Дано

$$tan{left (x right )} = – frac{1}{3}$$
Подробное решение
Дано уравнение
$$tan{left (x right )} = – frac{1}{3}$$
– это простейшее тригонометрическое ур-ние
Это ур-ние преобразуется в
$$x = pi n + {atan}{left (- frac{1}{3} right )}$$
Или
$$x = pi n – {atan}{left (frac{1}{3} right )}$$
, где n – любое целое число
Ответ
$$x_{1} = – {atan}{left (frac{1}{3} right )}$$
Численный ответ

x1 = 68.7932878246000

x2 = -85.1447522013000

x3 = -3.46334320799000

x4 = -53.7288256654000

x5 = -78.8615668941000

x6 = -63.1536036262000

x7 = 53.0853245566000

x8 = -41.1624550511000

x9 = 56.2269172102000

x10 = -50.5872330118000

x11 = 71.9348804782000

x12 = -31.7376770903000

x13 = 24.8109906743000

x14 = -6.60493586158000

x15 = -34.8792697439000

x16 = 2.81984209919000

x17 = -19.1713064759000

x18 = 87.6428437461000

x19 = 21.6693980207000

x20 = 65.6516951710000

x21 = 81.3596584389000

x22 = -28.5960844367000

x23 = -38.0208623975000

x24 = -69.4367889334000

x25 = -97.7111228157000

x26 = -91.4279375085000

x27 = 18.5278053671000

x28 = 75.0764731318000

x29 = -25.4544917831000

x30 = -82.0031595477000

x31 = 12.2446200600000

x32 = -12.8881211688000

x33 = 46.8021392495000

x34 = -94.5695301621000

x35 = -72.5783815870000

x36 = 49.9437319030000

x37 = 15.3862127136000

x38 = -75.7199742406000

x39 = 5.96143475278000

x40 = -22.3128991295000

x41 = 62.5101025174000

x42 = 43.6605465959000

x43 = -60.0120109726000

x44 = 90.7844363997000

x45 = -0.321750554397000

x46 = -16.0297138223000

x47 = 100.209214360000

x48 = -44.3040477047000

x49 = 34.2357686351000

x50 = -66.2951962798000

x51 = -88.2863448549000

x52 = 9.10302740637000

x53 = 93.9260290533000

x54 = 59.3685098638000

x55 = 97.0676217069000

x56 = 84.5012510925000

x57 = -47.4456403582000

x58 = 37.3773612887000

x59 = -56.8704183190000

x60 = 78.2180657853000

x61 = 27.9525833279000

x62 = -9.74652851517000

x63 = 31.0941759815000

x64 = -100.852715469000

x65 = 40.5189539423000

   
4.33
Hardan
Учусь в Волгоградском Техническом Университете. Рефераты,курсовые,статьи, контрольные и др. выполняю уже в течении 4-х лет.