C++ <complex> - asin() Function
The C++ <complex> asin() function returns the complex arc sine of a complex number z. It is a function on complex plane, and has two branch cuts:
- Extends right from 1 along the real axis to ∞, continuous from below.
- Extends left from -1 along the real axis to -∞, continuous from above.
Mathematically, it can be expressed as:
For any z, asin(z) = acos(-z) - 𝜋/2
Syntax
template<class T> complex<T> asin (const complex<T>& z);
Parameters
z |
Specify the complex number. |
Return Value
Returns the complex arc sine of z.
Example:
The example below shows the usage of <complex> asin() function.
#include <iostream> #include <complex> using namespace std; int main (){ complex<double> z1 (2, 2); complex<double> z2 (2, 0); complex<double> z3 (0, 2); //calculate the complex arc sine cout<<"asin(z1): "<<asin(z1)<<"\n"; cout<<"asin(z2): "<<asin(z2)<<"\n"; cout<<"asin(z3): "<<asin(z3)<<"\n"; return 0; }
The output of the above code will be:
asin(z1): (0.754249,1.73432) asin(z2): (1.5708,1.31696) asin(z3): (0,1.44364)
❮ C++ <complex> Library