Question

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

Answer: _______

Answer 1

Answer on Question #58220 – Math – Trigonometry

Question

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

Solution

The minimum number of points is five per period since for $y = \sin(x)$ from $x = 0$ to $x = 2\pi$ there exists a maximum $\left(\sin\left(\frac{\pi}{2}\right) = 1\right)$, a minimum $\left(\sin\left(\frac{2\pi}{2}\right) = -1\right)$ and 3 zeros $\left(\sin(0) = 0, \sin(\pi) = 0, \sin(2\pi) = 0\right)$.

Answer: 5 points.

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