sin(x)-sin(3*x)=0 (уравнение)

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    Найду корень уравнения: sin(x)-sin(3*x)=0

    Решение

    Вы ввели [src]
    sin(x) - sin(3*x) = 0
    $$\sin{\left (x \right )} - \sin{\left (3 x \right )} = 0$$
    График
    Быстрый ответ [src]
    x1 = 0
    $$x_{1} = 0$$
           3*pi     /log(2)      /  ___\\
    x2 = - ---- + I*|------ - log\\/ 2 /|
            4       \  2                /
    $$x_{2} = - \frac{3 \pi}{4} + i \left(- \log{\left (\sqrt{2} \right )} + \frac{1}{2} \log{\left (2 \right )}\right)$$
         3*pi     /log(2)      /  ___\\
    x3 = ---- + I*|------ - log\\/ 2 /|
          4       \  2                /
    $$x_{3} = \frac{3 \pi}{4} + i \left(- \log{\left (\sqrt{2} \right )} + \frac{1}{2} \log{\left (2 \right )}\right)$$
           pi     /log(2)      /  ___\\
    x4 = - -- + I*|------ - log\\/ 2 /|
           4      \  2                /
    $$x_{4} = - \frac{\pi}{4} + i \left(- \log{\left (\sqrt{2} \right )} + \frac{1}{2} \log{\left (2 \right )}\right)$$
         pi     /log(2)      /  ___\\
    x5 = -- + I*|------ - log\\/ 2 /|
         4      \  2                /
    $$x_{5} = \frac{\pi}{4} + i \left(- \log{\left (\sqrt{2} \right )} + \frac{1}{2} \log{\left (2 \right )}\right)$$
    Численный ответ [src]
    x1 = -77.7544181763000
    x2 = 90.3207887907000
    x3 = -12.5663706144000
    x4 = 78.5398163397000
    x5 = -13.3517687778000
    x6 = -47.9092879672000
    x7 = -128.805298797000
    x8 = 69.9004365424000
    x9 = -25.9181393921000
    x10 = 63.6172512352000
    x11 = 30.6305283725000
    x12 = 84.0376034835000
    x13 = 54.1924732744000
    x14 = 2.35619449019000
    x15 = 43.9822971503000
    x16 = 94.2477796077000
    x17 = -33.7721210261000
    x18 = 10.2101761242000
    x19 = 317.300858013000
    x20 = -98.1747704247000
    x21 = 62.0464549084000
    x22 = 172.002197784000
    x23 = -59.6902604182000
    x24 = -2.35619449019000
    x25 = 87.9645943005000
    x26 = -55.7632696012000
    x27 = 60.4756585816000
    x28 = -54.1924732744000
    x29 = -46.3384916404000
    x30 = 40.0553063333000
    x31 = 41.6261026601000
    x32 = -32.2013246993000
    x33 = -79.3252145031000
    x34 = -18.0641577581000
    x35 = -62.0464549084000
    x36 = -81.6814089933000
    x37 = -21.9911485751000
    x38 = -37.6991118431000
    x39 = 46.3384916404000
    x40 = 21.9911485751000
    x41 = -11.7809724510000
    x42 = 0.0
    x43 = -280.387144333000
    x44 = 85.6083998103000
    x45 = 32.2013246993000
    x46 = 74.6128255228000
    x47 = -63.6172512352000
    x48 = 50.2654824574000
    x49 = -76.1836218496000
    x50 = 18.0641577581000
    x51 = -43.1968989869000
    x52 = 28.2743338823000
    x53 = -43.9822971503000
    x54 = -99.7455667515000
    x55 = -90.3207887907000
    x56 = -69.9004365424000
    x57 = 69.1150383790000
    x58 = 3.92699081699000
    x59 = 72.2566310326000
    x60 = -65.9734457254000
    x61 = -72.2566310326000
    x62 = 98.1747704247000
    x63 = -19.6349540849000
    x64 = 65.9734457254000
    x65 = 24.3473430653000
    x66 = -84.0376034835000
    x67 = -35.3429173529000
    x68 = -41.6261026601000
    x69 = -51.0508806208000
    x70 = -30.6305283725000
    x71 = -91.8915851175000
    x72 = -15.7079632679000
    x73 = 96.6039740979000
    x74 = 25.9181393921000
    x75 = 100.530964915000
    x76 = -24.3473430653000
    x77 = 101.316363078000
    x78 = 76.1836218496000
    x79 = -40.0553063333000
    x80 = -85.6083998103000
    x81 = -57.3340659280000
    x82 = 6.28318530718000
    x83 = -87.9645943005000
    x84 = 47.9092879672000
    x85 = -3.92699081699000
    x86 = 68.3296402156000
    x87 = 19.6349540849000
    x88 = 52.6216769476000
    x89 = -68.3296402156000
    x90 = 91.8915851175000
    x91 = 8.63937979737000
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