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(2cos^2(x)+sin(x)-2)*sqrt(tg(x))=0

(2cos^2(x)+sin(x)-2)*sqrt(tg(x))=0 уравнение

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Численное решение:

Искать численное решение на промежутке [, ]

Решение

Вы ввели [src]
/     2                \   ________    
\2*cos (x) + sin(x) - 2/*\/ tan(x)  = 0
$$\left(2 \cos^{2}{\left(x \right)} + \sin{\left(x \right)} - 2\right) \sqrt{\tan{\left(x \right)}} = 0$$
График
Быстрый ответ [src]
x_1 = 0
$$x_{1} = 0$$
      pi
x_2 = --
      6 
$$x_{2} = \frac{\pi}{6}$$
      5*pi
x_3 = ----
       6  
$$x_{3} = \frac{5 \pi}{6}$$
Сумма и произведение корней [src]
сумма
    pi   5*pi
0 + -- + ----
    6     6  
$$\left(0\right) + \left(\frac{\pi}{6}\right) + \left(\frac{5 \pi}{6}\right)$$
=
pi
$$\pi$$
произведение
    pi   5*pi
0 * -- * ----
    6     6  
$$\left(0\right) * \left(\frac{\pi}{6}\right) * \left(\frac{5 \pi}{6}\right)$$
=
0
$$0$$
Численный ответ [src]
x1 = 3.14159265399453
x2 = 40.317105721069
x3 = 47.1238898042683
x4 = 31.4159265350676
x5 = 87.9645943005169
x6 = -97.9129710368819
x7 = -59.6902604182063
x8 = 53.4070751112506
x9 = 12.5663706142796
x10 = -5.75958653158129
x11 = 84.2994028713261
x12 = -12.0427718387609
x13 = 15.1843644923507
x14 = 21.9911485751315
x15 = -24.60914245312
x16 = -56.5486677655704
x17 = -100.007366139275
x18 = 52.8834763354282
x19 = -40.8407044962784
x20 = -79.0634151153431
x21 = 25.1327412283384
x22 = 90.5825881785057
x23 = 28.2743338823059
x24 = -62.8318530722078
x25 = -28.2743338822254
x26 = -72.2566310324888
x27 = -81.6814089933471
x28 = -12.5663706152473
x29 = 81.6814089899804 + 3.46676475101398e-9*i
x30 = -18.8495559219343
x31 = -72.7802298081635
x32 = -3.1415926526542
x33 = -47.6474885794452
x34 = 18.8495559213399
x35 = 2.61799387799149
x36 = 37.6991118405158 + 5.17403321343061e-9*i
x37 = 62.8318530716058
x38 = 25.6563400043166
x39 = -43.9822971502619 + 6.84388320079325e-12*i
x40 = 94.2477796076942 + 1.56897037448162e-14*i
x41 = 59.6902604183019
x42 = -75.3982236862471
x43 = -35.081117965086
x44 = 69.6386371545737
x45 = -87.9645943005151 + 1.75240157168783e-11*i
x46 = -65.9734457253947 + 3.38138064852427e-12*i
x47 = -85.3466004225227
x48 = 78.0162175641465
x49 = -47.1238898029769
x50 = -37.6991118430866
x51 = 46.6002910282486
x52 = -49.7418836818384
x53 = -84.8230016465504
x54 = 100.530964914806
x55 = -31.4159265359837
x56 = -34.5575191892821
x57 = 63.3554518473942
x58 = 65.9734457253937
x59 = 8.90117918517108
x60 = 56.5486677645427
x61 = 75.9218224617533
x62 = -18.3259571459405
x63 = 96.8657734856853
x64 = 91.1061869545431
x65 = -62.3082542961976
x66 = 0.0
x67 = -91.1061869532915
x68 = 75.3982236853759
x69 = -68.5914396033772
x70 = 31.9395253114962
x71 = 50.265482457434
x72 = 59.1666616426078
x73 = 43.9822971502596
x74 = 15.7079632680382
x75 = 38.2227106186758
x76 = 84.8230016480226
x77 = -53.9306738866248
x78 = 40.8407044976782
x79 = -41.3643032722656
x80 = -78.5398163395482
x81 = 6.28318530717377
x82 = 69.1150383786103
x83 = -56.025068989018
x84 = -93.7241808320955
x85 = 97.3893722615173
x86 = 82.2050077689329
x87 = -25.1327412289262
x88 = -9.94837673636768
x89 = -21.9911485751319 + 6.90991061895557e-13*i
x90 = -91.6297857297023
x91 = -69.1150383791925
x92 = -3.66519142918809
x93 = 72.2566310325643
x94 = 34.0339204138894
x95 = 9.42477796098415
x96 = 19.3731546971371
x97 = -15.7079632679513
x97 = -15.7079632679513
График
(2cos^2(x)+sin(x)-2)*sqrt(tg(x))=0 уравнение