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title ATAN (Transact-SQL)
description ATAN (Transact-SQL)
author markingmyname
ms.author maghan
ms.date 07/24/2017
ms.service sql
ms.subservice t-sql
ms.topic reference
ms.custom
ignite-2025
f1_keywords
ATAN_TSQL
ATAN
helpviewer_keywords
arctangent
ATAN function
tangent
dev_langs
TSQL
monikerRange >=aps-pdw-2016 || =azuresqldb-current || =azure-sqldw-latest || >=sql-server-2016 || >=sql-server-linux-2017 || =azuresqldb-mi-current || =fabric || =fabric-sqldb

ATAN (Transact-SQL)

[!INCLUDE sql-asdb-asdbmi-asa-pdw-fabricse-fabricdw-fabricsqldb]

A function that returns the angle, in radians, whose tangent is a specified float expression. This is also called arctangent.

:::image type="icon" source="../../includes/media/topic-link-icon.svg" border="false"::: Transact-SQL syntax conventions

Syntax

ATAN ( float_expression )  

Arguments

float_expression
An expression of either type float or of a type that implicitly convert to float.

Return types

float

Examples

This example takes a float expression and returns the ATAN of the specified angle.

SELECT 'The ATAN of -45.01 is: ' + CONVERT(varchar, ATAN(-45.01))  
SELECT 'The ATAN of -181.01 is: ' + CONVERT(varchar, ATAN(-181.01))  
SELECT 'The ATAN of 0 is: ' + CONVERT(varchar, ATAN(0))  
SELECT 'The ATAN of 0.1472738 is: ' + CONVERT(varchar, ATAN(0.1472738))  
SELECT 'The ATAN of 197.1099392 is: ' + CONVERT(varchar, ATAN(197.1099392))  
GO  

[!INCLUDEssResult]

  
-------------------------------   
The ATAN of -45.01 is: -1.54858                         
  
(1 row(s) affected)  
  
--------------------------------   
The ATAN of -181.01 is: -1.56527                         
  
(1 row(s) affected)  
  
--------------------------------   
The ATAN of 0 is: 0                                
  
(1 row(s) affected)  
  
----------------------------------   
The ATAN of 0.1472738 is: 0.146223                         
  
(1 row(s) affected)  
  
-----------------------------------   
The ATAN of 197.1099392 is: 1.56572                          
  
(1 row(s) affected)  

Examples: [!INCLUDEssazuresynapse-md] and [!INCLUDEssPDW]

This example takes a float expression and returns the arctangent of the specified angle.

SELECT ATAN(45.87) AS atanCalc1,  
    ATAN(-181.01) AS atanCalc2,  
    ATAN(0) AS atanCalc3,  
    ATAN(0.1472738) AS atanCalc4,  
    ATAN(197.1099392) AS atanCalc5;  

[!INCLUDEssResult]

atanCalc1  atanCalc2  atanCalc3  atanCalc4  atanCalc5
---------  ---------  ---------  ---------  ---------
1.55       -1.57       0.00       0.15       1.57

See also

CEILING (Transact-SQL)
Mathematical Functions (Transact-SQL)