asin

Use the asin function in APL to compute the arc sine (inverse sine) of a numeric expression. The function returns the angle, in radians, whose sine equals the input value. The input must be in the range [-1, 1]; values outside this range return null.

asin is useful when you work with normalized ratios or rates and need to map them to angular values. For example, you can use asin to encode success or error rates as phase angles for cyclic signal analysis.

Usage

Syntax

asin(x)

Parameters

Returns

• The arc sine of x in radians, in the range [-π/2, π/2].
• null if x < -1 or x > 1.

Example

Use asin to compute the arcsine of a value and return the angle in radians.

Query

print result = asin(0.5)

Output

List of related functions

• acos: Returns the arc cosine. Use it when the cosine encoding is more appropriate for your data.
• atan: Returns the arc tangent. Use it when the input isn't bounded to [-1, 1].
• sin: Returns the sine. Use it to apply the forward transformation before using asin as the inverse.
• radians: Converts degrees to radians. Use it if your angle data is in degrees before passing it to asin.
• degrees: Converts radians to degrees. Use it to convert the asin result into degrees.

Other query languages