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-2sinx-2cos2x=0

-2sinx-2cos2x=0 уравнение

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Численное решение:

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Решение

Вы ввели [src]
-2*sin(x) - 2*cos(2*x) = 0
$$- 2 \sin{\left(x \right)} - 2 \cos{\left(2 x \right)} = 0$$
График
Быстрый ответ [src]
      -5*pi
x_1 = -----
        6  
$$x_{1} = - \frac{5 \pi}{6}$$
      -pi 
x_2 = ----
       6  
$$x_{2} = - \frac{\pi}{6}$$
      pi
x_3 = --
      2 
$$x_{3} = \frac{\pi}{2}$$
Сумма и произведение корней [src]
сумма
-5*pi   -pi    pi
----- + ---- + --
  6      6     2 
$$\left(- \frac{5 \pi}{6}\right) + \left(- \frac{\pi}{6}\right) + \left(\frac{\pi}{2}\right)$$
=
-pi 
----
 2  
$$- \frac{\pi}{2}$$
произведение
-5*pi   -pi    pi
----- * ---- * --
  6      6     2 
$$\left(- \frac{5 \pi}{6}\right) * \left(- \frac{\pi}{6}\right) * \left(\frac{\pi}{2}\right)$$
=
    3
5*pi 
-----
  72 
$$\frac{5 \pi^{3}}{72}$$
Численный ответ [src]
x1 = -40.317105721069
x2 = -21.4675497995303
x3 = 64.402649309204
x4 = -48.6946859199052
x5 = -17.2787597988071
x6 = 97.9129710368819
x7 = -36.1283154198995
x8 = 66.497044500984
x9 = -31.9395253114962
x10 = 93.7241808320955
x11 = 83.2522056280779
x12 = 89.5353908426683
x13 = 32.986722670018
x14 = -67.5442421664985
x15 = 51.8362788989008
x16 = -23.5619450081821
x17 = 72.7802298081635
x18 = 30.8923277602996
x19 = -80.1106125800495
x20 = -78.0162175641465
x21 = 95.8185760576709
x22 = -84.2994028713261
x23 = -29.8451300966669
x24 = 14.1371671029003
x25 = -63.3554518473942
x26 = -92.6769830653709
x27 = 76.9690198127977
x28 = -142.942465507123
x29 = -75.9218224617533
x30 = -54.9778719400612
x31 = -44.5058959258554
x32 = -59.1666616426078
x33 = -34.0339204138894
x34 = -38.2227106186758
x35 = -4.71238877564271
x36 = -10.9955748250458
x37 = 60.2138591938044
x38 = 5.75958653158129
x39 = 74.8746249105567
x40 = 53.9306738866248
x41 = 20.4203521503825
x42 = 18.3259571459405
x43 = -90.5825881785057
x44 = 62.3082542961976
x45 = -2.61799387799149
x46 = -42.4115006190379
x47 = 12.0427718387609
x48 = -98.9601689600088
x49 = -69.6386371545737
x50 = 3.66519142918809
x51 = 56.025068989018
x52 = 68.5914396033772
x53 = 41.3643032722656
x54 = -19.3731546971371
x55 = -13.0899693899575
x56 = 83.2522055084245
x57 = -73.8274272801063
x58 = -0.523598775598299
x59 = 629.88932728012
x60 = -86.3937977736525
x61 = 9.94837673636768
x62 = 45.5530936891365
x63 = -71.733032256967
x64 = -88.4881930761125
x65 = 7.85398173972726
x66 = -65.4498469497874
x67 = 49.7418836818384
x68 = -54.9778716096663
x69 = 22.5147473507269
x70 = 16.2315620435473
x71 = -10.9955744709241
x72 = -46.6002910282486
x73 = -61.2610569525587
x74 = -27.7507351067098
x75 = 85.3466004225227
x76 = -57.0722665402146
x77 = 70.6858345098172
x78 = 58.1194644720255
x79 = -98.9601687457423
x80 = 47.6474885794452
x81 = -82.2050077689329
x82 = -25.6563400043166
x83 = 100.007366139275
x84 = 24.60914245312
x85 = 39.2699083672181
x86 = 91.6297857297023
x87 = 1.57079653522944
x88 = 26.7035373553251
x88 = 26.7035373553251
График
-2sinx-2cos2x=0 уравнение