sqrt(3)/2*cos(x)-1/2*sin(x)=1 (уравнение)

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    Найду корень уравнения: sqrt(3)/2*cos(x)-1/2*sin(x)=1

    Решение

    Вы ввели [src]
      ___                    
    \/ 3           sin(x)    
    -----*cos(x) - ------ = 1
      2              2       
    $$- \frac{1}{2} \sin{\left (x \right )} + \frac{\sqrt{3}}{2} \cos{\left (x \right )} = 1$$
    График
    Быстрый ответ [src]
                /    1    \
    x1 = -2*atan|---------|
                |      ___|
                \2 + \/ 3 /
    $$x_{1} = - 2 \operatorname{atan}{\left (\frac{1}{\sqrt{3} + 2} \right )}$$
    Численный ответ [src]
    x1 = 18.3259570922000
    x2 = 68.5914401281000
    x3 = 5.75958602166000
    x4 = 43.4586986685000
    x5 = 5.75958669177000
    x6 = -50.7890808478000
    x7 = 49.7418831720000
    x8 = 49.7418838507000
    x9 = 30.8923274292000
    x10 = -13.0899698152000
    x11 = -31.9395249197000
    x12 = 30.8923274488000
    x13 = -50.7890816533000
    x14 = 62.3082542518000
    x15 = 56.0250685165000
    x16 = -13.0899689204000
    x17 = 56.0250693531000
    x18 = -101.054563229000
    x19 = -264.417382420000
    x20 = -88.4881935652000
    x21 = -44.5058964120000
    x22 = 81.1578098134000
    x23 = -0.523599258722000
    x24 = -94.7713780040000
    x25 = -44.5058967206000
    x26 = -63.3554510009000
    x27 = 30.8923282337000
    x28 = 24.6091430776000
    x29 = 156.556034517000
    x30 = -38.2227104673000
    x31 = -63.3554513359000
    x32 = -82.2050076265000
    x33 = -75.9218220576000
    x34 = -57.0722660747000
    x35 = 5.75958726102000
    x36 = -57.0722668653000
    x37 = 18.3259568918000
    x38 = -88.4881928040000
    x39 = -69.6386366481000
    x40 = 24.6091422606000
    x41 = -82.2050077428000
    x42 = 87.4409950484000
    x43 = 18.3259576466000
    x44 = -25.6563395006000
    x45 = -88.4881942810000
    x46 = -63.3554520558000
    x47 = -25.6563400675000
    x48 = 93.7241803226000
    x49 = 93.7241810095000
    x50 = 12.0427713721000
    x51 = 68.5914401185000
    x52 = -38.2227111284000
    x53 = 62.3082547933000
    x54 = -19.3731541842000
    x55 = 100.007366113000
    x56 = 100.007365661000
    x57 = 12.0427717586000
    x58 = 37.1755126578000
    x59 = 301.069297156000
    x60 = -82.2050082782000
    x61 = 87.4409958258000
    x62 = -38.2227106681000
    x63 = 56.0250690188000
    x64 = 56.0250689462000
    x65 = -6.80678449781000
    x66 = -31.9395254633000
    x67 = 62.3082540188000
    x68 = 43.4586978948000
    x69 = -75.9218228133000
    x70 = 5.75958643109000
    x71 = 12.0427722173000
    x72 = 81.1578093178000
    x73 = -69.6386373560000
    x74 = -75.9218229148000
    x75 = 24.6091429673000
    x76 = -13.0899697083000
    x77 = 81.1578106202000
    x78 = -6.80678369171000
    x79 = 37.1755134643000
    x80 = -69.6386372271000
    x81 = -31.9395257717000
    x82 = -19.3731548977000
    x83 = 93.7241806087000
    x84 = 68.5914394189000
    x85 = -19.3731539651000
    x86 = 74.8746253877000
    x87 = -44.5058956464000
    x88 = 49.7418835231000
    x89 = -57.0722665894000
    x90 = -94.7713788086000
    x91 = -25.6563402332000
    x92 = -0.523598488936000
    x93 = 74.8746246059000
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