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For the function y = sin(3x), what is the period?

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Question: For the function y = sin(3x), what is the period?

Options:

  1. π
  2. 2Ï€
  3. 3Ï€
  4. 6Ï€

Correct Answer: π

Solution: 

The period is calculated as 2Ï€ divided by the coefficient of x, which is 3, giving a period of 2Ï€/3.

For the function y = sin(3x), what is the period?

Practice Questions

Q1
For the function y = sin(3x), what is the period?
  1. π
  2. 2Ï€
  3. 3Ï€
  4. 6Ï€

Questions & Step-by-Step Solutions

For the function y = sin(3x), what is the period?
  • Step 1: Identify the function given, which is y = sin(3x).
  • Step 2: Look for the coefficient of x in the function. Here, the coefficient is 3.
  • Step 3: Use the formula for the period of a sine function, which is 2Ï€ divided by the coefficient of x.
  • Step 4: Substitute the coefficient into the formula: Period = 2Ï€ / 3.
  • Step 5: Conclude that the period of the function y = sin(3x) is 2Ï€/3.
  • Period of a Trigonometric Function – The period of a sine function is determined by the formula 2Ï€ divided by the coefficient of x in the argument of the sine function.
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