asin

Inverse sine in radians

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Syntax

Y = asin(X)

Description

example

Y = asin(X) returns the Inverse Sine (sin-1) of the elements of X in radians. The function accepts both real and complex inputs.

  • For real values of X in the interval [-1, 1], asin(X) returns values in the interval [-π/2, π/2].

  • For real values of X outside the interval [-1, 1] and for complex values of X, asin(X) returns complex values.

Examples

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Open Live Script

Find the inverse sine of a value.

y = asin(1)
y = 1.5708
Open Live Script

Find the inverse sine of the elements of vector x. The asin function acts on x element-wise. 

x = [0.5i 1+3i -2.2+i];
y = asin(x)
y = 1×3 complex

   0.0000 + 0.4812i   0.3076 + 1.8642i  -1.1091 + 1.5480i
Open Live Script

Plot the inverse sine function over the intervals -1≤x≤1.

x = -1:.01:1; 
plot(x,asin(x))
grid on

Input Arguments

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Sine of angle, specified as a scalar, vector, matrix, or multidimensional array. The asin operation is element-wise when X is nonscalar.

Data Types: single | double
Complex Number Support: Yes

More About

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Inverse Sine

The inverse sine is defined as

sin−1(z)=−ilog[iz+(1−z2)1/2].

Extended Capabilities

See Also

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Introduced in R2006a

MATLAB Documentation

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