what is the period of y = sin(3x)?\no π/3\no 2π/3\no 3π\no 6π

Explanation:

Step1: Recall sine - function period formula

The period of the function $y = A\sin(Bx + C)+D$ is given by $T=\frac{2\pi}{|B|}$.

Step2: Identify the value of B

For the function $y=\sin(3x)$, we have $B = 3$.

Step3: Calculate the period

Substitute $B = 3$ into the period formula $T=\frac{2\pi}{|B|}$, we get $T=\frac{2\pi}{3}$.

Answer:

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