tan(2*x)=cot(x) (уравнение)

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

Вы ввели

tan(2*x) = cot(x)

$$\tan{\left (2 x \right )} = \cot{\left (x \right )}$$

Быстрый ответ

     -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

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

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