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Arctan Calculator

Arctan Calculator

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How to Calculate or Solve Arctan (Inverse Tangent)

Arctan, written as tan-1(x) or arctan(x), is the inverse of the tangent function. It returns the angle whose tangent is a given number.

Formula:

arctan(x) = θ where tan(θ) = x

This function gives you the angle θ such that the tangent of that angle equals the number x.

Steps to Solve Arctan:

  1. Input any real number value (positive or negative).
  2. Use a calculator to find the arctangent of the number.
  3. The result is given in radians. Multiply by (180 / π) to convert to degrees.

Example:

To calculate arctan(1):

arctan(1) = π/4 radians = 45°

Key Notes:

  • The range of arctan(x) is from −π/2 to π/2 radians (or −90° to 90°).
  • It accepts any real number as input (unlike arccos/arcsin).
  • It’s useful in right triangle trigonometry and calculus.

Common Arctan Values Table

Value (x) arctan(x) (Radians) arctan(x) (Degrees)
00
1π/445°
√3π/360°
-1-π/4-45°
π/290°
-∞-π/2-90°
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