cos(x+(pi/6))=1

$$cos{left (x + frac{pi}{6} right )} = 1$$

Дано уравнение
$$cos{left (x + frac{pi}{6} right )} = 1$$
– это простейшее тригонометрическое ур-ние
Это ур-ние преобразуется в
$$x + frac{pi}{6} = pi n + {acos}{left (1 right )}$$
$$x + frac{pi}{6} = pi n – pi + {acos}{left (1 right )}$$
Или
$$x + frac{pi}{6} = pi n$$
$$x + frac{pi}{6} = pi n – pi$$
, где n – любое целое число
Перенесём
$$frac{pi}{6}$$
в правую часть ур-ния
с противоположным знаком, итого:
$$x = pi n – frac{pi}{6}$$
$$x = pi n – frac{7 pi}{6}$$

-pi
x1 = —-
6

$$x_{1} = – frac{pi}{6}$$

11*pi
x2 = —–
6

$$x_{2} = frac{11 pi}{6}$$

x1 = -38.2227104688000

x2 = 81.1578106196000

x3 = 93.7241810082000

x4 = 30.8923274495000

x5 = -75.9218229143000

x6 = 74.8746246067000

x7 = -25.6563402323000

x8 = -38.2227106631000

x9 = 301.069297155000

x10 = -13.0899689209000

x11 = 24.6091429668000

x12 = 62.3082542575000

x13 = -31.9395249202000

x14 = 81.1578093180000

x15 = -6.80678449726000

x16 = -25.6563400637000

x17 = -75.9218228127000

x18 = -6.80678369229000

x19 = 56.0250690082000

x20 = -44.5058956473000

x21 = 18.3259570967000

x22 = 81.1578098140000

x23 = 68.5914401181000

x24 = -0.523599258251000

x25 = -82.2050076281000

x26 = -57.0722668646000

x27 = 12.0427717615000

x28 = -50.7890816527000

x29 = -13.0899698147000

x30 = -0.523598489732000

x31 = -82.2050082778000

x32 = 56.0250689522000

x33 = -264.417382420000

x34 = 5.75958669034000

x35 = 49.7418835245000

x36 = 68.5914394201000

x37 = 56.0250685169000

x38 = 24.6091422617000

x39 = 87.4409950489000

x40 = -44.5058964116000

x41 = -50.7890808484000

x42 = -63.3554510012000

x43 = 12.0427713726000

x44 = -19.3731541847000

x45 = 156.556034517000

x46 = -101.054563230000

x47 = 5.75958643340000

x48 = 62.3082547929000

x49 = -63.3554513364000

x50 = -44.5058967203000

x51 = 37.1755126583000

x52 = 30.8923274299000

x53 = 43.4586978952000

x54 = 5.75958602211000

x55 = 87.4409958251000

x56 = -57.0722660752000

x57 = 5.75958726071000

x58 = -63.3554520547000

x59 = 56.0250693524000

x60 = 49.7418838493000

x61 = -88.4881928049000

x62 = 18.3259568927000

x63 = 12.0427722167000

x64 = 100.007366130000

x65 = 74.8746253872000

x66 = 24.6091430772000

x67 = -88.4881942808000

x68 = -25.6563395011000

x69 = -69.6386373549000

x70 = -19.3731539654000

x71 = -13.0899697076000

x72 = 49.7418831724000

x73 = -69.6386366486000

x74 = -75.9218220582000

x75 = 100.007365662000

x76 = -57.0722665844000

x77 = -31.9395254618000

x78 = -19.3731548965000

x79 = 62.3082540197000

x80 = 37.1755134637000

x81 = 18.3259576461000

x82 = 30.8923282332000

x83 = -94.7713788081000

x84 = 68.5914401277000

x85 = -88.4881935647000

x86 = 93.7241803230000

x87 = -31.9395257712000

x88 = 43.4586986677000

x89 = 93.7241806097000

x90 = -38.2227111280000

x91 = -69.6386372238000

x92 = -82.2050077644000

x93 = -94.7713780046000