Решите уравнение (cos(x)-sin(x))^2-sin(4*x)=1 ((косинус от (х) минус синус от (х)) в квадрате минус синус от (4 умножить на х) равно 1) - Найдите корень уравнения подробно по-шагам. [Есть ОТВЕТ!]

(cos(x)-sin(x))^2-sin(4*x)=1 (уравнение)

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    Найду корень уравнения: (cos(x)-sin(x))^2-sin(4*x)=1

    Решение

    Вы ввели [src]
                     2               
    (cos(x) - sin(x))  - sin(4*x) = 1
    $$\left(- \sin{\left(x \right)} + \cos{\left(x \right)}\right)^{2} - \sin{\left(4 x \right)} = 1$$
    График
    Численный ответ [src]
    x1 = -36.6519142919000
    x2 = -95.8185759345000
    x3 = 87.9645943005000
    x4 = 48.1710873550000
    x5 = 36.1283155163000
    x6 = 92.1533845053000
    x7 = 80.1106126665000
    x8 = 26.1799387799000
    x9 = 75.3982236862000
    x10 = -2.09439510239000
    x11 = -33.5103216383000
    x12 = 39.7935069455000
    x13 = 32.4631240871000
    x14 = 68.0678408278000
    x15 = -92.1533845053000
    x16 = -51.8362787842000
    x17 = -19.8967534727000
    x18 = -7.85398163397000
    x19 = -90.0589894029000
    x20 = -105.243353895000
    x21 = 17.8023583703000
    x22 = -4.18879020479000
    x23 = -55.5014702134000
    x24 = 94.2477796077000
    x25 = 20.9439510239000
    x26 = 61.7846555206000
    x27 = -80.1106126665000
    x28 = -61.7846555206000
    x29 = -58.1194640914000
    x30 = -77.4926187885000
    x31 = 57.5958653158000
    x32 = 54.4542726622000
    x33 = -23.0383461263000
    x34 = -46.0766922527000
    x35 = 43.9822971503000
    x36 = 83.7758040957000
    x37 = -37.6991118431000
    x38 = 101.578162466000
    x39 = 21.9911485751000
    x40 = 70.1622359302000
    x41 = 0.0
    x42 = -94.2477796077000
    x43 = 86.3937979737000
    x44 = -17.8023583703000
    x45 = -68.0678408278000
    x46 = 50.2654824574000
    x47 = -63.8790506230000
    x48 = -59.6902604182000
    x49 = 28.2743338823000
    x50 = -43.9822971503000
    x51 = -41.8879020479000
    x52 = -81.6814089933000
    x53 = 72.2566310326000
    x54 = 46.0766922527000
    x55 = -65.9734457254000
    x56 = -72.2566310326000
    x57 = -73.8274273594000
    x58 = -14.1371669412000
    x59 = -98.9601685881000
    x60 = -11.5191730632000
    x61 = -49.2182849062000
    x62 = 96.3421747101000
    x63 = -24.0855436775000
    x64 = -21.9911485751000
    x65 = -5.23598775598000
    x66 = -15.7079632679000
    x67 = -70.1622359302000
    x68 = 98.4365698125000
    x69 = 65.9734457254000
    x70 = 10.4719755120000
    x71 = -29.3215314335000
    x72 = 90.0589894029000
    x73 = -83.7758040957000
    x74 = -29.8451302091000
    x75 = 58.1194640914000
    x76 = -39.7935069455000
    x77 = 2.09439510239000
    x78 = 14.1371669412000
    x79 = -85.8701991981000
    x80 = 4.18879020479000
    x81 = -9.42477796077000
    x82 = 6.28318530718000
    x83 = -87.9645943005000
    x84 = 76.4454212374000
    x85 = -99.4837673637000
    x86 = -48.1710873550000
    x87 = -26.1799387799000
    x88 = 24.0855436775000
    x89 = 333.008821281000
    x90 = -7.33038285838000
    График
    (cos(x)-sin(x))^2-sin(4*x)=1 (уравнение) /media/krcore-image-pods/hash/equation/e/df/84e8bdbf0f06d64bb9c0ea0ae950f.png
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