ArcTan

ArcTan(expr)

returns the arc tangent (inverse tangent) of expr (measured in radians).

ArcTan(expr) will evaluate automatically in the cases Infinity, -Infinity, 0, 1, -1.

See:

• Wikipedia - Inverse trigonometric functions
• Wikipedia - Atan2
• Fungrim - Inverse tangent

Examples

>> ArcTan(1)
Pi/4

>> ArcTan(1.0)
0.7853981633974483

>> ArcTan(-1.0)
-0.7853981633974483

>> ArcTan(1, 1)
Pi/4

>> ArcTan(-1, 1)
3/4*Pi

>> ArcTan(1, -1)
-Pi/4

>> ArcTan(-1, -1)
-3/4*Pi

>> ArcTan(1, 0)
0

>> ArcTan(-1, 0)
Pi

>> ArcTan(0, 1)
Pi/2

>> ArcTan(0, -1)
-Pi/2

Implementation status

• ✅ - full supported

Github

• Implementation of ArcTan

• Rule definitions of ArcTan