cos(x)=(sqrt(3))/2

Дано

$$\cos{\left (x \right )} = \frac{\sqrt{3}}{2}$$
Подробное решение
Дано уравнение
$$\cos{\left (x \right )} = \frac{\sqrt{3}}{2}$$
— это простейшее тригонометрическое ур-ние
Это ур-ние преобразуется в
$$x = \pi n + {acos}{\left (\frac{\sqrt{3}}{2} \right )}$$
$$x = \pi n — \pi + {acos}{\left (\frac{\sqrt{3}}{2} \right )}$$
Или
$$x = \pi n + \frac{\pi}{6}$$
$$x = \pi n — \frac{5 \pi}{6}$$
, где n — любое целое число
Ответ

pi
x1 = —
6

$$x_{1} = \frac{\pi}{6}$$
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11*pi
x2 = ——
6

$$x_{2} = \frac{11 \pi}{6}$$
Численный ответ

x1 = 93.7241808321000

x2 = -81.1578102177000

x3 = -30.8923277603000

x4 = 44.5058959259000

x5 = 100.007366139000

x6 = -49.7418836818000

x7 = 37.1755130675000

x8 = -37.1755130675000

x9 = 69.6386371546000

x10 = 88.4881930761000

x11 = 6.80678408278000

x12 = -93.7241808321000

x13 = 1186.99842428000

x14 = -88.4881930761000

x15 = -69.6386371546000

x16 = 62.3082542962000

x17 = 38.2227106187000

x18 = -100.007366139000

x19 = 22832.5718075000

x20 = 49.7418836818000

x21 = -38.2227106187000

x22 = -62.3082542962000

x23 = -43.4586983747000

x24 = -12779.4753160000

x25 = 94.7713783833000

x26 = 194.255145747000

x27 = 81.1578102177000

x28 = -63.3554518474000

x29 = -44.5058959259000

x30 = -87.4409955249000

x31 = -74.8746249106000

x32 = 68.5914396034000

x33 = -7495.31647269000

x34 = 63.3554518474000

x35 = 5.75958653158000

x36 = 50.7890812330000

x37 = -68.5914396034000

x38 = -50.7890812330000

x39 = -12.0427718388000

x40 = -94.7713783833000

x41 = 43.4586983747000

x42 = -0.523598775598000

x43 = 13.0899693900000

x44 = 31.9395253115000

x45 = -56.0250689890000

x46 = -18.3259571459000

x47 = -5.75958653158000

x48 = 75.9218224618000

x49 = -82.2050077689000

x50 = -24.6091424531000

x51 = 57.0722665402000

x52 = 25.6563400043000

x53 = 18.3259571459000

x54 = -57.0722665402000

x55 = -13.0899693900000

x56 = 30.8923277603000

x57 = -101.054563690000

x58 = 56.0250689890000

x59 = -54449.5602732000

x60 = 0.523598775598000

x61 = 19.3731546971000

x62 = 24.6091424531000

x63 = 87.4409955249000

x64 = -6.80678408278000

x65 = 12.0427718388000

x66 = -25.6563400043000

x67 = -19.3731546971000

x68 = -31.9395253115000

x69 = 82.2050077689000

x70 = 74.8746249106000

x71 = -75.9218224618000

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