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The value of tan^(-1)(√3) is:

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Question: The value of tan^(-1)(√3) is:

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 whose tangent is √3, which is π/3.

The value of tan^(-1)(√3) is:

Practice Questions

Q1
The value of tan^(-1)(√3) is:
  1. π/3
  2. π/4
  3. π/6
  4. π/2

Questions & Step-by-Step Solutions

The value of tan^(-1)(√3) is:
  • Step 1: Understand that tan^(-1)(√3) means we are looking for an angle whose tangent value is √3.
  • Step 2: Recall the basic values of tangent for common angles. The tangent of π/3 (or 60 degrees) is √3.
  • Step 3: Therefore, the angle whose tangent is √3 is π/3.
  • Inverse Trigonometric Functions – Understanding how to find angles based on their tangent values.
  • Special Angles in Trigonometry – Recognizing that tan(π/3) = √3 is a key relationship in trigonometry.
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