The error in finding the amplitude of the sinusoid lies in the misunderstanding of what the amplitude of a sinusoidal function represents. The amplitude of a sinusoidal function is defined as half the difference between the maximum and minimum values of the function. In this case, the maximum value of the sinusoidal function occurs at point (2,10) and the minimum value occurs at point (4,-6).
The amplitude would be calculated as follows:
Amplitude = (10 - (-6)) / 2 = 8
Therefore, the correct amplitude of the sinusoid is 8, not 10 or any other value that may have been wrongly calculated.
ERROR ANALYSIS Describe the error in finding the amplitude of a sinusoid with a maximum point at (2,10) and a minimum point at (4,-6).
3 answers
shorten the answer
The error lies in incorrectly calculating the amplitude of a sinusoid with a maximum point at (2,10) and a minimum point at (4,-6). The correct amplitude is the difference between the maximum and minimum values divided by 2, which is 8.