Question

determine the period of the following trigonometric function. $y = 2cos(8pi x) + 1$

Explanation:

Step1: Recall cosine period formula

For $y = A\cos(Bx + C) + D$, period is $\frac{2\pi}{|B|}$.

Step2: Identify B value

In $y=2\cos(8\pi x)+1$, $B=8\pi$.

Step3: Calculate period

$\frac{2\pi}{|8\pi|} = \frac{2\pi}{8\pi} = \frac{1}{4}$

Answer:

$\frac{1}{4}$