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

Practice Questions

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

Questions & Step-by-Step Solutions

If x = sin^(-1)(1/2), then the value of cos(x) is:
  • 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 the unit circle or common angles. The angle x that has a sine of 1/2 is π/6 (or 30 degrees).
  • Step 3: Now that we have x = π/6, we need to find cos(x).
  • Step 4: Use the cosine value for the angle π/6. The cosine of π/6 is √3/2.
  • Step 5: Therefore, the value of cos(x) is √3/2.
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