shift is f ( t ) = A sin ( Bt + C ) or f ( t ) = A cos ( Bt + C ), where A is the amplitude, is the frequency, is the period, and is the phase shift.

Write the equation of a sine curve that has amplitude 15 and period 50°. You need to specify both \(A\) and \(B\) in \(y=A \sin (B \theta)\). Keep in mind that the period of this function is \(\frac{360^{\circ}}{B}\).

Step-by-step guide to finding amplitude, period, and phase shift Amplitude: Amplitude refers to the maximum change of a variable from its mean value. The amplitude formula helps determine the \(sin\) and \(cos\) functions. Amplitude is represented by \(A\). The sine function (or) the cosine function can be expressed as follows:

Use the form acos(bx−c)+ d a cos (b x - c) + d to find the variables used to find the amplitude, period, phase shift, and vertical shift. Find the amplitude |a| | a |. Find the period of cos(3x+ π 2) cos (3 x + π 2). Tap for more steps... Find the phase …