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asin

Inverse sine in radians

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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Find the inverse sine of a value.

y = asin(1)
y = 1.5708

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

Plot the inverse sine function over the intervals $-1\le x\le 1$.

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

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Inverse Sine

The inverse sine is defined as

${\mathrm{sin}}^{-1}\left(z\right)=-i\mathrm{log}\left[iz+{\left(1-{z}^{2}\right)}^{1/2}\right].$