How do you find the amplitude and period of a function y = sin (πx - 1/2)?

1 Answer
Mar 28, 2016

The amplitude of a sine or cosine function is found as a multiplier "a" in the form: y = a*sin(b(x-c))+d. Since this function does not have a multiplier other than 1, then the amplitude is 1.

Explanation:

The period of a sine or cosine function is calculated by using (2pi)/b or 360^o/b depending on whether you wish to respond in radians, or degrees. This equation has pi as a multiplier on the angle, x, making the period equal to 2.