what is the period of y = sin(3x)?\n○ $\frac{pi}{3}$\n○ $\frac{2pi}{3}$\n○ $3pi$\n○ $6pi$
what is the period of y = sin(3x)?\n○ $\frac{pi}{3}$\n○ $\frac{2pi}{3}$\n○ $3pi$\n○ $6pi$
Answer
Explanation:
Step1: Recall period formula
The period of $y = \sin(bx)$ is $\frac{2\pi}{|b|}$.
Step2: Identify value of b
In $y=\sin(3x)$, $b = 3$.
Step3: Calculate the period
Substitute $b = 3$ into the formula: $\frac{2\pi}{|3|}=\frac{2\pi}{3}$.
Answer:
$\frac{2\pi}{3}$