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What is the value of sin^(-1)(1/2)?

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Question: What is the value of sin^(-1)(1/2)?

Options:

  1. π/6
  2. π/4
  3. π/3
  4. π/2

Correct Answer: π/6

Solution: 

sin^(-1)(1/2) = π/6, since sin(π/6) = 1/2.

What is the value of sin^(-1)(1/2)?

Practice Questions

Q1
What is the value of sin^(-1)(1/2)?
  1. π/6
  2. π/4
  3. π/3
  4. π/2

Questions & Step-by-Step Solutions

What is the value of sin^(-1)(1/2)?
Correct Answer: π/6
  • Step 1: Understand what sin^(-1)(1/2) means. It is asking for the angle whose sine value is 1/2.
  • Step 2: Recall the sine values of common angles. One of the angles is π/6 (or 30 degrees).
  • Step 3: Check if sin(π/6) equals 1/2. Yes, it does because sin(π/6) = 1/2.
  • Step 4: Conclude that sin^(-1)(1/2) is equal to π/6.
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