На странице представлен фрагмент
Реши любую задачу с помощью нейросети.
$$cos{left (3 x right )} = 0$$
– это простейшее тригонометрическое ур-ние
с изменением знака при 0
Получим:
$$cos{left (3 x right )} = 0$$
Это ур-ние преобразуется в
$$3 x = pi n + {acos}{left (0 right )}$$
$$3 x = pi n – pi + {acos}{left (0 right )}$$
Или
$$3 x = pi n + frac{pi}{2}$$
$$3 x = pi n – frac{pi}{2}$$
, где n – любое целое число
Разделим обе части полученного ур-ния на
$$3$$
получим ответ:
$$x_{1} = frac{pi n}{3} + frac{pi}{6}$$
$$x_{2} = frac{pi n}{3} – frac{pi}{6}$$
pi
x1 = —
6
pi
x2 = —
2
x1 = -3.66519142919000
x2 = -100.007366139000
x3 = -95.8185759345000
x4 = 71.7330322570000
x5 = 1676.03968069000
x6 = 41.3643032723000
x7 = 88.4881930761000
x8 = -69.6386371546000
x9 = -51.8362787842000
x10 = -21.4675497995000
x11 = -60.2138591938000
x12 = -43.4586983747000
x13 = 36.1283155163000
x14 = -71.7330322570000
x15 = 80.1106126665000
x16 = 34.0339204139000
x17 = 51.8362787842000
x18 = -12.0427718388000
x19 = 14.1371669412000
x20 = 31.9395253115000
x21 = -5.75958653158000
x22 = -36.1283155163000
x23 = -47.6474885794000
x24 = 0.523598775598000
x25 = -7.85398163397000
x26 = 18.3259571459000
x27 = -23.5619449019000
x28 = 29.8451302091000
x29 = 42.4115008235000
x30 = -31.9395253115000
x31 = -25.6563400043000
x32 = -75.9218224618000
x33 = -62.3082542962000
x34 = -27.7507351067000
x35 = 62.3082542962000
x36 = 22.5147473507000
x37 = -80.1106126665000
x38 = -58.1194640914000
x39 = 49.7418836818000
x40 = 5.75958653158000
x41 = 64.4026493986000
x42 = 26.7035375555000
x43 = 86.3937979737000
x44 = 66.4970445010000
x45 = 97.9129710369000
x46 = 75.9218224618000
x47 = -16.2315620435000
x48 = 12.0427718388000
x49 = -67.5442420522000
x50 = -34.0339204139000
x51 = -97.9129710369000
x52 = 78.0162175641000
x53 = -1.57079632679000
x54 = -91.6297857297000
x55 = 16.2315620435000
x56 = 100.007366139000
x57 = 84.2994028713000
x58 = -49.7418836818000
x59 = -93.7241808321000
x60 = 9.94837673637000
x61 = -45.5530934771000
x62 = 4.71238898038000
x63 = 7.85398163397000
x64 = 68.5914396034000
x65 = -73.8274273594000
x66 = -14.1371669412000
x67 = -65.4498469498000
x68 = -98.9601685881000
x69 = -56.0250689890000
x70 = 56.0250689890000
x71 = -82.2050077689000
x72 = -61.2610567450000
x73 = 91.6297857297000
x74 = 82.2050077689000
x75 = 20.4203522483000
x76 = -29.8451302091000
x77 = 44.5058959259000
x78 = -78.0162175641000
x79 = -38.2227106187000
x80 = -9.94837673637000
x81 = -89.5353906273000
x82 = 38.2227106187000
x83 = 58.1194640914000
x84 = 95.8185759345000
x85 = 40.3171057211000
x86 = 73.8274273594000
x87 = -84.2994028713000
x88 = -53.9306738866000
x89 = 93.7241808321000
x90 = 15.1843644924000
x91 = 53.9306738866000
x92 = 87.4409955249000
x93 = 27.7507351067000
x94 = 60.2138591938000
x95 = -19.3731546971000
x96 = 1.57079632679000
