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If x = tan^(-1)(1/√3), what is the value of x?

Practice Questions

Q1
If x = tan^(-1)(1/√3), what is the value of x?
  1. π/6
  2. π/4
  3. π/3
  4. 0

Questions & Step-by-Step Solutions

If x = tan^(-1)(1/√3), what is the value of x?
Correct Answer: π/6
  • Step 1: Understand that tan^(-1)(1/√3) means we are looking for an angle x whose tangent is 1/√3.
  • Step 2: Recall the definition of tangent: tan(x) = opposite/adjacent. We need to find an angle where this ratio equals 1/√3.
  • Step 3: Remember common angles in trigonometry. One of the angles is π/6 (or 30 degrees).
  • Step 4: Check if tan(π/6) equals 1/√3. It does, because tan(π/6) = 1/√3.
  • Step 5: Conclude that since tan(x) = 1/√3, then x = π/6.
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