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.


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.