Determine the amplitude and period of the following function without graphing.

y = 3 sin x

show your work

1 answer

The amplitude of a sine function is the absolute value of the coefficient in front of the sine term. In this case, the coefficient is 3, so the amplitude is 3.

The period of a sine function is given by the formula 2π/b, where b is the coefficient in front of the x term. In this case, there is no coefficient in front of the x term, so we can assume it is 1. Therefore, the period is 2π/1 = 2π.