std:: cos (std::complex)
From cppreference.net
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Defined in header
<complex>
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template
<
class
T
>
complex < T > cos ( const complex < T > & z ) ; |
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Computes complex cosine of a complex value z .
Contents |
Parameters
| z | - | complex value |
Return value
If no errors occur, the complex cosine of z is returned.
Errors and special cases are handled as if the operation is implemented by
std::cosh
(i * z)
, where
i
is the imaginary unit.
Notes
The cosine is an entire function on the complex plane, and has no branch cuts.
Mathematical definition of the cosine is cos z =|
e
iz
+e -iz |
| 2 |
Example
Run this code
#include <cmath> #include <complex> #include <iostream> int main() { std::cout << std::fixed; std::complex<double> z(1.0, 0.0); // behaves like real cosine along the real line std::cout << "cos" << z << " = " << std::cos(z) << " ( cos(1) = " << std::cos(1) << ")\n"; std::complex<double> z2(0.0, 1.0); // behaves like real cosh along the imaginary line std::cout << "cos" << z2 << " = " << std::cos(z2) << " (cosh(1) = " << std::cosh(1) << ")\n"; }
Output:
cos(1.000000,0.000000) = (0.540302,-0.000000) ( cos(1) = 0.540302) cos(0.000000,1.000000) = (1.543081,-0.000000) (cosh(1) = 1.543081)
See also
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computes sine of a complex number (
sin(z)
)
(function template) |
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computes tangent of a complex number (
tan(z)
)
(function template) |
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(C++11)
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computes arc cosine of a complex number (
arccos(z)
)
(function template) |
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(C++11)
(C++11)
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computes cosine (
cos(x)
)
(function) |
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applies the function
std::cos
to each element of valarray
(function template) |
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C documentation
for
ccos
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