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Arctan calculator

Find the principal angle whose tan is x. Results are strictly between −90° and 90°, shown in degrees and radians.

Angle (radians)

0.785398rad
Angle (degrees)
45.000000 °

Formula

θ = arctan(x); tan(θ) = x; degrees = radians × 180/π.

Angle (radians) ≈ atan((1)) · Angle (degrees) ≈ (0.7853981634)×180÷pi

How to use

  1. Enter the ratio x.
  2. Use a finite real value.
  3. Read the principal angle.

Examples

  • arctan(1) = 45°.

Frequently asked questions

What does inverse mean?

It finds an angle from its tan value; it is not 1/tan(x).

Which angle is returned?

The principal angle, strictly between −90° and 90°.

Is the input an angle?

No. x is a unitless tangent ratio.

Sources

Updated:

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