Дано

$$cos{left (x right )} = frac{4}{5}$$
Подробное решение
Дано уравнение
$$cos{left (x right )} = frac{4}{5}$$
– это простейшее тригонометрическое ур-ние
Это ур-ние преобразуется в
$$x = pi n + {acos}{left (frac{4}{5} right )}$$
$$x = pi n – pi + {acos}{left (frac{4}{5} right )}$$
Или
$$x = pi n + {acos}{left (frac{4}{5} right )}$$
$$x = pi n – pi + {acos}{left (frac{4}{5} right )}$$
, где n – любое целое число
Ответ
$$x_{1} = – {acos}{left (frac{4}{5} right )} + 2 pi$$

x2 = acos(4/5)

$$x_{2} = {acos}{left (frac{4}{5} right )}$$
Численный ответ

x1 = -43.3387960415000

x2 = -81.0379078845000

x3 = -55.9051666558000

x4 = 19.4930570303000

x5 = 5.63968419839000

x6 = 37.0556107343000

x7 = 99.8874638061000

x8 = 25.7762423375000

x9 = -30.7724254271000

x10 = 18.2060548127000

x11 = -37.0556107343000

x12 = -5.63968419839000

x13 = 82.3249101021000

x14 = 88.6080954093000

x15 = -82.3249101021000

x16 = -50.9089835662000

x17 = -94.8912807165000

x18 = 13.2098717232000

x19 = -6.92668641597000

x20 = -13.2098717232000

x21 = -49.6219813486000

x22 = 63.4753541806000

x23 = 87.3210931917000

x24 = 74.7547225774000

x25 = -88.6080954093000

x26 = 11.9228695056000

x27 = -69.7585394878000

x28 = 76.0417247949000

x29 = -76.0417247949000

x30 = 6.92668641597000

x31 = -63.4753541806000

x32 = -18.2060548127000

x33 = 69.7585394878000

x34 = 49.6219813486000

x35 = 50.9089835662000

x36 = 68.4715372702000

x37 = -93.6042784989000

x38 = -62.1883519630000

x39 = -25.7762423375000

x40 = 24.4892401199000

x41 = -101.174466024000

x42 = 81.0379078845000

x43 = -19.4930570303000

x44 = -24.4892401199000

x45 = 94.8912807165000

x46 = 38.3426129519000

x47 = 62.1883519630000

x48 = 4265.63932247000

x49 = -68.4715372702000

x50 = -44.6257982591000

x51 = 43.3387960415000

x52 = -32.0594276447000

x53 = -74.7547225774000

x54 = 57.1921688734000

x55 = 0.643501108793000

x56 = -87.3210931917000

x57 = -11.9228695056000

x58 = -57.1921688734000

x59 = 32.0594276447000

x60 = 55.9051666558000

x61 = 30.7724254271000

x62 = -38.3426129519000

x63 = 44.6257982591000

x64 = -99.8874638061000

x65 = -0.643501108793000

x66 = 93.6042784989000

   
4.13
margo200
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