Find the period and the amplitude of the periodic function.

Question

y = –4 cos 8x

Answer 1

The period of the function y = -4 cos 8x is given by 2π/b, where b is the coefficient of x in the function. In this case, b = 8, so the period is 2π/8 = π/4.

The amplitude of the function y = -4 cos 8x is given by the absolute value of the coefficient of the cosine function, which is 4. So the amplitude is 4.