Problem

What is the period of the function $y=\sin 3 x$ ?
(Simplity your answer. Typo an exact answer, using $x$ as neoded Use integery or fractions for any aumbers in the expression
What is the armplitude of the function $y=\sin 3 x$ ?
(Type an integer or a simplifiod fraction.)
Which of the following is the correct graph of the funclion $y=\sin 3 x$ ?
A.
B.
c.
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Answer

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Answer

Final Answer: The period of the function \(y=\sin 3 x\) is \(\boxed{\frac{2\pi}{3}}\).

Steps

Step 1 :The period of a sine function is given by the formula \(2\pi/n\), where \(n\) is the coefficient of \(x\). In this case, \(n=3\).

Step 2 :So, the period of the function \(y=\sin 3x\) is \(2\pi/3\).

Step 3 :Final Answer: The period of the function \(y=\sin 3 x\) is \(\boxed{\frac{2\pi}{3}}\).

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