sin x - √3 cos x =0 (уравнение)

Найду корень уравнения: sin x - √3 cos x =0

Вы ввели

           ___           
sin(x) - \/ 3 *cos(x) = 0

$$\sin{\left(x \right)} - \sqrt{3} \cos{\left(x \right)} = 0$$

Подробное решение

Дано уравнение
$$\sin{\left(x \right)} - \sqrt{3} \cos{\left(x \right)} = 0$$
преобразуем:
$$\frac{\sin{\left(x \right)}}{\cos{\left(x \right)}} = \sqrt{3}$$
или
$$\tan{\left(x \right)} = \sqrt{3}$$
- это простейшее тригонометрическое ур-ние
Это ур-ние преобразуется в
$$x = \pi n + \operatorname{atan}{\left(- \sqrt{3} \right)}$$
Или
$$x = \pi n - \frac{\pi}{3}$$
, где n - любое целое число

Быстрый ответ

     pi
x1 = --
     3 

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

Численный ответ

x1 = -5.23598775598299

x2 = 67.0206432765823

x3 = 73.3038285837618

x4 = -99.4837673636768

x5 = 45.0294947014537

x6 = 85.870199198121

x7 = -27.2271363311115

x8 = -36.6519142918809

x9 = -80.634211442138

x10 = 10.471975511966

x11 = 35.6047167406843

x12 = -86.9173967493176

x13 = 76.4454212373516

x14 = -61.7846555205993

x15 = 70.162235930172

x16 = 16.7551608191456

x17 = 54.4542726622231

x18 = -8.37758040957278

x19 = 82.7286065445312

x20 = 23.0383461263252

x21 = 19.8967534727354

x22 = -93.2005820564972

x23 = -17.8023583703422

x24 = -68.0678408277789

x25 = 7.33038285837618

x26 = 48.1710873550435

x27 = 79.5870138909414

x28 = 38.7463093942741

x29 = 98.4365698124802

x30 = -49.2182849062401

x31 = -96.342174710087

x32 = 26.1799387799149

x33 = -20.943951023932

x34 = -55.5014702134197

x35 = -77.4926187885482

x36 = 29.3215314335047

x37 = -90.0589894029074

x38 = -30.3687289847013

x39 = 60.7374579694027

x40 = 1.0471975511966

x41 = -14.6607657167524

x42 = -74.3510261349584

x43 = -46.0766922526503

x44 = -39.7935069454707

x45 = -52.3598775598299

x46 = 104.71975511966

x47 = 92.1533845053006

x48 = 57.5958653158129

x49 = -58.6430628670095

x50 = 4.18879020478639

x51 = 63.8790506229925

x52 = -24.0855436775217

x53 = 32.4631240870945

x54 = 13.6135681655558

x55 = -71.2094334813686

x56 = -33.5103216382911

x57 = -11.5191730631626

x58 = 89.0117918517108

x59 = -64.9262481741891

x60 = 51.3126800086333

x61 = -42.9350995990605

x62 = -2.0943951023932

x63 = 95.2949771588904

x64 = 41.8879020478639

x65 = -83.7758040957278

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