sin(3*x)=sin(x) (уравнение)

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

Вы ввели

sin(3*x) = sin(x)

$$\sin{\left (3 x \right )} = \sin{\left (x \right )}$$

Быстрый ответ

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

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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