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Arctan Calculator

Find inverse tangent angle in degrees and radians

Input Value

Arctan Formula

θ = arctan(x), where tan(θ) = x

Arctan reverses the tangent function on its principal range. It turns a slope or opposite-over-adjacent ratio into an angle.

Arctan accepts any real input. The result is the principal angle between -90° and 90°.

How Arctan Works

If tan θ equals x, arctan(x) returns the angle θ. This is especially useful when a slope or side ratio is known.

Inverse Tangent

Arctan reverses tangent.

Input Range

Any real number is allowed.

Output Range

Principal angle is -90° to 90°.

Slope Link

Arctan converts slope to angle.

💡 Example: arctan(1)=45°=0.785398 rad.

Applications of Arctan

SlopesSurveyingNavigationPhysics

Frequently Asked Questions

What is an arctan calculator?
It finds the angle whose tangent equals the input value.
What input values can arctan use?
Arctan accepts any real number.
How do I use this calculator?
Enter a tangent value and click Calculate.
What is the output range of arctan?
The principal output is from -90° to 90°, not including the endpoints.
Where is arctan used?
Arctan is used to find angles from slopes, ratios, navigation, surveying, and physics.

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