Question

How does amplitude relate to the unit circle?

Answer 1

The amplitude of a function is the constant that is multiplied by the trigonometric property of a function. ... On the unit circle, the amplitude is how far the graph travels on the y-axis in both directions. Since theunit circle has a minimum/maximum value of -1 and 1, the amplitude of the graphwould be one

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Answer 2

If you make the circle larger, then there is more difference beeen 'all the way up' and 'all the way down'

Say you are in a Ferris wheel, and we decide that the level of the axis of the wheel is called 0

Then your maximum height above the axis is one radius above 0

, and your minimum height is radius below 0

You can easily derive the 'amplitude' of a Ferris wheel by taking half de diameter of the wheel.

This height we call amplitude .

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