4cos(x)=2 (уравнение)

Найду корень уравнения: 4cos(x)=2

Вы ввели

4*cos(x) = 2

$$4 \cos{\left(x \right)} = 2$$

Подробное решение

Дано уравнение
$$4 \cos{\left(x \right)} = 2$$
- это простейшее тригонометрическое ур-ние

Разделим обе части ур-ния на 4

Ур-ние превратится в
$$\cos{\left(x \right)} = \frac{1}{2}$$
Это ур-ние преобразуется в
$$x = \pi n + \operatorname{acos}{\left(\frac{1}{2} \right)}$$
$$x = \pi n - \pi + \operatorname{acos}{\left(\frac{1}{2} \right)}$$
Или
$$x = \pi n + \frac{\pi}{3}$$
$$x = \pi n - \frac{2 \pi}{3}$$
, где n - любое целое число

Быстрый ответ

     pi
x1 = --
     3 

$$x_{1} = \frac{\pi}{3}$$

     5*pi
x2 = ----
      3  

$$x_{2} = \frac{5 \pi}{3}$$

Численный ответ

x1 = -5.23598775598299

x2 = -1.0471975511966

x3 = -99.4837673636768

x4 = 45.0294947014537

x5 = -95.2949771588904

x6 = -63.8790506229925

x7 = 11.5191730631626

x8 = -36.6519142918809

x9 = -80.634211442138

x10 = 30.3687289847013

x11 = -82.7286065445312

x12 = -86.9173967493176

x13 = -51.3126800086333

x14 = 55.5014702134197

x15 = 76.4454212373516

x16 = -61.7846555205993

x17 = 70.162235930172

x18 = 61.7846555205993

x19 = 17.8023583703422

x20 = -32.4631240870945

x21 = 82.7286065445312

x22 = -93.2005820564972

x23 = 19.8967534727354

x24 = -70.162235930172

x25 = -17.8023583703422

x26 = -68.0678408277789

x27 = 7.33038285837618

x28 = -7.33038285837618

x29 = 49.2182849062401

x30 = -38.7463093942741

x31 = -76.4454212373516

x32 = -13.6135681655558

x33 = 38.7463093942741

x34 = -49.2182849062401

x35 = 68.0678408277789

x36 = 26.1799387799149

x37 = 5.23598775598299

x38 = 99.4837673636768

x39 = -55.5014702134197

x40 = -30.3687289847013

x41 = -225.147473507269

x42 = 42.9350995990605

x43 = 36.6519142918809

x44 = -359.188760060433

x45 = 1.0471975511966

x46 = -74.3510261349584

x47 = -57.5958653158129

x48 = -89.0117918517108

x49 = 24.0855436775217

x50 = 74.3510261349584

x51 = 57.5958653158129

x52 = -24.0855436775217

x53 = 86.9173967493176

x54 = 63.8790506229925

x55 = 80.634211442138

x56 = -26.1799387799149

x57 = 32.4631240870945

x58 = 13.6135681655558

x59 = -45.0294947014537

x60 = 93.2005820564972

x61 = -11.5191730631626

x62 = 89.0117918517108

x63 = -19.8967534727354

x64 = 51.3126800086333

x65 = -42.9350995990605

x66 = 95.2949771588904

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