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

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

Options:

  1. π/3
  2. π/4
  3. π/6
  4. 0

Correct Answer: π/3

Solution: 

sec^(-1)(2) = π/3, since sec(π/3) = 2.

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

Practice Questions

Q1
What is the value of sec^(-1)(2)?
  1. π/3
  2. π/4
  3. π/6
  4. 0

Questions & Step-by-Step Solutions

What is the value of sec^(-1)(2)?
Correct Answer: π/3
  • Step 1: Understand what sec^(-1)(2) means. It is asking for the angle whose secant is 2.
  • Step 2: Recall the definition of secant. Secant is the reciprocal of cosine, so sec(x) = 1/cos(x).
  • Step 3: Set up the equation. If sec(x) = 2, then 1/cos(x) = 2.
  • Step 4: Solve for cos(x). This means cos(x) = 1/2.
  • Step 5: Find the angle x where cos(x) = 1/2. The angle that satisfies this is π/3 (or 60 degrees).
  • Step 6: Therefore, sec^(-1)(2) = π/3.
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