Kosinus kąta jest jedną z funkcji trygonometrycznych. Jest to stosunek przyprostokątnej kąta prostego do przeciwprostokątnej. Zapisywane jest to w następujący sposób: cos (A) = AC/AB, gdzie AC – przyprostokątna kąta (A), AB – przeciwprostokątna.
Dlaczego konieczne jest wykonywanie tak skomplikowanych obliczeń na pierwszy rzut oka? Od czasów starożytnych znana jest aksjoma: Znam kąt – znam jego funkcję trygonometryczną. Odpowiednio, jeśli cos kąt jest znany, można go znaleźć w tabelach Bradisa. Odwrotnie, – znając kąt, łatwo jest obliczyć kosinus. Z tego można znaleźć następujące dane: długość przyprostokątnych i przeciwprostokątnej.
Te dane są używane nie tylko w czystych obliczeniach matematycznych. Nie można narysować nawet elementarnego planu terenu bez znajomości funkcji trygonometrycznych. Korzystając z kalkulatora online, zadanie można uprościć, a wymagane dane można uzyskać w ułamkach sekundy.
Tabela kosinusów od 0° - 360°
| Cos(1°) | 0.9998 | | Cos(2°) | 0.9994 | | Cos(3°) | 0.9986 | | Cos(4°) | 0.9976 | | Cos(5°) | 0.9962 | | Cos(6°) | 0.9945 | | Cos(7°) | 0.9925 | | Cos(8°) | 0.9903 | | Cos(9°) | 0.9877 | | Cos(10°) | 0.9848 | | Cos(11°) | 0.9816 | | Cos(12°) | 0.9781 | | Cos(13°) | 0.9744 | | Cos(14°) | 0.9703 | | Cos(15°) | 0.9659 | | Cos(16°) | 0.9613 | | Cos(17°) | 0.9563 | | Cos(18°) | 0.9511 | | Cos(19°) | 0.9455 | | Cos(20°) | 0.9397 | | Cos(21°) | 0.9336 | | Cos(22°) | 0.9272 | | Cos(23°) | 0.9205 | | Cos(24°) | 0.9135 | | Cos(25°) | 0.9063 | | Cos(26°) | 0.8988 | | Cos(27°) | 0.891 | | Cos(28°) | 0.8829 | | Cos(29°) | 0.8746 | | Cos(30°) | 0.866 | | Cos(31°) | 0.8572 | | Cos(32°) | 0.848 | | Cos(33°) | 0.8387 | | Cos(34°) | 0.829 | | Cos(35°) | 0.8192 | | Cos(36°) | 0.809 |
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| Cos(37°) | 0.7986 | | Cos(38°) | 0.788 | | Cos(39°) | 0.7771 | | Cos(40°) | 0.766 | | Cos(41°) | 0.7547 | | Cos(42°) | 0.7431 | | Cos(43°) | 0.7314 | | Cos(44°) | 0.7193 | | Cos(45°) | 0.7071 | | Cos(46°) | 0.6947 | | Cos(47°) | 0.682 | | Cos(48°) | 0.6691 | | Cos(49°) | 0.6561 | | Cos(50°) | 0.6428 | | Cos(51°) | 0.6293 | | Cos(52°) | 0.6157 | | Cos(53°) | 0.6018 | | Cos(54°) | 0.5878 | | Cos(55°) | 0.5736 | | Cos(56°) | 0.5592 | | Cos(57°) | 0.5446 | | Cos(58°) | 0.5299 | | Cos(59°) | 0.515 | | Cos(60°) | 0.5 | | Cos(61°) | 0.4848 | | Cos(62°) | 0.4695 | | Cos(63°) | 0.454 | | Cos(64°) | 0.4384 | | Cos(65°) | 0.4226 | | Cos(66°) | 0.4067 | | Cos(67°) | 0.3907 | | Cos(68°) | 0.3746 | | Cos(69°) | 0.3584 | | Cos(70°) | 0.342 | | Cos(71°) | 0.3256 | | Cos(72°) | 0.309 |
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| Cos(73°) | 0.2924 | | Cos(74°) | 0.2756 | | Cos(75°) | 0.2588 | | Cos(76°) | 0.2419 | | Cos(77°) | 0.225 | | Cos(78°) | 0.2079 | | Cos(79°) | 0.1908 | | Cos(80°) | 0.1736 | | Cos(81°) | 0.1564 | | Cos(82°) | 0.1392 | | Cos(83°) | 0.1219 | | Cos(84°) | 0.1045 | | Cos(85°) | 0.0872 | | Cos(86°) | 0.0698 | | Cos(87°) | 0.0523 | | Cos(88°) | 0.0349 | | Cos(89°) | 0.0175 | | Cos(90°) | 0 | | Cos(91°) | -0.0175 | | Cos(92°) | -0.0349 | | Cos(93°) | -0.0523 | | Cos(94°) | -0.0698 | | Cos(95°) | -0.0872 | | Cos(96°) | -0.1045 | | Cos(97°) | -0.1219 | | Cos(98°) | -0.1392 | | Cos(99°) | -0.1564 | | Cos(100°) | -0.1736 | | Cos(101°) | -0.1908 | | Cos(102°) | -0.2079 | | Cos(103°) | -0.225 | | Cos(104°) | -0.2419 | | Cos(105°) | -0.2588 | | Cos(106°) | -0.2756 | | Cos(107°) | -0.2924 | | Cos(108°) | -0.309 |
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| Cos(109°) | -0.3256 | | Cos(110°) | -0.342 | | Cos(111°) | -0.3584 | | Cos(112°) | -0.3746 | | Cos(113°) | -0.3907 | | Cos(114°) | -0.4067 | | Cos(115°) | -0.4226 | | Cos(116°) | -0.4384 | | Cos(117°) | -0.454 | | Cos(118°) | -0.4695 | | Cos(119°) | -0.4848 | | Cos(120°) | -0.5 | | Cos(121°) | -0.515 | | Cos(122°) | -0.5299 | | Cos(123°) | -0.5446 | | Cos(124°) | -0.5592 | | Cos(125°) | -0.5736 | | Cos(126°) | -0.5878 | | Cos(127°) | -0.6018 | | Cos(128°) | -0.6157 | | Cos(129°) | -0.6293 | | Cos(130°) | -0.6428 | | Cos(131°) | -0.6561 | | Cos(132°) | -0.6691 | | Cos(133°) | -0.682 | | Cos(134°) | -0.6947 | | Cos(135°) | -0.7071 | | Cos(136°) | -0.7193 | | Cos(137°) | -0.7314 | | Cos(138°) | -0.7431 | | Cos(139°) | -0.7547 | | Cos(140°) | -0.766 | | Cos(141°) | -0.7771 | | Cos(142°) | -0.788 | | Cos(143°) | -0.7986 | | Cos(144°) | -0.809 |
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| Cos(145°) | -0.8192 | | Cos(146°) | -0.829 | | Cos(147°) | -0.8387 | | Cos(148°) | -0.848 | | Cos(149°) | -0.8572 | | Cos(150°) | -0.866 | | Cos(151°) | -0.8746 | | Cos(152°) | -0.8829 | | Cos(153°) | -0.891 | | Cos(154°) | -0.8988 | | Cos(155°) | -0.9063 | | Cos(156°) | -0.9135 | | Cos(157°) | -0.9205 | | Cos(158°) | -0.9272 | | Cos(159°) | -0.9336 | | Cos(160°) | -0.9397 | | Cos(161°) | -0.9455 | | Cos(162°) | -0.9511 | | Cos(163°) | -0.9563 | | Cos(164°) | -0.9613 | | Cos(165°) | -0.9659 | | Cos(166°) | -0.9703 | | Cos(167°) | -0.9744 | | Cos(168°) | -0.9781 | | Cos(169°) | -0.9816 | | Cos(170°) | -0.9848 | | Cos(171°) | -0.9877 | | Cos(172°) | -0.9903 | | Cos(173°) | -0.9925 | | Cos(174°) | -0.9945 | | Cos(175°) | -0.9962 | | Cos(176°) | -0.9976 | | Cos(177°) | -0.9986 | | Cos(178°) | -0.9994 | | Cos(179°) | -0.9998 | | Cos(180°) | -1 |
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| Cos(181°) | -0.9998 | | Cos(182°) | -0.9994 | | Cos(183°) | -0.9986 | | Cos(184°) | -0.9976 | | Cos(185°) | -0.9962 | | Cos(186°) | -0.9945 | | Cos(187°) | -0.9925 | | Cos(188°) | -0.9903 | | Cos(189°) | -0.9877 | | Cos(190°) | -0.9848 | | Cos(191°) | -0.9816 | | Cos(192°) | -0.9781 | | Cos(193°) | -0.9744 | | Cos(194°) | -0.9703 | | Cos(195°) | -0.9659 | | Cos(196°) | -0.9613 | | Cos(197°) | -0.9563 | | Cos(198°) | -0.9511 | | Cos(199°) | -0.9455 | | Cos(200°) | -0.9397 | | Cos(201°) | -0.9336 | | Cos(202°) | -0.9272 | | Cos(203°) | -0.9205 | | Cos(204°) | -0.9135 | | Cos(205°) | -0.9063 | | Cos(206°) | -0.8988 | | Cos(207°) | -0.891 | | Cos(208°) | -0.8829 | | Cos(209°) | -0.8746 | | Cos(210°) | -0.866 | | Cos(211°) | -0.8572 | | Cos(212°) | -0.848 | | Cos(213°) | -0.8387 | | Cos(214°) | -0.829 | | Cos(215°) | -0.8192 | | Cos(216°) | -0.809 |
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| Cos(217°) | -0.7986 | | Cos(218°) | -0.788 | | Cos(219°) | -0.7771 | | Cos(220°) | -0.766 | | Cos(221°) | -0.7547 | | Cos(222°) | -0.7431 | | Cos(223°) | -0.7314 | | Cos(224°) | -0.7193 | | Cos(225°) | -0.7071 | | Cos(226°) | -0.6947 | | Cos(227°) | -0.682 | | Cos(228°) | -0.6691 | | Cos(229°) | -0.6561 | | Cos(230°) | -0.6428 | | Cos(231°) | -0.6293 | | Cos(232°) | -0.6157 | | Cos(233°) | -0.6018 | | Cos(234°) | -0.5878 | | Cos(235°) | -0.5736 | | Cos(236°) | -0.5592 | | Cos(237°) | -0.5446 | | Cos(238°) | -0.5299 | | Cos(239°) | -0.515 | | Cos(240°) | -0.5 | | Cos(241°) | -0.4848 | | Cos(242°) | -0.4695 | | Cos(243°) | -0.454 | | Cos(244°) | -0.4384 | | Cos(245°) | -0.4226 | | Cos(246°) | -0.4067 | | Cos(247°) | -0.3907 | | Cos(248°) | -0.3746 | | Cos(249°) | -0.3584 | | Cos(250°) | -0.342 | | Cos(251°) | -0.3256 | | Cos(252°) | -0.309 |
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| Cos(253°) | -0.2924 | | Cos(254°) | -0.2756 | | Cos(255°) | -0.2588 | | Cos(256°) | -0.2419 | | Cos(257°) | -0.225 | | Cos(258°) | -0.2079 | | Cos(259°) | -0.1908 | | Cos(260°) | -0.1736 | | Cos(261°) | -0.1564 | | Cos(262°) | -0.1392 | | Cos(263°) | -0.1219 | | Cos(264°) | -0.1045 | | Cos(265°) | -0.0872 | | Cos(266°) | -0.0698 | | Cos(267°) | -0.0523 | | Cos(268°) | -0.0349 | | Cos(269°) | -0.0175 | | Cos(270°) | -0 | | Cos(271°) | 0.0175 | | Cos(272°) | 0.0349 | | Cos(273°) | 0.0523 | | Cos(274°) | 0.0698 | | Cos(275°) | 0.0872 | | Cos(276°) | 0.1045 | | Cos(277°) | 0.1219 | | Cos(278°) | 0.1392 | | Cos(279°) | 0.1564 | | Cos(280°) | 0.1736 | | Cos(281°) | 0.1908 | | Cos(282°) | 0.2079 | | Cos(283°) | 0.225 | | Cos(284°) | 0.2419 | | Cos(285°) | 0.2588 | | Cos(286°) | 0.2756 | | Cos(287°) | 0.2924 | | Cos(288°) | 0.309 |
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| Cos(289°) | 0.3256 | | Cos(290°) | 0.342 | | Cos(291°) | 0.3584 | | Cos(292°) | 0.3746 | | Cos(293°) | 0.3907 | | Cos(294°) | 0.4067 | | Cos(295°) | 0.4226 | | Cos(296°) | 0.4384 | | Cos(297°) | 0.454 | | Cos(298°) | 0.4695 | | Cos(299°) | 0.4848 | | Cos(300°) | 0.5 | | Cos(301°) | 0.515 | | Cos(302°) | 0.5299 | | Cos(303°) | 0.5446 | | Cos(304°) | 0.5592 | | Cos(305°) | 0.5736 | | Cos(306°) | 0.5878 | | Cos(307°) | 0.6018 | | Cos(308°) | 0.6157 | | Cos(309°) | 0.6293 | | Cos(310°) | 0.6428 | | Cos(311°) | 0.6561 | | Cos(312°) | 0.6691 | | Cos(313°) | 0.682 | | Cos(314°) | 0.6947 | | Cos(315°) | 0.7071 | | Cos(316°) | 0.7193 | | Cos(317°) | 0.7314 | | Cos(318°) | 0.7431 | | Cos(319°) | 0.7547 | | Cos(320°) | 0.766 | | Cos(321°) | 0.7771 | | Cos(322°) | 0.788 | | Cos(323°) | 0.7986 | | Cos(324°) | 0.809 |
|
| Cos(325°) | 0.8192 | | Cos(326°) | 0.829 | | Cos(327°) | 0.8387 | | Cos(328°) | 0.848 | | Cos(329°) | 0.8572 | | Cos(330°) | 0.866 | | Cos(331°) | 0.8746 | | Cos(332°) | 0.8829 | | Cos(333°) | 0.891 | | Cos(334°) | 0.8988 | | Cos(335°) | 0.9063 | | Cos(336°) | 0.9135 | | Cos(337°) | 0.9205 | | Cos(338°) | 0.9272 | | Cos(339°) | 0.9336 | | Cos(340°) | 0.9397 | | Cos(341°) | 0.9455 | | Cos(342°) | 0.9511 | | Cos(343°) | 0.9563 | | Cos(344°) | 0.9613 | | Cos(345°) | 0.9659 | | Cos(346°) | 0.9703 | | Cos(347°) | 0.9744 | | Cos(348°) | 0.9781 | | Cos(349°) | 0.9816 | | Cos(350°) | 0.9848 | | Cos(351°) | 0.9877 | | Cos(352°) | 0.9903 | | Cos(353°) | 0.9925 | | Cos(354°) | 0.9945 | | Cos(355°) | 0.9962 | | Cos(356°) | 0.9976 | | Cos(357°) | 0.9986 | | Cos(358°) | 0.9994 | | Cos(359°) | 0.9998 | | Cos(360°) | 1 |
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