Calculadora de Arco Tangente
- Created by
- Renato Passos, Eng. de Software
- Reviewed by
- Renato Passos, Eng. de Software
Last updated: Apr 18, 2026
Formula
ângulo = arctan(valor) × 180/π
About this calculator
The arctangent calculator determines the angle whose tangent equals the input value. Given a real number, it returns the angle in degrees, ranging between -90 and 90 degrees (exclusive). The formula used is: angle = arctan(value) × (180/π). The result is displayed with two decimal places for easy reading.
This tool is useful in various fields such as engineering, physics, and applied mathematics. For example, when calculating the slope of a ramp, knowing the tangent (height/base), the arctangent provides the angle of inclination. It is also used in navigation, robotics, and signal processing to determine directions or phases.
When using the calculator, remember that the input value must be a real number. The result in degrees is always an angle in the range (-90°, 90°). For very large or small values, the angle approaches ±90°. Verify that the unit of the result meets your needs; this calculator provides degrees, not radians.
Be careful with interpretation: the arctangent returns the principal angle. If you need an angle in another quadrant, you should consider the two-parameter arctangent function (atan2). This simple calculator does not handle quadrants; for angles outside the range (-90°, 90°), manual adjustments are necessary.
Frequently asked questions
What is arctangent?
Arctangent is the inverse function of tangent. Given a value, it returns the angle whose tangent equals that value.
What is the difference between arctan and atan2?
Arctan returns an angle between -90° and 90° based only on the quotient y/x. Atan2 considers the signs of x and y, returning angles in all four quadrants (-180° to 180°).
Can I get the result in radians?
This calculator provides only degrees. To convert to radians, multiply the result by π/180.
What happens if I enter a very large value?
For very large values (positive or negative), the angle approaches 90° or -90°, respectively.
What is arctangent used for in everyday life?
It is used to calculate angles of inclination, such as in ramps, roofs, or in determining directions in navigation and robotics.