No, the amplitude of a sine wave does not change when its frequency increases. The amplitude of a sine wave represents the maximum displacement or magnitude of the wave's oscillations from its resting position. It is independent of the frequency.
In a sine wave, the frequency refers to the number of complete cycles the wave completes in a given time period. For example, a sine wave with a frequency of 1 Hz completes one cycle per second. If the frequency increases to 2 Hz, it completes two cycles per second.
While the frequency determines the rate at which the wave oscillates, it does not affect the magnitude or amplitude of the wave. The amplitude remains constant as the wave's oscillations reach the same maximum displacement or magnitude regardless of the frequency.
To visualize this, imagine a sine wave on a graph. Increasing the frequency would result in more closely spaced cycles, but the height of each cycle (the amplitude) would remain the same.