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<?php
/**
*
* Function code for the complex tan() function
*
* @copyright Copyright (c) 2013-2018 Mark Baker (https://github.com/MarkBaker/PHPComplex)
* @license https://opensource.org/licenses/MIT MIT
*/
namespace Complex;
/**
* Returns the tangent of a complex number.
*
* @param Complex|mixed $complex Complex number or a numeric value.
* @return Complex The tangent of the complex argument.
* @throws Exception If argument isn't a valid real or complex number.
* @throws \InvalidArgumentException If function would result in a division by zero
*/
function tan($complex)
{
$complex = Complex::validateComplexArgument($complex);
if ($complex->isReal()) {
return new Complex(\tan($complex->getReal()));
}
$real = $complex->getReal();
$imaginary = $complex->getImaginary();
$divisor = 1 + \pow(\tan($real), 2) * \pow(\tanh($imaginary), 2);
if ($divisor == 0.0) {
throw new \InvalidArgumentException('Division by zero');
}
return new Complex(
\pow(sech($imaginary)->getReal(), 2) * \tan($real) / $divisor,
\pow(sec($real)->getReal(), 2) * \tanh($imaginary) / $divisor,
$complex->getSuffix()
);
}