find the period of this function.\ny = cos $\frac{pi}{4}$x

Answer:

8

Explanation:

Step1: Recall period formula

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

Step2: Identify B value

In $y=\cos(\frac{\pi}{4}x)$, $B = \frac{\pi}{4}$.

Step3: Calculate the period

$T=\frac{2\pi}{\left|\frac{\pi}{4}\right|}=\frac{2\pi}{\frac{\pi}{4}} = 8$.