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

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

Options:

  1. 0
  2. π
  3. π/2
  4. 2π

Correct Answer: π

Solution: 

cos^(-1)(-1) = π, since cos(π) = -1.

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

Practice Questions

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

Questions & Step-by-Step Solutions

What is the value of cos^(-1)(-1)?
Correct Answer: π
  • Step 1: Understand what cos^(-1)(-1) means. It is asking for the angle whose cosine value is -1.
  • Step 2: Recall the unit circle, which helps us understand the values of cosine for different angles.
  • Step 3: Identify the angle where the cosine value is -1. This occurs at π radians (or 180 degrees).
  • Step 4: Conclude that cos^(-1)(-1) = π because cos(π) = -1.
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