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

Practice Questions

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

Questions & Step-by-Step Solutions

If x = sin^(-1)(1/2), what is the value of cos(x)?
Correct Answer: √3/2
  • Step 1: Understand that sin^(-1)(1/2) means we are looking for an angle x whose sine value is 1/2.
  • Step 2: Recall that the angle x = π/6 (or 30 degrees) has a sine value of 1/2.
  • Step 3: Now that we know x = π/6, we need to find cos(x).
  • Step 4: Use the cosine value for the angle π/6, which is √3/2.
  • Step 5: Therefore, cos(x) = √3/2.
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