Дано

$$sin{left (frac{x}{2} right )} 4 cos{left (frac{x}{2} right )} = – sqrt{3}$$
Ответ

-2*pi
x1 = —–
3

$$x_{1} = – frac{2 pi}{3}$$

-pi
x2 = —-
3

$$x_{2} = – frac{pi}{3}$$

4*pi
x3 = —-
3

$$x_{3} = frac{4 pi}{3}$$

/ ___
x4 = 4*atan2 + / 3 /

$$x_{4} = 4 {atan}{left (sqrt{3} + 2 right )}$$
Численный ответ

x1 = -70.1622359302000

x2 = -20.9439510239000

x3 = -1579.17390720000

x4 = 11.5191730632000

x5 = -57.5958653158000

x6 = -89.0117918517000

x7 = 393.746279250000

x8 = 93.2005820565000

x9 = 29.3215314335000

x10 = 98.4365698125000

x11 = 41.8879020479000

x12 = 75993.0318952000

x13 = 86.9173967493000

x14 = -13.6135681656000

x15 = 10.4719755120000

x16 = -63.8790506230000

x17 = -38.7463093943000

x18 = 61.7846555206000

x19 = -51.3126800086000

x20 = -83.7758040957000

x21 = 23.0383461263000

x22 = 99.4837673637000

x23 = -64.9262481742000

x24 = -71.2094334814000

x25 = 60.7374579694000

x26 = -52.3598775598000

x27 = -77.4926187885000

x28 = -39.7935069455000

x29 = -76.4454212374000

x30 = 92.1533845053000

x31 = 35.6047167407000

x32 = -32.4631240871000

x33 = 73.3038285838000

x34 = 4.18879020479000

x35 = 67.0206432766000

x36 = 36.6519142919000

x37 = 54.4542726622000

x38 = -2.09439510239000

x39 = 74.3510261350000

x40 = 49.2182849062000

x41 = -27.2271363311000

x42 = -151.843644924000

x43 = -33.5103216383000

x44 = -82.7286065445000

x45 = 68.0678408278000

x46 = -96.3421747101000

x47 = 55.5014702134000

x48 = -46.0766922527000

x49 = -26.1799387799000

x50 = -114.144533080000

x51 = -8.37758040957000

x52 = 24.0855436775000

x53 = 5.23598775598000

x54 = 85.8701991981000

x55 = 42.9350995991000

x56 = 48.1710873550000

x57 = 80.6342114421000

x58 = -19.8967534727000

x59 = -95.2949771589000

x60 = 16.7551608191000

x61 = -101.578162466000

x62 = -1.04719755120000

x63 = -90.0589894029000

x64 = -7.33038285838000

x65 = -58.6430628670000

x66 = -45.0294947015000

x67 = 17.8023583703000

x68 = -14.6607657168000

x69 = 79.5870138909000

x70 = 30.3687289847000

   
5.0
user2405703
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