If you increase both the amplitude and frequency of a sine wave simultaneously, it will have a few effects on the wave, including the phase.
Amplitude: The amplitude of a sine wave determines its maximum displacement from the mean or equilibrium position. Increasing the amplitude will result in a higher peak-to-peak value, meaning the wave will oscillate with greater magnitude above and below the mean position.
Frequency: The frequency of a sine wave refers to the number of complete cycles it completes per unit of time. Increasing the frequency will cause the wave to oscillate more rapidly, completing more cycles in the same amount of time.
When you increase the amplitude and frequency of a sine wave together, the following changes occur:
Waveform: The wave will have larger oscillations (amplitude) and more oscillations per unit of time (frequency). It will appear more "compressed" or "compressed and stretched" depending on the specific changes in amplitude and frequency.
Energy: Increasing both amplitude and frequency will result in an increase in the energy of the wave. The total energy of a sine wave is proportional to the square of its amplitude and the frequency.
Phase: Increasing the amplitude and frequency simultaneously will not directly affect the phase of the wave. The phase refers to the position of the wave relative to a specific point in time or another wave. However, if you change the frequency while keeping the phase constant, it may appear as if the phase has shifted relative to a fixed reference point. This effect is known as a phase shift, but it is a result of changing the frequency rather than the amplitude.
In summary, increasing the amplitude and frequency of a sine wave simultaneously will result in larger and more frequent oscillations, increased energy, but will not directly affect the phase of the wave.