Determine the amplitude and period of the following function without graphing.
y = -3cos(6x)
show your work
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. So, there is no coefficient in front of the x term, so I can say it is 1. So, the period is 2π/1 = 2π.
rewrite this to answer the equation
1 answer
The amplitude of the function y = -3cos(6x) is 3 and the period is 2π.