If tan^(-1)(x) = π/4, then the value of x is:

Practice Questions

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

Questions & Step-by-Step Solutions

If tan^(-1)(x) = π/4, then the value of x is:
  • Step 1: Understand that tan^(-1)(x) means the angle whose tangent is x.
  • Step 2: The equation tan^(-1)(x) = π/4 tells us that the angle is π/4 radians.
  • Step 3: Recall the value of tangent at π/4. We know that tan(π/4) = 1.
  • Step 4: Since tan^(-1)(x) = π/4, we can say that x must equal tan(π/4).
  • Step 5: Therefore, x = 1.
  • Inverse Trigonometric Functions – Understanding the relationship between angles and their corresponding tangent values.
  • Tangent Function – Knowing the value of the tangent function at specific angles, particularly π/4.
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