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What is the value of cos^(-1)(0)?

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Question: What is the value of cos^(-1)(0)?

Options:

  1. 0
  2. π/2
  3. π
  4. 1

Correct Answer: π

Solution: 

cos^(-1)(0) corresponds to the angle where the cosine value is 0, which is π.

What is the value of cos^(-1)(0)?

Practice Questions

Q1
What is the value of cos^(-1)(0)?
  1. 0
  2. π/2
  3. π
  4. 1

Questions & Step-by-Step Solutions

What is the value of cos^(-1)(0)?
Correct Answer: π
  • Step 1: Understand what cos^(-1)(0) means. It is asking for the angle whose cosine value is 0.
  • Step 2: Recall the unit circle, which helps us understand the values of cosine for different angles.
  • Step 3: Identify the angles where the cosine value is 0. These angles are π/2 (90 degrees) and 3π/2 (270 degrees).
  • Step 4: The function cos^(-1) (also known as arccos) gives us the principal value, which is the angle in the range of 0 to π.
  • Step 5: Since π/2 is within the range of 0 to π and has a cosine value of 0, we conclude that cos^(-1)(0) = π/2.
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