Дано

$$sin{left (x right )} = – frac{8}{17}$$
Подробное решение
Дано уравнение
$$sin{left (x right )} = – frac{8}{17}$$
– это простейшее тригонометрическое ур-ние
Это ур-ние преобразуется в
$$x = 2 pi n + {asin}{left (- frac{8}{17} right )}$$
$$x = 2 pi n – {asin}{left (- frac{8}{17} right )} + pi$$
Или
$$x = 2 pi n – {asin}{left (frac{8}{17} right )}$$
$$x = 2 pi n + {asin}{left (frac{8}{17} right )} + pi$$
, где n – любое целое число
Ответ
$$x_{1} = {asin}{left (frac{8}{17} right )} + pi$$

x2 = -asin(8/17)

$$x_{2} = – {asin}{left (frac{8}{17} right )}$$
Численный ответ

x1 = -82.1713663196000

x2 = 5.79322798093000

x3 = -0.489957326254000

x4 = -15.2180059417000

x5 = -216.279935771000

x6 = 79.0297736660000

x7 = 18.3595985953000

x8 = 112.607378203000

x9 = 12.0764132881000

x10 = -88.4545516268000

x11 = -2.65163532734000

x12 = 66.4634030516000

x13 = 9.91473528702000

x14 = 81.1914516671000

x15 = 3.63154997984000

x16 = -84.3330443207000

x17 = 53.8970324373000

x18 = -63.3218103980000

x19 = 91.5961442804000

x20 = 37.2091545168000

x21 = 24.6427839025000

x22 = -90.6162296279000

x23 = -65.4834883991000

x24 = -373.359568451000

x25 = -170.135960620000

x26 = -52.9171177848000

x27 = 72.7465883588000

x28 = 97.8793295875000

x29 = 74.9082663599000

x30 = -21.5011912489000

x31 = -13.0563279406000

x32 = 87.4746369743000

x33 = 49.7755251312000

x34 = 47.6138471301000

x35 = -19.3395132478000

x36 = -27.7843765561000

x37 = -46.6339324776000

x38 = -44.4722544765000

x39 = 866.589615065000

x40 = 93.7578222814000

x41 = 16.1979205942000

x42 = 43.4923398240000

x43 = -25.6226985550000

x44 = -75.8881810124000

x45 = 30.9259692096000

x46 = -94.7377369339000

x47 = -31.9058838622000

x48 = -71.7666737063000

x49 = 56.0587104384000

x50 = -40.3507471704000

x51 = 60.1802177445000

x52 = -6.77314263343000

x53 = -78.0498590135000

x54 = -101.020922241000

x55 = 28.7642912086000

x56 = -348.226827222000

x57 = 22.4811059014000

x58 = 85.3129589732000

x59 = 41.3306618229000

x60 = 62.3418957455000

x61 = -96.8994149350000

x62 = 35.0474765157000

x63 = 100.041007589000

x64 = -69.6049957052000

x65 = -38.1890691693000

x66 = -34.0675618632000

x67 = -59.2003030920000

x68 = -283.233296149000

x69 = -50.7554397837000

x70 = 68.6250810527000

x71 = -8.93482063452000

x72 = -57.0386250909000

x73 = 106.324192896000

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4.21
Anka3107
Педагог. Занимаюсь научной деятельностью. Имею опыт в написании курсовых, дипломных, контрольных, тестовых работ, рефератов, статей, докладов, сочинений, эссе, ответов на билеты к экзаменам. Пишу стихи.