ASIN (Transact-SQL)

Article
05/23/2023

Applies to: SQL Server Azure SQL Database Azure SQL Managed Instance Azure Synapse Analytics Analytics Platform System (PDW) SQL analytics endpoint in Microsoft Fabric Warehouse in Microsoft Fabric

A function that returns the angle, in radians, whose sine is the specified float expression. This is also called arcsine.

Transact-SQL syntax conventions

Syntax

ASIN ( float_expression )

Note

To view Transact-SQL syntax for SQL Server 2014 (12.x) and earlier versions, see Previous versions documentation.

Arguments

float_expression
An expression of either type float or of a type that can implicitly convert to float. Only a value ranging from -1.00 to 1.00 is valid. For values outside this range, no value is returned, and ASIN will report a domain error.

Return types

float

Examples

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

/* The first value will be -1.01. This fails because the value is   
outside the range.*/  
DECLARE @angle FLOAT  
SET @angle = -1.01  
SELECT 'The ASIN of the angle is: ' + CONVERT(VARCHAR, ASIN(@angle))  
GO  
  
-- The next value is -1.00.  
DECLARE @angle FLOAT  
SET @angle = -1.00  
SELECT 'The ASIN of the angle is: ' + CONVERT(VARCHAR, ASIN(@angle))  
GO  
  
-- The next value is 0.1472738.  
DECLARE @angle FLOAT  
SET @angle = 0.1472738  
SELECT 'The ASIN of the angle is: ' + CONVERT(VARCHAR, ASIN(@angle))  
GO

Here is the result set.

-------------------------  
.Net SqlClient Data Provider: Msg 3622, Level 16, State 1, Line 3  
A domain error occurred.  
  
---------------------------------   
The ASIN of the angle is: -1.5708                          
  
(1 row(s) affected)  
  
----------------------------------   
The ASIN of the angle is: 0.147811                         
  
(1 row(s) affected)

Examples: Azure Synapse Analytics and Analytics Platform System (PDW)

This example returns the arcsine of 1.00.

SELECT ASIN(1.00) AS asinCalc;

This example returns an error, because it requests the arcsine for a value outside the allowed range.

SELECT ASIN(1.1472738) AS asinCalc;