Math

Arctan Calculator (Inverse Tangent)

Find the angle whose tangent is a given value.

Parameters Live Compute
Calculated Output
Angle (°) 45
Angle (rad) 0.7854
Formula: θ = arctan(x)
Step-by-Step Breakdown
1. Values used:
2. Value = 1
3.
4. Angle = 45°
5. Angle = 0.7854rad
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Arctangent answers 'what angle has this tangent?', returning a value between −90° and 90°.

The math behind it

arctan is the inverse of tangent and accepts any real number, with output in (−90°, 90°).

Worked Example

arctan(1) = 45°.

Frequently Asked Questions

Why no range restriction on the input?

Tangent spans all real numbers, so its inverse accepts any value.

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