tan(pi*x/6)=sqrt(3)

$$tan{left (frac{pi x}{6} right )} = sqrt{3}$$

Дано уравнение
$$tan{left (frac{pi x}{6} right )} = sqrt{3}$$
– это простейшее тригонометрическое ур-ние
Это ур-ние преобразуется в
$$frac{pi x}{6} = pi n + {atan}{left (sqrt{3} right )}$$
Или
$$frac{pi x}{6} = pi n + frac{pi}{3}$$
, где n – любое целое число
Разделим обе части полученного ур-ния на
$$frac{pi}{6}$$
получим ответ:
$$x_{1} = frac{1}{pi} left(6 pi n + 2 piright)$$

$$x_{1} = 2$$

x1 = 32.0000000000000

x2 = 92.0000000000000

x3 = -100.000000000000

x4 = 80.0000000000000

x5 = 20.0000000000000

x6 = 8.00000000000000

x7 = 2.00000000000000

x8 = -82.0000000000000

x9 = -94.0000000000000

x10 = -64.0000000000000

x11 = -40.0000000000000

x12 = -46.0000000000000

x13 = 68.0000000000000

x14 = -34.0000000000000

x15 = 26.0000000000000

x16 = -28.0000000000000

x17 = 38.0000000000000

x18 = -88.0000000000000

x19 = -10.0000000000000

x20 = -16.0000000000000

x21 = -22.0000000000000

x22 = 62.0000000000000

x23 = -4.00000000000000

x24 = -76.0000000000000

x25 = 98.0000000000000

x26 = 74.0000000000000

x27 = 50.0000000000000

x28 = 56.0000000000000

x29 = 14.0000000000000

x30 = 104.000000000000

x31 = 86.0000000000000

x32 = -58.0000000000000

x33 = -70.0000000000000

x34 = 44.0000000000000

x35 = -52.0000000000000