what is the period of y = sin(3x)?\no $\frac{pi}{3}$\no $\frac{2pi}{3}$\no $3pi$\no $6pi$

Explanation:

Step1: Recall period formula

The period of $y = \sin(bx)$ is $T=\frac{2\pi}{|b|}$.

Step2: Identify value of b

For $y=\sin(3x)$, $b = 3$.

Step3: Calculate the period

$T=\frac{2\pi}{|3|}=\frac{2\pi}{3}$.

Answer:

$\frac{2\pi}{3}$