What is the amplitude of the sine function?

What is the amplitude of the sine function?

• A. 1
• B. 0
• C. 2
• D. -1

Answer: (A)

The amplitude of a sine function is defined as the maximum distance the function reaches from its midline or equilibrium position. For the standard sine function, represented mathematically as \( y = \sin(x) \), the output values range from -1 to 1. The maximum value reached by the function is 1, and the minimum value is -1. Therefore, the amplitude is calculated as the maximum value minus the minimum value divided by 2, which in this case simplifies to \( (1 - (-1))/2 = 1 \). This represents how far the function oscillates above and below the midline, confirming that the amplitude of the sine function is indeed 1.

The amplitude of a sine function is defined as the maximum distance the function reaches from its midline or equilibrium position. For the standard sine function, represented mathematically as ( y = \sin(x) ), the output values range from -1 to 1. The maximum value reached by the function is 1, and the minimum value is -1. Therefore, the amplitude is calculated as the maximum value minus the minimum value divided by 2, which in this case simplifies to ( (1 - (-1))/2 = 1 ). This represents how far the function oscillates above and below the midline, confirming that the amplitude of the sine function is indeed 1.