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They are independent quantities. Amplitude decides the intensity ie energy content of the wave and frequency is different right from amplitude.

If the maximum amplitude,E, is known then the instantaneous amplitude, e, can be found by e=E*sin(2*pi*f*t) where f is the frequency and t is the time in seconds from the start of the sine wave. Note that the angle in brackets is in radians.

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Hi there is no such a term "maximum amplitude". Amplitude itself is the maximum displacement. For a fixed frequency and fixed amplitude, as time passes then the displacement e varies as fractiion of max E. That is all. E is constant and f is another constant. They are not directly related in any way.

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Q: What is the relationship between the amplitude and frequency of a sine wave?
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