cos x = 2/5 (уравнение)

Найду корень уравнения: cos x = 2/5

Вы ввели

cos(x) = 2/5

$$\cos{\left(x \right)} = \frac{2}{5}$$

Подробное решение

Дано уравнение
$$\cos{\left(x \right)} = \frac{2}{5}$$
- это простейшее тригонометрическое ур-ние
Это ур-ние преобразуется в
$$x = \pi n + \operatorname{acos}{\left(\frac{2}{5} \right)}$$
$$x = \pi n - \pi + \operatorname{acos}{\left(\frac{2}{5} \right)}$$
Или
$$x = \pi n + \operatorname{acos}{\left(\frac{2}{5} \right)}$$
$$x = \pi n - \pi + \operatorname{acos}{\left(\frac{2}{5} \right)}$$
, где n - любое целое число

Быстрый ответ

x1 = -acos(2/5) + 2*pi

$$x_{1} = - \operatorname{acos}{\left(\frac{2}{5} \right)} + 2 \pi$$

x2 = acos(2/5)

$$x_{2} = \operatorname{acos}{\left(\frac{2}{5} \right)}$$

Численный ответ

x1 = 55.3893882838889

x2 = 17.6902764408113

x3 = 20.0088354022662

x4 = 74.2389442054276

x5 = 26.2920207094458

x6 = -89.1238737812416

x7 = 49.1062029767093

x8 = -11.4070911336318

x9 = 30.2566470551705

x10 = 7.44246478790699

x11 = -45.1415766309845

x12 = -49.1062029767093

x13 = 5.12390582645218

x14 = 1.15927948072741

x15 = 51.4247619381641

x16 = 95.4070590884212

x17 = 143.353982584403

x18 = -67.955758898248

x19 = 99.371685434146

x20 = -20.0088354022662

x21 = -70.2743178597029

x22 = -30.2566470551705

x23 = 61.6725735910685

x24 = 6070.71628621621

x25 = 38.8583913238049

x26 = -1.15927948072741

x27 = 76.5575031668824

x28 = 57.7079472453437

x29 = -61.6725735910685

x30 = -57.7079472453437

x31 = 13.7256500950866

x32 = -13.7256500950866

x33 = 63.9911325525233

x34 = -74.2389442054276

x35 = 32.5752060166253

x36 = 80.5221295126072

x37 = -32.5752060166253

x38 = 82.840688474062

x39 = -26.2920207094458

x40 = -82.840688474062

x41 = 89.1238737812416

x42 = -17.6902764408113

x43 = -42.8230176695297

x44 = -5.12390582645218

x45 = -51.4247619381641

x46 = 93.0885001269664

x47 = -86.8053148197868

x48 = -7.44246478790699

x49 = -38.8583913238049

x50 = 11.4070911336318

x51 = 42.8230176695297

x52 = 23.9734617479909

x53 = -95.4070590884212

x54 = -99.371685434146

x55 = 86.8053148197868

x56 = -36.5398323623501

x57 = 45.1415766309845

x58 = -23.9734617479909

x59 = -55.3893882838889

x60 = -93.0885001269664

x61 = 70.2743178597029

x62 = 67.955758898248

x63 = -63.9911325525233

x64 = -76.5575031668824

x65 = -80.5221295126072

x66 = 36.5398323623501

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