sin

constexpr Complex sin(const Complex &z) noexcept

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

Parameters

const Complex &z

A complex number.

Returns

type Complex

A complex number.

The sin function of a complex number is defined as:

\[\sin z = \sin x \cosh y + i\cos x \sinh y\]

for \(\Re(z) = x\) and \(\Im(z) = y\).

Example

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

Output:

3.85374 - 27.0168j

References