The arctangent function (arctan or tan⁻¹) is the inverse of the tangent function. Given any real number, it returns the angle whose tangent equals that value. The result is always in the range (-90°, 90°) or (-π/2, π/2) radians.
- Enter any number (positive, negative, or decimal)
- Select DEG to see result in degrees, or RAD for radians
- The angle is calculated automatically
- Both degree and radian values are shown
- Calculate inverse tangent for any real number
- Results in both degrees and radians
- No input restrictions (unlike arcsin/arccos)
- Shows verification: tan(result) = input
- Real-time calculation
- Why can arctan accept any number?
- Because the tangent function can output any real number (from -∞ to +∞), its inverse can accept any real number as input.
- What is arctan(1)?
- arctan(1) = 45° or π/4 radians. This means tan(45°) = 1.
- What happens as input approaches infinity?
- As input → +∞, arctan → 90°. As input → -∞, arctan → -90°. But it never actually reaches ±90°.
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