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Apurv Zoad

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In summary, the conversation discusses the concept of amplitude in trigonometric functions, specifically in the context of sine and cosine functions. It is noted that the amplitude must remain constant, as it is not affected by the changing value of cosx. Only in certain cases, where the wavenumbers of two trigonometric functions are significantly different, can a factor in front of one function be called an "amplitude".

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Apurv Zoad

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The amplitude ##A## must be a constant. ##\cos x## changes with ##x## so isn't an amplitude.

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The amplitude of a sin2x function is the maximum vertical distance between the function and the x-axis. In other words, it represents the height of the peaks and valleys of the graph. For the sin2x function, the amplitude is always 1.

The amplitude of sin2x affects the graph by determining the vertical stretch or compression of the function. A larger amplitude results in a taller and narrower graph, while a smaller amplitude creates a shorter and wider graph.

The amplitude of sinx and sin2x is the same, which is 1. However, the difference lies in the frequency of the function. The sin2x function has a higher frequency, meaning it oscillates at a faster rate, resulting in a steeper graph.

No, the amplitude of sin2x cannot be negative. The amplitude is always the absolute value of the coefficient in front of the sine function, and for sin2x, the coefficient is always positive. Therefore, the amplitude will always be positive.

To find the amplitude of a sin2x function from an equation, you can use the formula A = |a|, where a is the coefficient in front of the sine function. For sin2x, the coefficient is 2, so the amplitude would be |2| = 2.

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