Таблица синусов.
Таблица синусов — это записанные в таблицу посчитанные значения синусов углов от 0° до 360°. Используя таблицу синусов вы сможете провести расчеты даже если под руками не окажется инженерного калькулятора. Чтобы узнать значение синуса от нужного Вам угла достаточно найти его в таблице.
Калькулятор — синус угла
sin(°) = 0
Калькулятор — арксинус угла
arcsin() = 90°
Таблица синусов в радианах
| α | 0 | π6 | π4 | π3 | π2 | π | 3π2 | 2π |
| sin α | 0 | 12 | √22 | √32 | 1 | 0 | -1 | 0 |
Таблица синусов углов от 0° до 180°
| sin(0°) = 0 sin(1°) = 0.017452 sin(2°) = 0.034899 sin(3°) = 0.052336 sin(4°) = 0.069756 sin(5°) = 0.087156 sin(6°) = 0.104528 sin(7°) = 0.121869 sin(8°) = 0.139173 sin(9°) = 0.156434 sin(10°) = 0.173648 sin(11°) = 0.190809 sin(12°) = 0.207912 sin(13°) = 0.224951 sin(14°) = 0.241922 sin(15°) = 0.258819 sin(16°) = 0.275637 sin(17°) = 0.292372 sin(18°) = 0.309017 sin(19°) = 0.325568 sin(20°) = 0.34202 sin(21°) = 0.358368 sin(22°) = 0.374607 sin(23°) = 0.390731 sin(24°) = 0.406737 sin(25°) = 0.422618 sin(26°) = 0.438371 sin(27°) = 0.45399 sin(28°) = 0.469472 sin(29°) = 0.48481 sin(30°) = 0.5 sin(31°) = 0.515038 sin(32°) = 0.529919 sin(33°) = 0.544639 sin(34°) = 0.559193 sin(35°) = 0.573576 sin(36°) = 0.587785 sin(37°) = 0.601815 sin(38°) = 0.615661 sin(39°) = 0.62932 sin(40°) = 0.642788 sin(41°) = 0.656059 sin(42°) = 0.669131 sin(43°) = 0.681998 sin(44°) = 0.694658 sin(45°) = 0.707107 |
sin(46°) = 0.71934 sin(47°) = 0.731354 sin(48°) = 0.743145 sin(49°) = 0.75471 sin(50°) = 0.766044 sin(51°) = 0.777146 sin(52°) = 0.788011 sin(53°) = 0.798636 sin(54°) = 0.809017 sin(55°) = 0.819152 sin(56°) = 0.829038 sin(57°) = 0.838671 sin(58°) = 0.848048 sin(59°) = 0.857167 sin(60°) = 0.866025 sin(61°) = 0.87462 sin(62°) = 0.882948 sin(63°) = 0.891007 sin(64°) = 0.898794 sin(65°) = 0.906308 sin(66°) = 0.913545 sin(67°) = 0.920505 sin(68°) = 0.927184 sin(69°) = 0.93358 sin(70°) = 0.939693 sin(71°) = 0.945519 sin(72°) = 0.951057 sin(73°) = 0.956305 sin(74°) = 0.961262 sin(75°) = 0.965926 sin(76°) = 0.970296 sin(77°) = 0.97437 sin(78°) = 0.978148 sin(79°) = 0.981627 sin(80°) = 0.984808 sin(81°) = 0.987688 sin(82°) = 0.990268 sin(83°) = 0.992546 sin(84°) = 0.994522 sin(85°) = 0.996195 sin(86°) = 0.997564 sin(87°) = 0.99863 sin(88°) = 0.999391 sin(89°) = 0.999848 sin(90°) = 1 |
sin(91°) = 0.999848 sin(92°) = 0.999391 sin(93°) = 0.99863 sin(94°) = 0.997564 sin(95°) = 0.996195 sin(96°) = 0.994522 sin(97°) = 0.992546 sin(98°) = 0.990268 sin(99°) = 0.987688 sin(100°) = 0.984808 sin(101°) = 0.981627 sin(102°) = 0.978148 sin(103°) = 0.97437 sin(104°) = 0.970296 sin(105°) = 0.965926 sin(106°) = 0.961262 sin(107°) = 0.956305 sin(108°) = 0.951057 sin(109°) = 0.945519 sin(110°) = 0.939693 sin(111°) = 0.93358 sin(112°) = 0.927184 sin(113°) = 0.920505 sin(114°) = 0.913545 sin(115°) = 0.906308 sin(116°) = 0.898794 sin(117°) = 0.891007 sin(118°) = 0.882948 sin(119°) = 0.87462 sin(120°) = 0.866025 sin(121°) = 0.857167 sin(122°) = 0.848048 sin(123°) = 0.838671 sin(124°) = 0.829038 sin(125°) = 0.819152 sin(126°) = 0.809017 sin(127°) = 0.798636 sin(128°) = 0.788011 sin(129°) = 0.777146 sin(130°) = 0.766044 sin(131°) = 0.75471 sin(132°) = 0.743145 sin(133°) = 0.731354 sin(134°) = 0.71934 sin(135°) = 0.707107 |
sin(136°) = 0.694658 sin(137°) = 0.681998 sin(138°) = 0.669131 sin(139°) = 0.656059 sin(140°) = 0.642788 sin(141°) = 0.62932 sin(142°) = 0.615661 sin(143°) = 0.601815 sin(144°) = 0.587785 sin(145°) = 0.573576 sin(146°) = 0.559193 sin(147°) = 0.544639 sin(148°) = 0.529919 sin(149°) = 0.515038 sin(150°) = 0.5 sin(151°) = 0.48481 sin(152°) = 0.469472 sin(153°) = 0.45399 sin(154°) = 0.438371 sin(155°) = 0.422618 sin(156°) = 0.406737 sin(157°) = 0.390731 sin(158°) = 0.374607 sin(159°) = 0.358368 sin(160°) = 0.34202 sin(161°) = 0.325568 sin(162°) = 0.309017 sin(163°) = 0.292372 sin(164°) = 0.275637 sin(165°) = 0.258819 sin(166°) = 0.241922 sin(167°) = 0.224951 sin(168°) = 0.207912 sin(169°) = 0.190809 sin(170°) = 0.173648 sin(171°) = 0.156434 sin(172°) = 0.139173 sin(173°) = 0.121869 sin(174°) = 0.104528 sin(175°) = 0.087156 sin(176°) = 0.069756 sin(177°) = 0.052336 sin(178°) = 0.034899 sin(179°) = 0.017452 sin(180°) = 0 |
Таблица синусов углов от 181° до 360°
| sin(181°) = -0.017452 sin(182°) = -0.034899 sin(183°) = -0.052336 sin(184°) = -0.069756 sin(185°) = -0.087156 sin(186°) = -0.104528 sin(187°) = -0.121869 sin(188°) = -0.139173 sin(189°) = -0.156434 sin(190°) = -0.173648 sin(191°) = -0.190809 sin(192°) = -0.207912 sin(193°) = -0.224951 sin(194°) = -0.241922 sin(195°) = -0.258819 sin(196°) = -0.275637 sin(197°) = -0.292372 sin(198°) = -0.309017 sin(199°) = -0.325568 sin(200°) = -0.34202 sin(201°) = -0.358368 sin(202°) = -0.374607 sin(203°) = -0.390731 sin(204°) = -0.406737 sin(205°) = -0.422618 sin(206°) = -0.438371 sin(207°) = -0.45399 sin(208°) = -0.469472 sin(209°) = -0.48481 sin(210°) = -0.5 sin(211°) = -0.515038 sin(212°) = -0.529919 sin(213°) = -0.544639 sin(214°) = -0.559193 sin(215°) = -0.573576 sin(216°) = -0.587785 sin(217°) = -0.601815 sin(218°) = -0.615661 sin(219°) = -0.62932 sin(220°) = -0.642788 sin(221°) = -0.656059 sin(222°) = -0.669131 sin(223°) = -0.681998 sin(224°) = -0.694658 sin(225°) = -0.707107 |
sin(226°) = -0.71934 sin(227°) = -0.731354 sin(228°) = -0.743145 sin(229°) = -0.75471 sin(230°) = -0.766044 sin(231°) = -0.777146 sin(232°) = -0.788011 sin(233°) = -0.798636 sin(234°) = -0.809017 sin(235°) = -0.819152 sin(236°) = -0.829038 sin(237°) = -0.838671 sin(238°) = -0.848048 sin(239°) = -0.857167 sin(240°) = -0.866025 sin(241°) = -0.87462 sin(242°) = -0.882948 sin(243°) = -0.891007 sin(244°) = -0.898794 sin(245°) = -0.906308 sin(246°) = -0.913545 sin(247°) = -0.920505 sin(248°) = -0.927184 sin(249°) = -0.93358 sin(250°) = -0.939693 sin(251°) = -0.945519 sin(252°) = -0.951057 sin(253°) = -0.956305 sin(254°) = -0.961262 sin(255°) = -0.965926 sin(256°) = -0.970296 sin(257°) = -0.97437 sin(258°) = -0.978148 sin(259°) = -0.981627 sin(260°) = -0.984808 sin(261°) = -0.987688 sin(262°) = -0.990268 sin(263°) = -0.992546 sin(264°) = -0.994522 sin(265°) = -0.996195 sin(266°) = -0.997564 sin(267°) = -0.99863 sin(268°) = -0.999391 sin(269°) = -0.999848 sin(270°) = -1 |
sin(271°) = -0.999848 sin(272°) = -0.999391 sin(273°) = -0.99863 sin(274°) = -0.997564 sin(275°) = -0.996195 sin(276°) = -0.994522 sin(277°) = -0.992546 sin(278°) = -0.990268 sin(279°) = -0.987688 sin(280°) = -0.984808 sin(281°) = -0.981627 sin(282°) = -0.978148 sin(283°) = -0.97437 sin(284°) = -0.970296 sin(285°) = -0.965926 sin(286°) = -0.961262 sin(287°) = -0.956305 sin(288°) = -0.951057 sin(289°) = -0.945519 sin(290°) = -0.939693 sin(291°) = -0.93358 sin(292°) = -0.927184 sin(293°) = -0.920505 sin(294°) = -0.913545 sin(295°) = -0.906308 sin(296°) = -0.898794 sin(297°) = -0.891007 sin(298°) = -0.882948 sin(299°) = -0.87462 sin(300°) = -0.866025 sin(301°) = -0.857167 sin(302°) = -0.848048 sin(303°) = -0.838671 sin(304°) = -0.829038 sin(305°) = -0.819152 sin(306°) = -0.809017 sin(307°) = -0.798636 sin(308°) = -0.788011 sin(309°) = -0.777146 sin(310°) = -0.766044 sin(311°) = -0.75471 sin(312°) = -0.743145 sin(313°) = -0.731354 sin(314°) = -0.71934 sin(315°) = -0.707107 |
sin(316°) = -0.694658 sin(317°) = -0.681998 sin(318°) = -0.669131 sin(319°) = -0.656059 sin(320°) = -0.642788 sin(321°) = -0.62932 sin(322°) = -0.615661 sin(323°) = -0.601815 sin(324°) = -0.587785 sin(325°) = -0.573576 sin(326°) = -0.559193 sin(327°) = -0.544639 sin(328°) = -0.529919 sin(329°) = -0.515038 sin(330°) = -0.5 sin(331°) = -0.48481 sin(332°) = -0.469472 sin(333°) = -0.45399 sin(334°) = -0.438371 sin(335°) = -0.422618 sin(336°) = -0.406737 sin(337°) = -0.390731 sin(338°) = -0.374607 sin(339°) = -0.358368 sin(340°) = -0.34202 sin(341°) = -0.325568 sin(342°) = -0.309017 sin(343°) = -0.292372 sin(344°) = -0.275637 sin(345°) = -0.258819 sin(346°) = -0.241922 sin(347°) = -0.224951 sin(348°) = -0.207912 sin(349°) = -0.190809 sin(350°) = -0.173648 sin(351°) = -0.156434 sin(352°) = -0.139173 sin(353°) = -0.121869 sin(354°) = -0.104528 sin(355°) = -0.087156 sin(356°) = -0.069756 sin(357°) = -0.052336 sin(358°) = -0.034899 sin(359°) = -0.017452 sin(360°) = 0 |
В данной таблице представлены значения синусов от 0° до 360°. Таблица синусов нужна, когда у вас под рукой нет калькулятора. Чтобы узнать, чему равен синус угла, просто найдите нужный градус в таблице. Для начала короткая версия таблицы.
https://uchim.org/matematika/tablica-sinusov — uchim.org
Таблица синусов для 0°-180°
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Таблица синусов для 181°-360°
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Существуют также следующие таблицы тригонометрических функций: таблица косинусов, таблица тангенсов и таблица котангенсов.
Как легко запомнить таблицу синусов (видео)
Таблицу важно всегда помнить на алгебре, чтобы найти синус.
Всё для учебы » Математика в школе » Таблица синусов углов (градусы, значения)
Вам необходимо найти Синус 170 градусов? Он же записывается как sin(170). Чему он равен? Ниже вы можете увидеть готовый ответ:
| Синус 170 градусов это | 0.17364817766693 |
sin(170) =
0.17364817766693
Результат для синуса угла 170 градусов был взят из таблицы Брадиса..
Найти любой синус, косинус, тангенс, котангенс:
Еще примеры вычислений синусов разных углов:
Синус 51 градуса = 0.77714596145697.
Синус 95 градусов = 0.99619469809175.
Синус 211 градусов = -0.51503807491005.
Синус 330 градусов = -0.5.
Другие похожие материалы:
- Котангенс 33
- Тангенс 10
- Котангенс 287
- Тангенс 13
- Косинус 358
- Косинус 190
- Косинус 322
- Синус 225
| sin(170°0′0″) = 0.1736481777 | sin(170°20′0″) = 0.1679158921 | sin(170°40′0″) = 0.1621779231 |
| sin(170°1′0″) = 0.1733617014 | sin(170°21′0″) = 0.167629127 | sin(170°41′0″) = 0.161890879 |
| sin(170°2′0″) = 0.1730752104 | sin(170°22′0″) = 0.1673423477 | sin(170°42′0″) = 0.1616038211 |
| sin(170°3′0″) = 0.1727887048 | sin(170°23′0″) = 0.1670555543 | sin(170°43′0″) = 0.1613167496 |
| sin(170°4′0″) = 0.1725021845 | sin(170°24′0″) = 0.1667687467 | sin(170°44′0″) = 0.1610296644 |
| sin(170°5′0″) = 0.1722156497 | sin(170°25′0″) = 0.166481925 | sin(170°45′0″) = 0.1607425656 |
| sin(170°6′0″) = 0.1719291003 | sin(170°26′0″) = 0.1661950893 | sin(170°46′0″) = 0.1604554532 |
| sin(170°7′0″) = 0.1716425363 | sin(170°27′0″) = 0.1659082395 | sin(170°47′0″) = 0.1601683272 |
| sin(170°8′0″) = 0.1713559578 | sin(170°28′0″) = 0.1656213756 | sin(170°48′0″) = 0.1598811877 |
| sin(170°9′0″) = 0.1710693649 | sin(170°29′0″) = 0.1653344977 | sin(170°49′0″) = 0.1595940346 |
| sin(170°10′0″) = 0.1707827574 | sin(170°30′0″) = 0.1650476059 | sin(170°50′0″) = 0.1593068681 |
| sin(170°11′0″) = 0.1704961355 | sin(170°31′0″) = 0.1647607 | sin(170°51′0″) = 0.159019688 |
| sin(170°12′0″) = 0.1702094992 | sin(170°32′0″) = 0.1644737803 | sin(170°52′0″) = 0.1587324945 |
| sin(170°13′0″) = 0.1699228484 | sin(170°33′0″) = 0.1641868466 | sin(170°53′0″) = 0.1584452876 |
| sin(170°14′0″) = 0.1696361833 | sin(170°34′0″) = 0.163899899 | sin(170°54′0″) = 0.1581580673 |
| sin(170°15′0″) = 0.1693495038 | sin(170°35′0″) = 0.1636129375 | sin(170°55′0″) = 0.1578708335 |
| sin(170°16′0″) = 0.1690628101 | sin(170°36′0″) = 0.1633259622 | sin(170°56′0″) = 0.1575835865 |
| sin(170°17′0″) = 0.1687761019 | sin(170°37′0″) = 0.1630389731 | sin(170°57′0″) = 0.157296326 |
| sin(170°18′0″) = 0.1684893796 | sin(170°38′0″) = 0.1627519702 | sin(170°58′0″) = 0.1570090523 |
| sin(170°19′0″) = 0.1682026429 | sin(170°39′0″) = 0.1624649535 | sin(170°59′0″) = 0.1567217653 |
The value of sin 170 degrees is 0.1736481. . .. Sin 170 degrees in radians is written as sin (170° × π/180°), i.e., sin (17π/18) or sin (2.967059. . .). In this article, we will discuss the methods to find the value of sin 170 degrees with examples.
- Sin 170°: 0.1736481. . .
- Sin (-170 degrees): -0.1736481. . .
- Sin 170° in radians: sin (17π/18) or sin (2.9670597 . . .)
What is the Value of Sin 170 Degrees?
The value of sin 170 degrees in decimal is 0.173648177. . .. Sin 170 degrees can also be expressed using the equivalent of the given angle (170 degrees) in radians (2.96705 . . .).
We know, using degree to radian conversion, θ in radians = θ in degrees × (pi/180°)
⇒ 170 degrees = 170° × (π/180°) rad = 17π/18 or 2.9670 . . .
∴ sin 170° = sin(2.9670) = 0.1736481. . .
Explanation:
For sin 170 degrees, the angle 170° lies between 90° and 180° (Second Quadrant). Since sine function is positive in the second quadrant, thus sin 170° value = 0.1736481. . .
Since the sine function is a periodic function, we can represent sin 170° as, sin 170 degrees = sin(170° + n × 360°), n ∈ Z.
⇒ sin 170° = sin 530° = sin 890°, and so on.
Note: Since, sine is an odd function, the value of sin(-170°) = -sin(170°).
Methods to Find Value of Sin 170 Degrees
The sine function is positive in the 2nd quadrant. The value of sin 170° is given as 0.17364. . .. We can find the value of sin 170 degrees by:
- Using Unit Circle
- Using Trigonometric Functions
Sin 170 Degrees Using Unit Circle
To find the value of sin 170 degrees using the unit circle:
- Rotate ‘r’ anticlockwise to form a 170° angle with the positive x-axis.
- The sin of 170 degrees equals the y-coordinate(0.1736) of the point of intersection (-0.9848, 0.1736) of unit circle and r.
Hence the value of sin 170° = y = 0.1736 (approx)
Sin 170° in Terms of Trigonometric Functions
Using trigonometry formulas, we can represent the sin 170 degrees as:
- ± √(1-cos²(170°))
- ± tan 170°/√(1 + tan²(170°))
- ± 1/√(1 + cot²(170°))
- ± √(sec²(170°) — 1)/sec 170°
- 1/cosec 170°
Note: Since 170° lies in the 2nd Quadrant, the final value of sin 170° will be positive.
We can use trigonometric identities to represent sin 170° as,
- sin(180° — 170°) = sin 10°
- -sin(180° + 170°) = -sin 350°
- cos(90° — 170°) = cos(-80°)
- -cos(90° + 170°) = -cos 260°
☛ Also Check:
- sin 270 degrees
- sin 135 degrees
- sin 75 degrees
- sin 47 degrees
- sin 720 degrees
- sin 28 degrees
FAQs on Sin 170 Degrees
What is Sin 170 Degrees?
Sin 170 degrees is the value of sine trigonometric function for an angle equal to 170 degrees. The value of sin 170° is 0.1736 (approx).
What is the Value of Sin 170 Degrees in Terms of Tan 170°?
We know, using trig identities, we can write sin 170° as -tan 170°/√(1 + tan²(170°)). Here, the value of tan 170° is equal to -0.176326.
How to Find the Value of Sin 170 Degrees?
The value of sin 170 degrees can be calculated by constructing an angle of 170° with the x-axis, and then finding the coordinates of the corresponding point (-0.9848, 0.1736) on the unit circle. The value of sin 170° is equal to the y-coordinate (0.1736). ∴ sin 170° = 0.1736.
What is the Value of Sin 170° in Terms of Cosec 170°?
Since the cosecant function is the reciprocal of the sine function, we can write sin 170° as 1/cosec(170°). The value of cosec 170° is equal to 5.75877.
How to Find Sin 170° in Terms of Other Trigonometric Functions?
Using trigonometry formula, the value of sin 170° can be given in terms of other trigonometric functions as:
- ± √(1-cos²(170°))
- ± tan 170°/√(1 + tan²(170°))
- ± 1/√(1 + cot²(170°))
- ± √(sec²(170°) — 1)/sec 170°
- 1/cosec 170°
☛ Also check: trigonometry table