tan(pi*x/4)=-1

$$tan{left (frac{pi x}{4} right )} = -1$$

Дано уравнение
$$tan{left (frac{pi x}{4} right )} = -1$$
– это простейшее тригонометрическое ур-ние
Это ур-ние преобразуется в
$$frac{pi x}{4} = pi n + {atan}{left (-1 right )}$$
Или
$$frac{pi x}{4} = pi n – frac{pi}{4}$$
, где n – любое целое число
Разделим обе части полученного ур-ния на
$$frac{pi}{4}$$
получим ответ:
$$x_{1} = frac{1}{pi} left(4 pi n – piright)$$

$$x_{1} = -1$$

x1 = -53.0000000000000

x2 = -37.0000000000000

x3 = 7.00000000000000

x4 = 39.0000000000000

x5 = 51.0000000000000

x6 = 91.0000000000000

x7 = -101.000000000000

x8 = -93.0000000000000

x9 = -65.0000000000000

x10 = -57.0000000000000

x11 = 63.0000000000000

x12 = 43.0000000000000

x13 = 19.0000000000000

x14 = 79.0000000000000

x15 = 95.0000000000000

x16 = 55.0000000000000

x17 = -61.0000000000000

x18 = 31.0000000000000

x19 = -89.0000000000000

x20 = -1.00000000000000

x21 = -97.0000000000000

x22 = -25.0000000000000

x23 = -45.0000000000000

x24 = -21.0000000000000

x25 = 87.0000000000000

x26 = 47.0000000000000

x27 = 71.0000000000000

x28 = 3.00000000000000

x29 = 23.0000000000000

x30 = 59.0000000000000

x31 = 75.0000000000000

x32 = 27.0000000000000

x33 = 15.0000000000000

x34 = -5.00000000000000

x35 = 67.0000000000000

x36 = -9.00000000000000

x37 = -73.0000000000000

x38 = -77.0000000000000

x39 = 83.0000000000000

x40 = -29.0000000000000

x41 = -85.0000000000000

x42 = 99.0000000000000

x43 = -69.0000000000000

x44 = -33.0000000000000

x45 = -81.0000000000000

x46 = -13.0000000000000

x47 = 35.0000000000000

x48 = -17.0000000000000

x49 = -41.0000000000000

x50 = 11.0000000000000

x51 = -49.0000000000000