sinh

constexpr Complex sinh(const Complex &z) noexcept

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

Parameters

const Complex &z

A complex number.

Returns

type Complex

A complex number.

The sinh function of a complex number is defined as:

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

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

Example

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

Output:

-6.54812 - 7.61923j

References