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What is the value of tan^(-1)(1) + tan^(-1)(1)?

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

Options:

  1. π/2
  2. π
  3. 0
  4. 1

Correct Answer: π/2

Solution: 

tan^(-1)(1) = π/4, thus tan^(-1)(1) + tan^(-1)(1) = π/4 + π/4 = π/2.

What is the value of tan^(-1)(1) + tan^(-1)(1)?

Practice Questions

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

Questions & Step-by-Step Solutions

What is the value of tan^(-1)(1) + tan^(-1)(1)?
Correct Answer: π/2
  • Step 1: Understand that tan^(-1)(1) means the angle whose tangent is 1.
  • Step 2: Recall that the angle whose tangent is 1 is π/4 (or 45 degrees).
  • Step 3: Since we have tan^(-1)(1) + tan^(-1)(1), we can replace each tan^(-1)(1) with π/4.
  • Step 4: Now, we add π/4 + π/4.
  • Step 5: Adding π/4 + π/4 gives us 2 * (π/4) = π/2.
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