What is the amplitude of the sine function?

Prepare for the GCSE Maths Exam with our interactive quizzes. Study with a variety of questions and detailed explanations. Enhance your skills and boost your confidence before the exam day!

Multiple Choice

What is the amplitude of the sine function?

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.

More practice questions