Как найти sin 220 - Исправление недочетов и поиск решений вместе с Examum.ru

Вам необходимо найти Синус 220 градусов? Он же записывается как sin(220). Чему он равен? Ниже вы можете увидеть готовый ответ:

Синус 220 градусов это

-0.64278760968654

sin(220) =
-0.64278760968654

Результат для синуса угла 220 градусов был взят из таблицы Брадиса..

Найти любой синус, косинус, тангенс, котангенс:

Еще примеры вычислений синусов разных углов:

Синус 76 градусов = 0.970295726276.
Синус 119 градусов = 0.8746197071394.
Синус 254 градусов = -0.96126169593832.
Синус 288 градусов = -0.95105651629515.

Источник

The value of sin 220 degrees is -0.6427876. . .. Sin 220 degrees in radians is written as sin (220° × π/180°), i.e., sin (11π/9) or sin (3.839724. . .). In this article, we will discuss the methods to find the value of sin 220 degrees with examples.

Sin 220°: -0.6427876. . .
Sin (-220 degrees): 0.6427876. . .
Sin 220° in radians: sin (11π/9) or sin (3.8397243 . . .)

What is the Value of Sin 220 Degrees?

The value of sin 220 degrees in decimal is -0.642787609. . .. Sin 220 degrees can also be expressed using the equivalent of the given angle (220 degrees) in radians (3.83972 . . .).

We know, using degree to radian conversion, θ in radians = θ in degrees × (pi/180°)
⇒ 220 degrees = 220° × (π/180°) rad = 11π/9 or 3.8397 . . .
∴ sin 220° = sin(3.8397) = -0.6427876. . .

Explanation:

For sin 220 degrees, the angle 220° lies between 180° and 270° (Third Quadrant). Since sine function is negative in the third quadrant, thus sin 220° value = -0.6427876. . .
Since the sine function is a periodic function, we can represent sin 220° as, sin 220 degrees = sin(220° + n × 360°), n ∈ Z.
⇒ sin 220° = sin 580° = sin 940°, and so on.
Note: Since, sine is an odd function, the value of sin(-220°) = -sin(220°).

Methods to Find Value of Sin 220 Degrees

The sine function is negative in the 3rd quadrant. The value of sin 220° is given as -0.64278. . .. We can find the value of sin 220 degrees by:

Using Unit Circle
Using Trigonometric Functions

Sin 220 Degrees Using Unit Circle

To find the value of sin 220 degrees using the unit circle:

Rotate ‘r’ anticlockwise to form a 220° angle with the positive x-axis.
The sin of 220 degrees equals the y-coordinate(-0.6428) of the point of intersection (-0.766, -0.6428) of unit circle and r.

Hence the value of sin 220° = y = -0.6428 (approx)

Sin 220° in Terms of Trigonometric Functions

Using trigonometry formulas, we can represent the sin 220 degrees as:

± √(1-cos²(220°))
± tan 220°/√(1 + tan²(220°))
± 1/√(1 + cot²(220°))
± √(sec²(220°) — 1)/sec 220°
1/cosec 220°

Note: Since 220° lies in the 3rd Quadrant, the final value of sin 220° will be negative.

We can use trigonometric identities to represent sin 220° as,

sin(180° — 220°) = sin(-40°)
-sin(180° + 220°) = -sin 400°
cos(90° — 220°) = cos(-130°)
-cos(90° + 220°) = -cos 310°

☛ Also Check:

sin 35 degrees
sin 15 degrees
sin 36 degrees
sin 71 degrees
sin 33 degrees
sin 933 degrees

FAQs on Sin 220 Degrees

What is Sin 220 Degrees?

Sin 220 degrees is the value of sine trigonometric function for an angle equal to 220 degrees. The value of sin 220° is -0.6428 (approx).

What is the Exact Value of sin 220 Degrees?

The exact value of sin 220 degrees can be given accurately up to 8 decimal places as -0.64278760.

How to Find the Value of Sin 220 Degrees?

The value of sin 220 degrees can be calculated by constructing an angle of 220° with the x-axis, and then finding the coordinates of the corresponding point (-0.766, -0.6428) on the unit circle. The value of sin 220° is equal to the y-coordinate (-0.6428). ∴ sin 220° = -0.6428.

What is the Value of Sin 220 Degrees in Terms of Cos 220°?

Using trigonometric identities, we can write sin 220° in terms of cos 220° as, sin(220°) = -√(1-cos²(220°)). Here, the value of cos 220° is equal to -0.7660444.

How to Find Sin 220° in Terms of Other Trigonometric Functions?

Using trigonometry formula, the value of sin 220° can be given in terms of other trigonometric functions as:

± √(1-cos²(220°))
± tan 220°/√(1 + tan²(220°))
± 1/√(1 + cot²(220°))
± √(sec²(220°) — 1)/sec 220°
1/cosec 220°

☛ Also check: trigonometric table

Источник

Calculator use

To use this calculator, just type a value for the angle, then press ‘Calculate’. You may choose radians (rad) or degrees (°) as the angle unit. The default unit is degree (°)

Examples of accepted input values

30 → sin(30°) = 0.5
pi → sin(pi^rad) = 0
3pi/4 → sin(3pi/4) = 0.707 …
1/(2pi) → sin(1/(2pi)^rad) = 0.158 … (note the parenthesis in denominator)
1/2pi → sin(1/2pi^rad) = sin((1/2) x pi^rad) = 1 exactly

Note: this calculator accepts numbers, fractions, ‘pi’, ‘π’, ‘+’, ‘-‘, ‘*’, ‘/’, ‘(‘, ‘)’ and some (not all) combinations of them as input. Use it with care!

Источник

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°

sin(1°)	0.0175
sin(2°)	0.0349
sin(3°)	0.0523
sin(4°)	0.0698
sin(5°)	0.0872
sin(6°)	0.1045
sin(7°)	0.1219
sin(8°)	0.1392
sin(9°)	0.1564
sin(10°)	0.1736
sin(11°)	0.1908
sin(12°)	0.2079
sin(13°)	0.225
sin(14°)	0.2419
sin(15°)	0.2588
sin(16°)	0.2756
sin(17°)	0.2924
sin(18°)	0.309
sin(19°)	0.3256
sin(20°)	0.342
sin(21°)	0.3584
sin(22°)	0.3746
sin(23°)	0.3907
sin(24°)	0.4067
sin(25°)	0.4226
sin(26°)	0.4384
sin(27°)	0.454
sin(28°)	0.4695
sin(29°)	0.4848
sin(30°)	0.5
sin(31°)	0.515
sin(32°)	0.5299
sin(33°)	0.5446
sin(34°)	0.5592
sin(35°)	0.5736
sin(36°)	0.5878
sin(37°)	0.6018
sin(38°)	0.6157
sin(39°)	0.6293
sin(40°)	0.6428
sin(41°)	0.6561
sin(42°)	0.6691
sin(43°)	0.682
sin(44°)	0.6947
sin(45°)	0.7071

sin(46°)	0.7193
sin(47°)	0.7314
sin(48°)	0.7431
sin(49°)	0.7547
sin(50°)	0.766
sin(51°)	0.7771
sin(52°)	0.788
sin(53°)	0.7986
sin(54°)	0.809
sin(55°)	0.8192
sin(56°)	0.829
sin(57°)	0.8387
sin(58°)	0.848
sin(59°)	0.8572
sin(60°)	0.866
sin(61°)	0.8746
sin(62°)	0.8829
sin(63°)	0.891
sin(64°)	0.8988
sin(65°)	0.9063
sin(66°)	0.9135
sin(67°)	0.9205
sin(68°)	0.9272
sin(69°)	0.9336
sin(70°)	0.9397
sin(71°)	0.9455
sin(72°)	0.9511
sin(73°)	0.9563
sin(74°)	0.9613
sin(75°)	0.9659
sin(76°)	0.9703
sin(77°)	0.9744
sin(78°)	0.9781
sin(79°)	0.9816
sin(80°)	0.9848
sin(81°)	0.9877
sin(82°)	0.9903
sin(83°)	0.9925
sin(84°)	0.9945
sin(85°)	0.9962
sin(86°)	0.9976
sin(87°)	0.9986
sin(88°)	0.9994
sin(89°)	0.9998
sin(90°)	1

sin(91°)	0.9998
sin(92°)	0.9994
sin(93°)	0.9986
sin(94°)	0.9976
sin(95°)	0.9962
sin(96°)	0.9945
sin(97°)	0.9925
sin(98°)	0.9903
sin(99°)	0.9877
sin(100°)	0.9848
sin(101°)	0.9816
sin(102°)	0.9781
sin(103°)	0.9744
sin(104°)	0.9703
sin(105°)	0.9659
sin(106°)	0.9613
sin(107°)	0.9563
sin(108°)	0.9511
sin(109°)	0.9455
sin(110°)	0.9397
sin(111°)	0.9336
sin(112°)	0.9272
sin(113°)	0.9205
sin(114°)	0.9135
sin(115°)	0.9063
sin(116°)	0.8988
sin(117°)	0.891
sin(118°)	0.8829
sin(119°)	0.8746
sin(120°)	0.866
sin(121°)	0.8572
sin(122°)	0.848
sin(123°)	0.8387
sin(124°)	0.829
sin(125°)	0.8192
sin(126°)	0.809
sin(127°)	0.7986
sin(128°)	0.788
sin(129°)	0.7771
sin(130°)	0.766
sin(131°)	0.7547
sin(132°)	0.7431
sin(133°)	0.7314
sin(134°)	0.7193
sin(135°)	0.7071

sin(136°)	0.6947
sin(137°)	0.682
sin(138°)	0.6691
sin(139°)	0.6561
sin(140°)	0.6428
sin(141°)	0.6293
sin(142°)	0.6157
sin(143°)	0.6018
sin(144°)	0.5878
sin(145°)	0.5736
sin(146°)	0.5592
sin(147°)	0.5446
sin(148°)	0.5299
sin(149°)	0.515
sin(150°)	0.5
sin(151°)	0.4848
sin(152°)	0.4695
sin(153°)	0.454
sin(154°)	0.4384
sin(155°)	0.4226
sin(156°)	0.4067
sin(157°)	0.3907
sin(158°)	0.3746
sin(159°)	0.3584
sin(160°)	0.342
sin(161°)	0.3256
sin(162°)	0.309
sin(163°)	0.2924
sin(164°)	0.2756
sin(165°)	0.2588
sin(166°)	0.2419
sin(167°)	0.225
sin(168°)	0.2079
sin(169°)	0.1908
sin(170°)	0.1736
sin(171°)	0.1564
sin(172°)	0.1392
sin(173°)	0.1219
sin(174°)	0.1045
sin(175°)	0.0872
sin(176°)	0.0698
sin(177°)	0.0523
sin(178°)	0.0349
sin(179°)	0.0175
sin(180°)	0

Таблица синусов для 181°-360°

sin(181°)	-0.0175
sin(182°)	-0.0349
sin(183°)	-0.0523
sin(184°)	-0.0698
sin(185°)	-0.0872
sin(186°)	-0.1045
sin(187°)	-0.1219
sin(188°)	-0.1392
sin(189°)	-0.1564
sin(190°)	-0.1736
sin(191°)	-0.1908
sin(192°)	-0.2079
sin(193°)	-0.225
sin(194°)	-0.2419
sin(195°)	-0.2588
sin(196°)	-0.2756
sin(197°)	-0.2924
sin(198°)	-0.309
sin(199°)	-0.3256
sin(200°)	-0.342
sin(201°)	-0.3584
sin(202°)	-0.3746
sin(203°)	-0.3907
sin(204°)	-0.4067
sin(205°)	-0.4226
sin(206°)	-0.4384
sin(207°)	-0.454
sin(208°)	-0.4695
sin(209°)	-0.4848
sin(210°)	-0.5
sin(211°)	-0.515
sin(212°)	-0.5299
sin(213°)	-0.5446
sin(214°)	-0.5592
sin(215°)	-0.5736
sin(216°)	-0.5878
sin(217°)	-0.6018
sin(218°)	-0.6157
sin(219°)	-0.6293
sin(220°)	-0.6428
sin(221°)	-0.6561
sin(222°)	-0.6691
sin(223°)	-0.682
sin(224°)	-0.6947
sin(225°)	-0.7071

sin(226°)	-0.7193
sin(227°)	-0.7314
sin(228°)	-0.7431
sin(229°)	-0.7547
sin(230°)	-0.766
sin(231°)	-0.7771
sin(232°)	-0.788
sin(233°)	-0.7986
sin(234°)	-0.809
sin(235°)	-0.8192
sin(236°)	-0.829
sin(237°)	-0.8387
sin(238°)	-0.848
sin(239°)	-0.8572
sin(240°)	-0.866
sin(241°)	-0.8746
sin(242°)	-0.8829
sin(243°)	-0.891
sin(244°)	-0.8988
sin(245°)	-0.9063
sin(246°)	-0.9135
sin(247°)	-0.9205
sin(248°)	-0.9272
sin(249°)	-0.9336
sin(250°)	-0.9397
sin(251°)	-0.9455
sin(252°)	-0.9511
sin(253°)	-0.9563
sin(254°)	-0.9613
sin(255°)	-0.9659
sin(256°)	-0.9703
sin(257°)	-0.9744
sin(258°)	-0.9781
sin(259°)	-0.9816
sin(260°)	-0.9848
sin(261°)	-0.9877
sin(262°)	-0.9903
sin(263°)	-0.9925
sin(264°)	-0.9945
sin(265°)	-0.9962
sin(266°)	-0.9976
sin(267°)	-0.9986
sin(268°)	-0.9994
sin(269°)	-0.9998
sin(270°)	-1

sin(271°)	-0.9998
sin(272°)	-0.9994
sin(273°)	-0.9986
sin(274°)	-0.9976
sin(275°)	-0.9962
sin(276°)	-0.9945
sin(277°)	-0.9925
sin(278°)	-0.9903
sin(279°)	-0.9877
sin(280°)	-0.9848
sin(281°)	-0.9816
sin(282°)	-0.9781
sin(283°)	-0.9744
sin(284°)	-0.9703
sin(285°)	-0.9659
sin(286°)	-0.9613
sin(287°)	-0.9563
sin(288°)	-0.9511
sin(289°)	-0.9455
sin(290°)	-0.9397
sin(291°)	-0.9336
sin(292°)	-0.9272
sin(293°)	-0.9205
sin(294°)	-0.9135
sin(295°)	-0.9063
sin(296°)	-0.8988
sin(297°)	-0.891
sin(298°)	-0.8829
sin(299°)	-0.8746
sin(300°)	-0.866
sin(301°)	-0.8572
sin(302°)	-0.848
sin(303°)	-0.8387
sin(304°)	-0.829
sin(305°)	-0.8192
sin(306°)	-0.809
sin(307°)	-0.7986
sin(308°)	-0.788
sin(309°)	-0.7771
sin(310°)	-0.766
sin(311°)	-0.7547
sin(312°)	-0.7431
sin(313°)	-0.7314
sin(314°)	-0.7193
sin(315°)	-0.7071

sin(316°)	-0.6947
sin(317°)	-0.682
sin(318°)	-0.6691
sin(319°)	-0.6561
sin(320°)	-0.6428
sin(321°)	-0.6293
sin(322°)	-0.6157
sin(323°)	-0.6018
sin(324°)	-0.5878
sin(325°)	-0.5736
sin(326°)	-0.5592
sin(327°)	-0.5446
sin(328°)	-0.5299
sin(329°)	-0.515
sin(330°)	-0.5
sin(331°)	-0.4848
sin(332°)	-0.4695
sin(333°)	-0.454
sin(334°)	-0.4384
sin(335°)	-0.4226
sin(336°)	-0.4067
sin(337°)	-0.3907
sin(338°)	-0.3746
sin(339°)	-0.3584
sin(340°)	-0.342
sin(341°)	-0.3256
sin(342°)	-0.309
sin(343°)	-0.2924
sin(344°)	-0.2756
sin(345°)	-0.2588
sin(346°)	-0.2419
sin(347°)	-0.225
sin(348°)	-0.2079
sin(349°)	-0.1908
sin(350°)	-0.1736
sin(351°)	-0.1564
sin(352°)	-0.1392
sin(353°)	-0.1219
sin(354°)	-0.1045
sin(355°)	-0.0872
sin(356°)	-0.0698
sin(357°)	-0.0523
sin(358°)	-0.0349
sin(359°)	-0.0175
sin(360°)	-0

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)

Источник

sin(220°0′0″) = -0.6427876097	sin(220°20′0″) = -0.6472333725	sin(220°40′0″) = -0.6516572288
sin(220°1′0″) = -0.6430104158	sin(220°21′0″) = -0.6474550868	sin(220°41′0″) = -0.6518778439
sin(220°2′0″) = -0.6432331675	sin(220°22′0″) = -0.6476767464	sin(220°42′0″) = -0.6520984038
sin(220°3′0″) = -0.6434558647	sin(220°23′0″) = -0.6478983511	sin(220°43′0″) = -0.6523189086
sin(220°4′0″) = -0.6436785075	sin(220°24′0″) = -0.6481199011	sin(220°44′0″) = -0.6525393581
sin(220°5′0″) = -0.6439010959	sin(220°25′0″) = -0.6483413962	sin(220°45′0″) = -0.6527597525
sin(220°6′0″) = -0.6441236298	sin(220°26′0″) = -0.6485628364	sin(220°46′0″) = -0.6529800916
sin(220°7′0″) = -0.6443461091	sin(220°27′0″) = -0.6487842217	sin(220°47′0″) = -0.6532003754
sin(220°8′0″) = -0.644568534	sin(220°28′0″) = -0.6490055522	sin(220°48′0″) = -0.653420604
sin(220°9′0″) = -0.6447909043	sin(220°29′0″) = -0.6492268277	sin(220°49′0″) = -0.6536407773
sin(220°10′0″) = -0.64501322	sin(220°30′0″) = -0.6494480483	sin(220°50′0″) = -0.6538608953
sin(220°11′0″) = -0.6452354812	sin(220°31′0″) = -0.649669214	sin(220°51′0″) = -0.6540809579
sin(220°12′0″) = -0.6454576877	sin(220°32′0″) = -0.6498903247	sin(220°52′0″) = -0.6543009652
sin(220°13′0″) = -0.6456798397	sin(220°33′0″) = -0.6501113803	sin(220°53′0″) = -0.6545209172
sin(220°14′0″) = -0.645901937	sin(220°34′0″) = -0.650332381	sin(220°54′0″) = -0.6547408137
sin(220°15′0″) = -0.6461239796	sin(220°35′0″) = -0.6505533267	sin(220°55′0″) = -0.6549606549
sin(220°16′0″) = -0.6463459676	sin(220°36′0″) = -0.6507742173	sin(220°56′0″) = -0.6551804406
sin(220°17′0″) = -0.6465679009	sin(220°37′0″) = -0.6509950528	sin(220°57′0″) = -0.6554001709
sin(220°18′0″) = -0.6467897795	sin(220°38′0″) = -0.6512158333	sin(220°58′0″) = -0.6556198458
sin(220°19′0″) = -0.6470116034	sin(220°39′0″) = -0.6514365586	sin(220°59′0″) = -0.6558394651

Источник