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If x = tan^(-1)(1), then the value of x is:

Practice Questions

Q1
If x = tan^(-1)(1), then the value of x is:
  1. π/4
  2. π/2
  3. 0
  4. 1

Questions & Step-by-Step Solutions

If x = tan^(-1)(1), then the value of x is:
  • Step 1: Understand that tan^(-1)(1) means we are looking for an angle whose tangent is 1.
  • Step 2: Recall that the tangent of an angle is equal to the opposite side divided by the adjacent side in a right triangle.
  • Step 3: The angle where the tangent is 1 occurs when both the opposite and adjacent sides are equal.
  • Step 4: The angle that satisfies this condition is 45 degrees, which is equivalent to π/4 radians.
  • Step 5: Therefore, if x = tan^(-1)(1), then x = π/4.
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