The correct answer is: D. Not a sinusoid
When two sinusoids of the same frequency but of different amplitudes and phase angles are subtracted, the resultant is a waveform that is not a sinusoid. This is because the two sinusoids are out of phase with each other, and when they are subtracted, the resulting waveform has a different shape.
The shape of the resulting waveform will depend on the specific values of the amplitudes and phase angles of the two sinusoids. However, in general, the resulting waveform will not be a sinusoid.
Here is a diagram that illustrates the process of subtracting two sinusoids:
[Diagram of two sinusoids being subtracted]
The two sinusoids in the diagram have the same frequency, but they have different amplitudes and phase angles. When they are subtracted, the resulting waveform is a complex waveform that is not a sinusoid.
The following is a brief explanation of each option:
- Option A: A sinusoid of the same frequency. This is not the correct answer because the resulting waveform is not a sinusoid.
- Option B: A sinusoid of half the original frequency. This is not the correct answer because the resulting waveform does not have half the original frequency.
- Option C: A sinusoid of double the frequency. This is not the correct answer because the resulting waveform does not have double the original frequency.
- Option D: Not a sinusoid. This is the correct answer because the resulting waveform is not a sinusoid.