Function

`nerdamer.arcsin`

nerdamer.arcsin(x: ExpressionInput): Expression

Computes the arcsine (inverse sine) of an expression. Returns exact symbolic values involving π for well-known inputs:

`0 → 0`

`1/2 → π/6`

`1/√2 → π/4`

`√3/2 → π/3`

`1 → π/2`

. Uses the identity

`asin(-x) = -asin(x)`

for negative arguments. For numeric inputs outside

`[-1, 1]`

, returns a complex result.

throws

UndefinedError If

`x`

`±∞`

Parameters

Name	Type	Description
`x`	`ExpressionInput`	The input expression (domain `[-1, 1]` for real results).

Returns

Expression — The arcsine of `x` in radians.

Examples

asin(0).text()                    // "0"
asin(1).text()                    // "1/2*pi"
asin('1/2').text()                // "1/6*pi"
asin('sqrt(2)^(-1)').text()       // "1/4*pi"

// Symbolic
asin('x').text()                  // "asin(x)"