Arctan Calculator
Calculate the inverse tangent (arctan) of a value.
How to Use
- Enter any real number.
- Click 'Calculate' to find the inverse tangent (arctan) of the value.
- The result will be displayed in both degrees and radians.
- Click 'Clear' to reset the calculator.
About Arctangent (arctan)
In trigonometry, the arctangent is the inverse function of the tangent function. It calculates the angle whose tangent is a given number.
Domain and Range
The domain (input) of arctan(x) is all real numbers (-∞, ∞). The range (output) is (-90°, 90°) or (-π/2, π/2) radians.
Notation
arctan(x) can also be written as tan⁻¹(x) or atan(x).
Common Values
- arctan(0) = 0° (0 rad)
- arctan(1) = 45° (π/4 rad)
- arctan(-1) = -45° (-π/4 rad)
- As x approaches ∞, arctan(x) approaches 90° (π/2 rad)
- As x approaches -∞, arctan(x) approaches -90° (-π/2 rad)
Applications
- Converting rectangular coordinates (x,y) to polar coordinates (r,θ)
- Calculating the angle of elevation or depression
- Electrical engineering calculations involving phase angles