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If sin(x) = 0, what is the value of x?

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Question: If sin(x) = 0, what is the value of x?

Options:

  1. 0
  2. π
  3. 2π
  4. All of the above

Correct Answer: All of the above

Solution: 

sin(x) = 0 at x = nπ, where n is any integer, hence all of the above.

If sin(x) = 0, what is the value of x?

Practice Questions

Q1
If sin(x) = 0, what is the value of x?
  1. 0
  2. π
  3. 2π
  4. All of the above

Questions & Step-by-Step Solutions

If sin(x) = 0, what is the value of x?
  • Step 1: Understand that sin(x) is a trigonometric function that gives the sine of an angle x.
  • Step 2: Know that sin(x) equals 0 at specific points on the unit circle.
  • Step 3: Identify the angles where sin(x) = 0. These angles occur at 0, π, 2π, -π, -2π, etc.
  • Step 4: Recognize that these angles can be expressed as nπ, where n is any integer (like 0, 1, -1, 2, -2, etc.).
  • Step 5: Conclude that the general solution for sin(x) = 0 is x = nπ.
  • Trigonometric Functions – Understanding the properties of the sine function and its zeros.
  • Periodic Functions – Recognizing that sine is a periodic function with a period of 2π.
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