question 5\nidentify the period of (g(x)=cos\frac{1}{5}x).\n(\frac{1}{5}pi)\n(5pi)\n(\frac{2}{5}pi)\n(10pi)

Explanation:

Step1: Recall period formula for cosine

The period of $y = A\cos(Bx)$ is $T=\frac{2\pi}{|B|}$.

Step2: Identify B value

For $g(x)=\cos(\frac{1}{5}x)$, $B = \frac{1}{5}$.

Step3: Calculate the period

$T=\frac{2\pi}{\left|\frac{1}{5}\right|}= 10\pi$.

Answer:

D. $10\pi$