If sin A = 1/2, what is the value of A in radians?

Practice Questions

Q1
If sin A = 1/2, what is the value of A in radians?
  1. π/6
  2. π/4
  3. π/3
  4. π/2

Questions & Step-by-Step Solutions

If sin A = 1/2, what is the value of A in radians?
  • Step 1: Understand that sin A = 1/2 means we are looking for an angle A where the sine value is 1/2.
  • Step 2: Recall the unit circle and the common angles. The sine of an angle is the y-coordinate of the point on the unit circle.
  • Step 3: Identify the angle where the sine value is 1/2. This occurs at π/6 radians (or 30 degrees).
  • Step 4: Confirm that there are other angles where sin A = 1/2, but the question asks for the value of A in radians, so we focus on the principal value.
  • Step 5: Conclude that the value of A is π/6 radians.
  • Trigonometric Functions – Understanding the values of sine for common angles in the unit circle.
  • Inverse Trigonometric Functions – Using the inverse sine function to find angles corresponding to specific sine values.
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