Arcversine

Compute the inverse versed sine.

The inverse versed sine is defined as

a v e r s i n left-parenthesis theta right-parenthesis equals arc cosine left-parenthesis 1 minus theta right-parenthesis

Usage

var aversin = require( '@stdlib/math/base/special/aversin' );

aversin( x )

Computes the inverse versed sine.

var v = aversin( 0.0 );
// returns 0.0

v = aversin( Math.PI/2.0 );
// returns ~2.1783

v = aversin( Math.PI/6.0 );
// returns ~1.0742

If x < 0, x > 2, or x is NaN, the function returns NaN.

var v = aversin( -1.0 );
// returns NaN

v = aversin( 3.14 );
// returns NaN

v = aversin( NaN );
// returns NaN

Examples

var linspace = require( '@stdlib/math/utils/linspace' );
var aversin = require( '@stdlib/math/base/special/aversin' );

var x = linspace( 0.0, 2.0, 100 );
var i;

for ( i = 0; i < x.length; i++ ) {
    console.log( aversin( x[ i ] ) );
}