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. 00
Solution
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 \(\boxed{\frac{2\pi}{3}}\).
