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

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

Options:

  1. π/4
  2. π/3
  3. π/2
  4. 0

Correct Answer: π/4

Solution: 

tan^(-1)(1) = π/4, since tan(π/4) = 1.

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

Practice Questions

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

Questions & Step-by-Step Solutions

What is the value of tan^(-1)(1)?
Correct Answer: π/4
  • Step 1: Understand what tan^(-1)(1) means. It is asking for the angle whose tangent is 1.
  • Step 2: Recall the definition of tangent. The tangent of an angle in a right triangle is the ratio of the opposite side to the adjacent side.
  • Step 3: Identify the angle where the tangent equals 1. This occurs when the opposite and adjacent sides are equal.
  • Step 4: Recognize that the angle π/4 (or 45 degrees) has equal opposite and adjacent sides, making tan(π/4) = 1.
  • Step 5: Conclude that tan^(-1)(1) = π/4 because it is the angle whose tangent is 1.
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