ArcTan.md

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