Find the period and the amplitude of the periodic function. y = -5 cos 6x
The period of the function is given by:
T = (2π) / b
where b is the coefficient of x in the cosine function. In this case, b = 6, so we have:
T = (2π) / 6 = π / 3
The amplitude of the function is given by the absolute value of the coefficient of cosine, which is 5 in this case. Therefore, the amplitude is:
A = |−5| = 5