asin

constexpr Complex asin(const Complex &z) noexcept

Returns the complex inverse sin [1] of a complex number \(z\).

Parameters

const Complex &z

A complex number.

Returns

type Complex

A complex number.

The inverse sine function of a complex number is defined as:

\[\sin^{-1}z = -i \log(iz + \sqrt{1 - z^2})\]

Example

Complex z = 3 + 4_j;
std::cout << asin(z) << "\n";

Output:

-0.633984 - 2.30551j

References