ASIN

Description

Function that returns the arcsine in radians of the number sent as parameter (ASIN in Transact-SQL).

The arcsine is the inverse function of the sine , summarized in the next definition: $y = sin^{-1} \Leftrightarrow x = sin(x)$

For $y = sin^{-1}(x)$: - Range: $-\frac{\pi}{2}\leqslant y \leqslant \frac{\pi}{2}$ or $-90^{\circ}\leqslant y \leqslant 90^{\circ}$ - Domain: $-1\leqslant x \leqslant 1$

Sample Source Pattern

Syntax

ASIN( expression )

Arguments

expression: Numeric float expression, where expression is in$[-1,1]$.

Return Type

Numeric float expression between $-\frac{\pi}{2}$ and $\frac{\pi}{2}$. If the numeric expression sent by parameter is not in $[-1, 1]$, the database engine throws an error.

Examples

Query

SELECT ASIN(0.5);

Result

ASIN(0.5)         |
------------------+
0.5235987755982989|