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What is the value of tan^(-1)(√3)?

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Question: What is the value of tan^(-1)(√3)?

Options:

  1. π/3
  2. π/4
  3. π/6
  4. π/2

Correct Answer: π/3

Solution:

tan^(-1)(√3) corresponds to the angle π/3.

What is the value of tan^(-1)(√3)?

Practice Questions

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

Questions & Step-by-Step Solutions

What is the value of tan^(-1)(√3)?
Correct Answer: π/3
  • Step 1: Understand what tan^(-1) means. It is the inverse tangent function, which gives you an angle whose tangent is a certain value.
  • Step 2: We need to find the angle whose tangent is √3.
  • Step 3: Recall the basic angles in trigonometry. The tangent of π/3 (or 60 degrees) is √3.
  • Step 4: Therefore, tan^(-1)(√3) is equal to the angle π/3.
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