Cotangent.php

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<?php

namespace PhpOffice\PhpSpreadsheet\Calculation\MathTrig\Trig;

use PhpOffice\PhpSpreadsheet\Calculation\Exception;
use PhpOffice\PhpSpreadsheet\Calculation\MathTrig\Helpers;

class Cotangent
{
    public static function cot($angle)
    {
        try {
            $angle = Helpers::validateNumericNullBool($angle);
        } catch (Exception $e) {
            return $e->getMessage();
        }

        return Helpers::verySmallDenominator(cos($angle), sin($angle));
    }

    public static function coth($angle)
    {
        try {
            $angle = Helpers::validateNumericNullBool($angle);
        } catch (Exception $e) {
            return $e->getMessage();
        }

        return Helpers::verySmallDenominator(1.0, tanh($angle));
    }

    public static function acot($number)
    {
        try {
            $number = Helpers::validateNumericNullBool($number);
        } catch (Exception $e) {
            return $e->getMessage();
        }

        return (M_PI / 2) - atan($number);
    }

    public static function acoth($number)
    {
        try {
            $number = Helpers::validateNumericNullBool($number);
        } catch (Exception $e) {
            return $e->getMessage();
        }

        $result = ($number === 1) ? NAN : (log(($number + 1) / ($number - 1)) / 2);

        return Helpers::numberOrNan($result);
    }
}