cos(x)+sin(2*x)=0 (уравнение)

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    Найду корень уравнения: cos(x)+sin(2*x)=0

    Решение

    Вы ввели [src]
    cos(x) + sin(2*x) = 0
    $$\sin{\left (2 x \right )} + \cos{\left (x \right )} = 0$$
    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  /
    $$x_{3} = - i \log{\left (- \frac{\sqrt{3}}{2} - \frac{i}{2} \right )}$$
               /  ___    \
               |\/ 3    I|
    x4 = -I*log|----- - -|
               \  2     2/
    $$x_{4} = - i \log{\left (\frac{\sqrt{3}}{2} - \frac{i}{2} \right )}$$
    Численный ответ [src]
    x1 = -69.6386371546000
    x2 = -88.4881930761000
    x3 = 51.8362787842000
    x4 = 100.007366139000
    x5 = -78.0162175641000
    x6 = -38.2227106187000
    x7 = -17.2787595947000
    x8 = -15.1843644924000
    x9 = 37.1755130675000
    x10 = 45.5530934771000
    x11 = -89.5353906273000
    x12 = 72.7802298082000
    x13 = -40.3171057211000
    x14 = 28.7979326579000
    x15 = -46.6002910282000
    x16 = 9.94837673637000
    x17 = 62.3082542962000
    x18 = 97.9129710369000
    x19 = 218.340689424000
    x20 = -21.4675497995000
    x21 = -29.8451302091000
    x22 = -80.1106126665000
    x23 = 73.8274273594000
    x24 = -58.1194640914000
    x25 = 49.7418836818000
    x26 = 1.57079632679000
    x27 = -95.8185759345000
    x28 = 95.8185759345000
    x29 = -36.1283155163000
    x30 = -64.4026493986000
    x31 = 36.1283155163000
    x32 = -71.7330322570000
    x33 = -14.1371669412000
    x34 = 80.1106126665000
    x35 = 89.5353906273000
    x36 = -94.7713783833000
    x37 = 7.85398163397000
    x38 = 93.7241808321000
    x39 = 5.75958653158000
    x40 = 64.4026493986000
    x41 = -50.7890812330000
    x42 = -73.8274273594000
    x43 = -65.4498469498000
    x44 = 43.4586983747000
    x45 = -63.3554518474000
    x46 = -0.523598775598000
    x47 = 26.7035375555000
    x48 = 86.3937979737000
    x49 = 48.6946861306000
    x50 = 66.4970445010000
    x51 = 22.5147473507000
    x52 = -82.2050077689000
    x53 = -44.5058959259000
    x54 = -45.5530934771000
    x55 = -84.2994028713000
    x56 = 18.3259571459000
    x57 = -27.7507351067000
    x58 = -67.5442420522000
    x59 = 70.6858347058000
    x60 = -59.1666616426000
    x61 = -61.2610567450000
    x62 = -51.8362787842000
    x63 = -34.0339204139000
    x64 = 53.9306738866000
    x65 = -86.3937979737000
    x66 = 56.0250689890000
    x67 = -42.4115008235000
    x68 = 20.4203522483000
    x69 = 87.4409955249000
    x70 = 14.1371669412000
    x71 = -7.85398163397000
    x72 = -1.57079632679000
    x73 = -23.5619449019000
    x74 = 12.0427718388000
    x75 = 60.2138591938000
    x76 = 29.8451302091000
    x77 = 42.4115008235000
    x78 = -31.9395253115000
    x79 = -25.6563400043000
    x80 = 58.1194640914000
    x81 = 16.2315620435000
    x82 = -75.9218224618000
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