sin(x)=-0,19 (уравнение)

Найду корень уравнения: sin(x)=-0,19

Вы ввели

         -19 
sin(x) = ----
         100 

$$\sin{\left(x \right)} = - \frac{19}{100}$$

Подробное решение

Дано уравнение
$$\sin{\left(x \right)} = - \frac{19}{100}$$
- это простейшее тригонометрическое ур-ние
Это ур-ние преобразуется в
$$x = 2 \pi n + \operatorname{asin}{\left(- \frac{19}{100} \right)}$$
$$x = 2 \pi n - \operatorname{asin}{\left(- \frac{19}{100} \right)} + \pi$$
Или
$$x = 2 \pi n - \operatorname{asin}{\left(\frac{19}{100} \right)}$$
$$x = 2 \pi n + \operatorname{asin}{\left(\frac{19}{100} \right)} + \pi$$
, где n - любое целое число

Быстрый ответ

              / 19\
x1 = pi + asin|---|
              \100/

$$x_{1} = \operatorname{asin}{\left(\frac{19}{100} \right)} + \pi$$

          / 19\
x2 = -asin|---|
          \100/

$$x_{2} = - \operatorname{asin}{\left(\frac{19}{100} \right)}$$

Численный ответ

x1 = 81.4902468468036

x2 = -84.6318395003934

x3 = 100.339802768342

x4 = -69.3062005255065

x5 = -97.1982101147525

x6 = 6.09202316064853

x7 = -53.2159129644954

x8 = -65.7822835788546

x9 = 22.1823107216596

x10 = -75.5893858326861

x11 = -25.3239033752494

x12 = 50.0743203109056

x13 = 62.6406909252648

x14 = -63.0230152183269

x15 = -100.722127061404

x16 = -56.7398299111473

x17 = -44.1734592967882

x18 = 34.7486813360188

x19 = -2.95043050705873

x20 = 78.7309784862759

x21 = 9.61594010730044

x22 = 15.89912541448

x23 = 72.4477931790963

x24 = -81.8725711398657

x25 = 56.3575056180852

x26 = 1071.47425702065

x27 = 31.2247643893669

x28 = 43.791135003726

x29 = 91.2973491006351

x30 = 12.3752084678281

x31 = 53.5982372575575

x32 = -0.19116214653106

x33 = 87.7734321539832

x34 = -50.4566446039678

x35 = 68.9238762324444

x36 = 59.8814225647371

x37 = 97.5805344078147

x38 = -90.9150248075729

x39 = -21.7999864285975

x40 = -6.47434745371065

x41 = -34.3663570429567

x42 = 138.03891461142

x43 = -116.047766036291

x44 = -46.9327276573158

x45 = -72.0654688860342

x46 = 24.9415790821873

x47 = 28.4654960288392

x48 = -28.0831717357771

x49 = 37.5079496965465

x50 = 18.6583937750077

x51 = -37.8902739896086

x52 = 66.1646078719167

x53 = -40.6495423501363

x54 = 47.315051950378

x55 = 85.0141637934555

x56 = -12.7575327608902

x57 = 41.0318666431984

x58 = -31.607088682429

x59 = 94.0566174611627

x60 = -9.23361581423832

x61 = -78.3486541932138

x62 = -15.5168011214179

x63 = -94.4389417542249

x64 = -59.499098271675

x65 = 3.33275480012085

x66 = -1366.40164216503

x67 = 75.207061539624

x68 = -19.0407180680698

x69 = -88.1557564470453

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