tan((pi/3)+x)=1

$$tan{left (x + frac{pi}{3} right )} = 1$$

Дано уравнение
$$tan{left (x + frac{pi}{3} right )} = 1$$
– это простейшее тригонометрическое ур-ние
Это ур-ние преобразуется в
$$x + frac{pi}{3} = pi n + {atan}{left (1 right )}$$
Или
$$x + frac{pi}{3} = pi n + frac{pi}{4}$$
, где n – любое целое число
Перенесём
$$frac{pi}{3}$$
в правую часть ур-ния
с противоположным знаком, итого:
$$x = pi n – frac{pi}{12}$$

-pi
x1 = —-
12

$$x_{1} = – frac{pi}{12}$$

x1 = -15.9697626557000

x2 = 71.9948316448000

x3 = -50.5272818452000

x4 = -85.0848010347000

x5 = -97.6511716491000

x6 = 15.4461638801000

x7 = -66.2352451132000

x8 = -22.2529479629000

x9 = -9.68657734857000

x10 = 68.8532389912000

x11 = 37.4373124553000

x12 = -63.0936524596000

x13 = -0.261799387799000

x14 = 90.8443875663000

x15 = 78.2780169519000

x16 = 46.8620904160000

x17 = -91.3679863419000

x18 = -56.8104671524000

x19 = 9.16297857297000

x20 = -75.6600230740000

x21 = 59.4284610304000

x22 = -53.6688744988000

x23 = -78.8016157275000

x24 = -12.8281700022000

x25 = -72.5184304204000

x26 = -37.9609112309000

x27 = 18.5877565337000

x28 = -47.3856891916000

x29 = 75.1364242984000

x30 = 50.0036830696000

x31 = -41.1025038845000

x32 = 28.0125344945000

x33 = 21.7293491873000

x34 = -59.9520598060000

x35 = -19.1113553093000

x36 = 2.87979326579000

x37 = 12.3045712266000

x38 = 97.1275728735000

x39 = -25.3945406165000

x40 = 43.7204977625000

x41 = -6.54498469498000

x42 = 34.2957198017000

x43 = -3.40339204139000

x44 = 24.8709418409000

x45 = 56.2868683768000

x46 = 93.9859802199000

x47 = 62.5700536840000

x48 = -81.9432083811000

x49 = -69.3768377668000

x50 = 6.02138591938000

x51 = 53.1452757232000

x52 = -31.6777259237000

x53 = 40.5789051089000

x54 = -28.5361332701000

x55 = 87.7027949127000

x56 = -94.5095789955000

x57 = -88.2263936883000

x58 = -44.2440965381000

x59 = -34.8193185773000

x60 = 81.4196096055000

x61 = 84.5612022591000

x62 = 100.269165527000

x63 = 65.7116463376000

x64 = 31.1541271481000