Question

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

Answer 1

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.