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Реши любую задачу с помощью нейросети.
$$cos{left (3 x + pi right )} = 1$$
– это простейшее тригонометрическое ур-ние
Разделим обе части ур-ния на -1
Ур-ние превратится в
$$cos{left (3 x right )} = -1$$
Это ур-ние преобразуется в
$$3 x = pi n + {acos}{left (-1 right )}$$
$$3 x = pi n – pi + {acos}{left (-1 right )}$$
Или
$$3 x = pi n + pi$$
$$3 x = pi n$$
, где n – любое целое число
Разделим обе части полученного ур-ния на
$$3$$
получим ответ:
$$x_{1} = frac{pi n}{3} + frac{pi}{3}$$
$$x_{2} = frac{pi n}{3}$$
pi
x1 = —
3
x1 = 19.8967535533000
x2 = 34.5575190458000
x3 = -53.4070752630000
x4 = 72.2566310277000
x5 = 65.9734457528000
x6 = 38.7463092378000
x7 = -36.6519142867000
x8 = 15.7079634214000
x9 = -68.0678407688000
x10 = 7.33038281102000
x11 = -28.2743337333000
x12 = -9.42477810882000
x13 = 84.8230015250000
x14 = 9.42477808135000
x15 = -91.1061869787000
x16 = -61.7846554920000
x17 = -65.9734457652000
x18 = -30.3687288182000
x19 = 78.5398162009000
x20 = -3.14159273949000
x21 = 30.3687289136000
x22 = -59.6902604574000
x23 = 36.6519141312000
x24 = 97.3893723443000
x25 = 32.4631239742000
x26 = -17.8023583238000
x27 = -49.2182850519000
x28 = -34.5575190561000
x29 = -24.0855436073000
x30 = -1.04719735385000
x31 = -26.1799386627000
x32 = -11.5191731827000
x33 = -7.33038302030000
x34 = 42.9350997066000
x35 = 93.2005824360000
x36 = -82.7286069074000
x37 = -51.3126801710000
x38 = 17.8023584946000
x39 = 26.1799388482000
x40 = -99.4837674953000
x41 = 57.5958654846000
x42 = -97.3893724166000
x43 = 59.6902605755000
x44 = -95.2949773207000
x45 = 28.2743338652000
x46 = 99.4837675171000
x47 = -13.6135682453000
x48 = 86.9173967892000
x49 = -72.2566308885000
x50 = 82.7286063849000
x51 = 74.3510260729000
x52 = -57.5958654038000
x53 = 76.4454211315000
x54 = 13.6135683336000
x55 = 51.3126798912000
x56 = 55.5014703723000
x57 = -112.050138233000
x58 = -21.9911485865000
x59 = 95.2949769490000
x60 = 21.9911485852000
x61 = 11.5191732262000
x62 = 80.6342112833000
x63 = -5.23598790794000
x64 = -70.1622358205000
x65 = -15.7079632964000
x66 = 40.8407043904000
x67 = -45.0294943910000
x68 = -93.2005821938000
x69 = -80.6342113975000
x70 = -19.8967529903000
x71 = -55.5014703392000
x72 = -47.1238898632000
x73 = -74.3510259705000
x74 = -89.0117914376000
x75 = 70.1622360267000
x76 = 61.7846556513000
x77 = -32.4631239212000
x78 = -38.7463098041000
x79 = 63.8790507130000
x80 = -76.4454210695000
x81 = -78.5398161963000
x82 = 53.4070752152000
x83 = 68.0678406256000
