| Common mathematical functions | |||||||||||||||||||||||||||||||
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Defined in header <complex> | ||
template<class T> complex<T> sin(const complex<T>& z); | ||
Computes complex sine of a complex valuez.
Contents |
| z | - | complex value |
If no errors occur, the complex sine ofz is returned.
Errors and special cases are handled as if the operation is implemented by-i* std::sinh(i* z), wherei is the imaginary unit.
The sine is an entire function on the complex plane, and has no branch cuts.
Mathematical definition of the sine issin z =| eiz -e-iz |
| 2i |
#include <cmath>#include <complex>#include <iostream> int main(){std::cout<<std::fixed;std::complex<double> z(1.0,0.0);// behaves like real sine along the real linestd::cout<<"sin"<< z<<" = "<<std::sin(z)<<" ( sin(1) = "<<std::sin(1)<<")\n"; std::complex<double> z2(0.0,1.0);// behaves like sinh along the imaginary linestd::cout<<"sin"<< z2<<" = "<<std::sin(z2)<<" (sinh(1) = "<<std::sinh(1)<<")\n";}
Output:
sin(1.000000,0.000000) = (0.841471,0.000000) ( sin(1) = 0.841471)sin(0.000000,1.000000) = (0.000000,1.175201) (sinh(1) = 1.175201)
| computes cosine of a complex number (\({\small\cos{z}}\)cos(z)) (function template)[edit] | |
| computes tangent of a complex number (\({\small\tan{z}}\)tan(z)) (function template)[edit] | |
(C++11) | computes arc sine of a complex number (\({\small\arcsin{z}}\)arcsin(z)) (function template)[edit] |
(C++11)(C++11) | computes sine (\({\small\sin{x}}\)sin(x)) (function)[edit] |
| applies the functionstd::sin to each element of valarray (function template)[edit] | |
C documentation forcsin | |
