what is the period of y = -3sin(x)

Explanation:

Step1: Recall sine - function period formula

The general form of a sine function is $y = A\sin(Bx - C)+D$, and its period $T=\frac{2\pi}{|B|}$.

Step2: Identify the value of B

For the function $y=-3\sin(x)$, we can rewrite it as $y = - 3\sin(1x+0)+0$, so $B = 1$.

Step3: Calculate the period

Substitute $B = 1$ into the period formula $T=\frac{2\pi}{|B|}$, we get $T=\frac{2\pi}{|1|}=2\pi$.

Answer:

$2\pi$