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

y = 4 cos x

show your work

The amplitude of a sine or cosine function is the absolute value of the coefficient multiplying the trigonometric function. In this case, the coefficient is 4, so the amplitude is 4.

The period of a cosine or sine function is calculated using the formula 2π / b, where b is the coefficient multiplying the variable inside the trigonometric function. In this case, the coefficient is 1, so the period is 2π.