graph the following function over a two - period interval. give the period and the amplitude.\ny =…

graph the following function over a two - period interval. give the period and the amplitude.\ny = sin(1/6)x\nthe period of the function y = sin(1/6)x is .\n(simplify your answer. type an exact answer, using π as needed. use integers or fractions for any numbers in the expression.)

graph the following function over a two - period interval. give the period and the amplitude.\ny = sin(1/6)x\nthe period of the function y = sin(1/6)x is .\n(simplify your answer. type an exact answer, using π as needed. use integers or fractions for any numbers in the expression.)

Answer

Explanation:

Step1: Recall period formula

For $y = A\sin(Bx)$, the period $T=\frac{2\pi}{|B|}$.

Step2: Identify B value

In $y=\sin(\frac{1}{6}x)$, $B = \frac{1}{6}$.

Step3: Calculate period

$T=\frac{2\pi}{\left|\frac{1}{6}\right|}= 12\pi$.

Answer:

$12\pi$