If x = cos^(-1)(1/2), then what is the value of x?

Practice Questions

Q1
If x = cos^(-1)(1/2), then what is the value of x?
  1. π/3
  2. π/4
  3. π/2
  4. 0

Questions & Step-by-Step Solutions

If x = cos^(-1)(1/2), then what is the value of x?
  • Step 1: Understand that cos^(-1)(1/2) means we are looking for an angle x whose cosine value is 1/2.
  • Step 2: Recall the unit circle or the special angles in trigonometry. The cosine of an angle is equal to the x-coordinate of the point on the unit circle.
  • Step 3: Identify the angle where the cosine value is 1/2. This occurs at 60 degrees or π/3 radians.
  • Step 4: Therefore, we conclude that x = π/3.
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