sin(x)=-0,9 (уравнение)

Найду корень уравнения: sin(x)=-0,9

Вы ввели

sin(x) = -0.9

$$\sin{\left(x \right)} = -0.9$$

Подробное решение

Дано уравнение
$$\sin{\left(x \right)} = -0.9$$
- это простейшее тригонометрическое ур-ние
Это ур-ние преобразуется в
$$x = 2 \pi n + \operatorname{asin}{\left(-0.9 \right)}$$
$$x = 2 \pi n - \operatorname{asin}{\left(-0.9 \right)} + \pi$$
Или
$$x = 2 \pi n - 1.11976951499863$$
$$x = 2 \pi n + 1.11976951499863 + \pi$$
, где n - любое целое число

Быстрый ответ

x1 = -1.11976951499863

$$x_{1} = -1.11976951499863$$

x2 = 4.26136216858843

$$x_{2} = 4.26136216858843$$

Сумма и произведение корней

сумма

0 - 1.11976951499863 + 4.26136216858843

$$\left(-1.11976951499863 + 0\right) + 4.26136216858843$$

=

3.14159265358979

$$3.14159265358979$$

произведение

1*-1.11976951499863*4.26136216858843

$$1 \left(-1.11976951499863\right) 4.26136216858843$$

=

-4.77174344875379

$$-4.77174344875379$$

Численный ответ

x1 = 4.26136216858843

x2 = -39.7209349816687

x3 = -63.9516225867945

x4 = -2.02182313859116

x5 = -57.6684372796149

x6 = 48.2436593188455

x7 = 651.429448808086

x8 = -76.5179932011537

x9 = 93.1280100926952

x10 = 98.5091417762822

x11 = -82.8011785083333

x12 = -19.9693254365374

x13 = -45.1020666652557

x14 = 17.7297864065401

x15 = 23.1109180901272

x16 = -32.5356960508966

x17 = -58.5704909032074

x18 = 73.3764005475639

x19 = -14.5881937529503

x20 = 67.0932152403843

x21 = -20.8713790601299

x22 = 99.4111953998747

x23 = 67.9952688639768

x24 = 54.5268446260251

x25 = -64.853676210387

x26 = -8.30500844577075

x27 = -13.6861401293578

x28 = -26.252510743717

x29 = -95.3675491226924

x30 = 11.4466010993605

x31 = -51.3852519724353

x32 = -52.2873055960278

x33 = 74.2784541711564

x34 = 5.16341579218095

x35 = -33.4377496744891

x36 = -71.1368615175666

x37 = 10.544547475768

x38 = 16.8277327829476

x39 = 61.7120835567972

x40 = 36.5793423280789

x41 = -46.0041202888483

x42 = 92.2259564691026

x43 = -89.0843638155128

x44 = 49.1457129424381

x45 = 41.9604740116659

x46 = 35.6772887044864

x47 = -101.650734429872

x48 = -38.8188813580762

x49 = 86.8448247855156

x50 = -140.251899896542

x51 = -89.9864174391054

x52 = -83.7032321319258

x53 = 60.8100299332047

x54 = 30.2961570208993

x55 = -96.269602746285

x56 = -102.552788053465

x57 = -1.11976951499863

x58 = 80.561639478336

x59 = 400.102036520902

x60 = -120.500290351411

x61 = 55.4288982496176

x62 = -77.4200468247462

x63 = -27.1545643673095

x64 = -7.40295482217822

x65 = 42.8625276352585

x66 = -70.2348078939741

x67 = 79.6595858547435

x68 = 29.3941033973068

x69 = 24.0129717137197

x70 = 85.942771161923

График