tan(2*x)=cot(x) (уравнение)

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    Найду корень уравнения: tan(2*x)=cot(x)

    Решение

    Вы ввели [src]
    tan(2*x) = cot(x)
    $$\tan{\left (2 x \right )} = \cot{\left (x \right )}$$
    График
    Быстрый ответ [src]
         -pi 
    x1 = ----
          2  
    $$x_{1} = - \frac{\pi}{2}$$
         pi
    x2 = --
         2 
    $$x_{2} = \frac{\pi}{2}$$
               /        ___\
               |  I   \/ 3 |
    x3 = -I*log|- - - -----|
               \  2     2  /
    $$x_{3} = - i \log{\left (- \frac{\sqrt{3}}{2} - \frac{i}{2} \right )}$$
               /      ___\
               |I   \/ 3 |
    x4 = -I*log|- - -----|
               \2     2  /
    $$x_{4} = - i \log{\left (- \frac{\sqrt{3}}{2} + \frac{i}{2} \right )}$$
               /  ___    \
               |\/ 3    I|
    x5 = -I*log|----- - -|
               \  2     2/
    $$x_{5} = - i \log{\left (\frac{\sqrt{3}}{2} - \frac{i}{2} \right )}$$
               /      ___\
               |I   \/ 3 |
    x6 = -I*log|- + -----|
               \2     2  /
    $$x_{6} = - i \log{\left (\frac{\sqrt{3}}{2} + \frac{i}{2} \right )}$$
    Численный ответ [src]
    x1 = -3.66519142919000
    x2 = -100.007366139000
    x3 = -95.8185759345000
    x4 = 71.7330322570000
    x5 = -36.1283155163000
    x6 = 88.4881930761000
    x7 = -69.6386371546000
    x8 = 18.3259571459000
    x9 = -21.4675497995000
    x10 = -60.2138591938000
    x11 = -43.4586983747000
    x12 = 36.1283155163000
    x13 = -71.7330322570000
    x14 = 80.1106126665000
    x15 = 34.0339204139000
    x16 = 23.5619449019000
    x17 = 51.8362787842000
    x18 = -12.0427718388000
    x19 = 14.1371669412000
    x20 = 31.9395253115000
    x21 = -5.75958653158000
    x22 = -51.8362787842000
    x23 = -47.6474885794000
    x24 = -7.85398163397000
    x25 = 89.5353906273000
    x26 = -23.5619449019000
    x27 = 48.6946861306000
    x28 = 29.8451302091000
    x29 = 42.4115008235000
    x30 = -31.9395253115000
    x31 = -25.6563400043000
    x32 = -75.9218224618000
    x33 = 5.75958653158000
    x34 = -27.7507351067000
    x35 = 45.5530934771000
    x36 = 92.6769832809000
    x37 = 62.3082542962000
    x38 = 22.5147473507000
    x39 = -80.1106126665000
    x40 = -58.1194640914000
    x41 = 49.7418836818000
    x42 = -38.2227106187000
    x43 = 64.4026493986000
    x44 = -83.2522053201000
    x45 = 86.3937979737000
    x46 = 26.7035375555000
    x47 = 66.4970445010000
    x48 = 97.9129710369000
    x49 = 75.9218224618000
    x50 = -16.2315620435000
    x51 = 12.0427718388000
    x52 = -67.5442420522000
    x53 = -34.0339204139000
    x54 = -97.9129710369000
    x55 = -86.3937979737000
    x56 = 78.0162175641000
    x57 = -1.57079632679000
    x58 = -91.6297857297000
    x59 = 16.2315620435000
    x60 = 67.5442420522000
    x61 = 100.007366139000
    x62 = -17.2787595947000
    x63 = 84.2994028713000
    x64 = -49.7418836818000
    x65 = -93.7241808321000
    x66 = 9.94837673637000
    x67 = -45.5530934771000
    x68 = 4.71238898038000
    x69 = -87.4409955249000
    x70 = 7.85398163397000
    x71 = -39.2699081699000
    x72 = -73.8274273594000
    x73 = -14.1371669412000
    x74 = -65.4498469498000
    x75 = -56.0250689890000
    x76 = 56.0250689890000
    x77 = -82.2050077689000
    x78 = -61.2610567450000
    x79 = -9.94837673637000
    x80 = 82.2050077689000
    x81 = 20.4203522483000
    x82 = -29.8451302091000
    x83 = 44.5058959259000
    x84 = -78.0162175641000
    x85 = -89.5353906273000
    x86 = 38.2227106187000
    x87 = -42.4115008235000
    x88 = 58.1194640914000
    x89 = 95.8185759345000
    x90 = 40.3171057211000
    x91 = 73.8274273594000
    x92 = -53.9306738866000
    x93 = 93.7241808321000
    x94 = 70.6858347058000
    x95 = -64.4026493986000
    x96 = 53.9306738866000
    x97 = -20.4203522483000
    x98 = 27.7507351067000
    x99 = 60.2138591938000
    x100 = 1.57079632679000