Arctan Calculator
Calculate the inverse tangent (arctan) of any number in degrees or radians with step-by-step calculations. Perfect for trigonometry, engineering, and mathematical calculations.
Calculate Inverse Tangent (arctan)
Common Arctan Calculations
Click on these links to see instant calculations with common values:
Inverse Tangent (Arctan) Calculations
The inverse tangent function (arctan or tan⁻¹) is the inverse of the tangent function. It returns the angle whose tangent is the given number.
Arctan Formula
The arctan function finds the angle when given the tangent value:
Example: If tan(θ) = 1, then θ = arctan(1) = 45° or π/4 radians
Common Arctan Values
| Input | Degrees | Radians | Exact Value |
|---|---|---|---|
| 0 | 0° | 0 | 0 |
| 0.577 | 30° | π/6 | 1/√3 |
| 1 | 45° | π/4 | 1 |
| 1.732 | 60° | π/3 | √3 |
| ∞ | 90° | π/2 | undefined |
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- Mathematics: Trigonometry homework and problem solving
Frequently Asked Questions
What is arctan?
Arctan (inverse tangent) is the inverse function of tangent. It returns the angle whose tangent is the given number. For example, arctan(1) = 45° or π/4 radians.
What is the difference between degrees and radians?
Degrees and radians are two units for measuring angles. A full circle is 360° or 2π radians. To convert: degrees = radians × (180/π), radians = degrees × (π/180).
What is the range of arctan?
The range of arctan is from -90° to 90° (or -π/2 to π/2 radians). This means arctan can return any angle in this range for any real number input.