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What is the minimum number of points required to mark all maximum, minimum, and zeros in a period of a sinusoid?

A. Two
B. Three
C. Four
D. Five

User Naitsirhc
by
7.8k points

1 Answer

6 votes

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.

User Neemaximo
by
8.2k points
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