Final answer:
A minimum of five points are needed to represent the maxima, minima, and zeros of a sinusoid within a single period.
Step-by-step explanation:
The minimum number of points required to mark all maximum, minimum, and zeros in a period of a sinusoid is five. This can be broken down as follows: one point for the maximum value, one point for the minimum value, and typically three points for where the sinusoid crosses the axis (the zeros), assuming it is a standard sine or cosine function.
These points will give you a complete representation of a single period of the sinusoid.
The minimum number of points required to mark all maximum, minimum, and zeros in a period of a sinusoid is four (option C).
A sinusoid is a smooth, periodic wave that repeats itself over time. It consists of maximum points (crest), minimum points (trough), and zero-crossing points. To mark all these points, we need a minimum of four points - one maximum point, one minimum point, and two zero-crossing points.
For example, considering a sine wave, we would need points at the maximum (crest), minimum (trough), and zero-crossing positions to mark all the important features of the wave.
Therefore answer is D. Five.