cos(x)=-1/3

Дано

$$\cos{\left (x \right )} = — \frac{1}{3}$$
Подробное решение
Дано уравнение
$$\cos{\left (x \right )} = — \frac{1}{3}$$
— это простейшее тригонометрическое ур-ние
Это ур-ние преобразуется в
$$x = \pi n + {acos}{\left (- \frac{1}{3} \right )}$$
$$x = \pi n — \pi + {acos}{\left (- \frac{1}{3} \right )}$$
Или
$$x = \pi n + {acos}{\left (- \frac{1}{3} \right )}$$
$$x = \pi n — \pi + {acos}{\left (- \frac{1}{3} \right )}$$
, где n — любое целое число
Читайте также  75*x=0
Ответ
$$x_{1} = — {acos}{\left (- \frac{1}{3} \right )} + 2 \pi$$

x2 = acos(-1/3)

$$x_{2} = {acos}{\left (- \frac{1}{3} \right )}$$
Численный ответ

x1 = 52.1761156937000

x2 = 35.7884786068000

x3 = 71.0256716152000

x4 = 27.0433744650000

x5 = 67.2044051427000

x6 = -96.1584128439000

x7 = 54.6380345284000

x8 = 1.91063323625000

x9 = -35.7884786068000

x10 = -33.3265597721000

x11 = -48.3548492212000

x12 = 79.7707757571000

x13 = -83.5920422296000

x14 = 33.3265597721000

x15 = 23.2221079925000

x16 = 58.4593010009000

x17 = 77.3088569224000

x18 = -39.6097450793000

x19 = -23.2221079925000

x20 = 8.19381854343000

x21 = -27.0433744650000

x22 = -64.7424863080000

x23 = -20.7601891578000

x24 = 92.3371463714000

x25 = 86.0539610643000

x26 = 96.1584128439000

x27 = -58.4593010009000

x28 = -86.0539610643000

x29 = -4.37255207093000

x30 = -92.3371463714000

x31 = -60.9212198355000

x32 = 14.4770038506000

x33 = -73.4875904499000

x34 = 89.8752275368000

x35 = 73.4875904499000

x36 = 48.3548492212000

x37 = 42.0716639140000

x38 = -77.3088569224000

x39 = 20.7601891578000

x40 = -71.0256716152000

x41 = 16.9389226853000

x42 = -52.1761156937000

x43 = 2304.01837450000

x44 = -89.8752275368000

x45 = -10.6557373781000

x46 = -971.983089377000

x47 = -79.7707757571000

x48 = -67.2044051427000

x49 = 98.6203316786000

x50 = -2760.22898309000

x51 = 64.7424863080000

x52 = -54.6380345284000

x53 = 60.9212198355000

x54 = 10.6557373781000

x55 = -42.0716639140000

x56 = -14.4770038506000

x57 = 39.6097450793000

x58 = -29.5052932996000

x59 = 83.5920422296000

x60 = -45.8929303865000

x61 = -8.19381854343000

x62 = 4.37255207093000

x63 = 29.5052932996000

x64 = 45.8929303865000

x65 = -98.6203316786000

x66 = -16.9389226853000

x67 = -1.91063323625000

1 Звезда2 Звезды3 Звезды4 Звезды5 Звезд (Пока оценок нет)
Загрузка...