What is the amplitude of the sinusoidal function?
Understand the Problem
The question is asking for the amplitude of a sinusoidal function, which is a key characteristic of sine and cosine functions. The amplitude represents the maximum distance from the centerline to the peak (or trough) of the wave. To determine amplitude, we generally take the absolute value of the coefficient in front of the sine or cosine function.
Answer
The vertical distance from the midline to the peak or trough.
The amplitude of a sinusoidal function is the vertical distance from the midline to the peak (maximum value) or trough (minimum value) of the waveform.
Answer for screen readers
The amplitude of a sinusoidal function is the vertical distance from the midline to the peak (maximum value) or trough (minimum value) of the waveform.
More Information
Amplitude is crucial in understanding the behavior of sinusoidal functions, affecting how 'tall' and 'short' the waves appear.
Tips
Ensure you correctly identify the midline and maximum/minimum values on the graph and avoid confusing amplitude with other properties like period or phase shift.
Sources
- Amplitude of Sinusoidal Functions - flexbooks.ck12.org
- Math is Fun: Amplitude, Period, Phase Shift and Frequency - mathsisfun.com
- Midline, Amplitude, and Period Review - khanacademy.org
