Calculate the inverse tangent (arctan) of a value.
Input Parameter
Resulting Angle
45.00°
Angle in Degrees (°)
The angle whose tangent is the input value.
Angle in Radians (rad)0.7854rad
About this calculator
What is Arctan?
Arctan (or inverse tangent) is the inverse function of tangent. It returns the angle whose tangent is x. Unlike arcsin and arccos, the domain of arctan is all real numbers (-∞, ∞), and the range is (-π/2, π/2).
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Pro Tips
Arctan is defined for any input value, no matter how large.
As x goes to infinity, arctan(x) approaches 90 degrees.
Arctan(1) = 45 degrees.
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Fun Facts
"In programming, `Math.atan2(y, x)` is used more often than `Math.atan(y/x)` because it handles all four quadrants correctly."
"The slope of a line is equal to the tangent of the angle it makes with x-axis. So arctan(slope) gives you the angle!"
"Arctan is used in signals processing to find the phase of a complex signal."
