Sr Examen

Otras calculadoras

sin(8x)+sin(10x)+cosx=0 la ecuación

El profesor se sorprenderá mucho al ver tu solución correcta😉

v

Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
sin(8*x) + sin(10*x) + cos(x) = 0
$$\left(\sin{\left(8 x \right)} + \sin{\left(10 x \right)}\right) + \cos{\left(x \right)} = 0$$
Gráfica
Respuesta rápida [src]
     -pi 
x1 = ----
      2  
$$x_{1} = - \frac{\pi}{2}$$
     pi
x2 = --
     2 
$$x_{2} = \frac{\pi}{2}$$
x2 = pi/2
Suma y producto de raíces [src]
suma
  pi   pi
- -- + --
  2    2 
$$- \frac{\pi}{2} + \frac{\pi}{2}$$
=
0
$$0$$
producto
-pi  pi
----*--
 2   2 
$$- \frac{\pi}{2} \frac{\pi}{2}$$
=
   2 
-pi  
-----
  4  
$$- \frac{\pi^{2}}{4}$$
-pi^2/4
Respuesta numérica [src]
x1 = 64.1699388316582
x2 = -53.8143186031585
x3 = -63.8208729812593
x4 = 80.226967950006
x5 = -14.0208116576878
x6 = -49.8582389653047
x7 = 83.4849158870621
x8 = -95.7022206510224
x9 = -33.8012098469569
x10 = 4.13061256305325
x11 = 20.1876416814011
x12 = -79.8779020996072
x13 = 71.8493875404332
x14 = 52.0689893511642
x15 = -93.8405361155618
x16 = 94.1896019659606
x17 = 36.2446707997489
x18 = 7.85398163397448
x19 = 48.1129097133104
x20 = -37.7572894848107
x21 = -31.7068147445637
x22 = -29.845130209103
x23 = -45.6694487605183
x24 = 40.2007504376027
x25 = 29.9614854925693
x26 = 18.0932465790079
x27 = 98.1456816038145
x28 = -69.8713477215063
x29 = -19.8385758310022
x30 = -97.7966157534156
x31 = 50.2073048157035
x32 = 76.0381777452196
x33 = -35.89560494935
x34 = 14.1371669411541
x35 = 86.277442690253
x36 = 58.1194640914112
x37 = 92.0952068635675
x38 = 62.075543729265
x39 = 70.2204135719052
x40 = -99.8910108558088
x41 = -41.9460796895971
x42 = -65.2171363828548
x43 = 10.1810873033003
x44 = -23.794655468856
x45 = -15.6497856262158
x46 = 100.240076706208
x47 = 2.03621746066005
x48 = -21.7002603664628
x49 = -88.0227719422474
x50 = 15.9988514766147
x51 = -83.833981737461
x52 = 22.2820367837943
x53 = 43.6914089415914
x54 = 59.9811486268718
x55 = -47.7638438629115
x56 = 26.7035375555132
x57 = -5.87594181504758
x58 = -76.1545330286859
x59 = -17.744180728609
x60 = 8.08669220090706
x61 = -61.0283461780684
x62 = -91.7461410131686
x63 = 90.0008117611743
x64 = -77.7835069972139
x65 = -51.7199235007653
x66 = 84.1830475878598
x67 = 42.2951455399959
x68 = -67.7769526191131
x69 = 78.1325728476128
x70 = -61.7264778788661
x71 = 56.2577795559506
x72 = -0.0581776417331443
x73 = 24.1437213192549
x74 = 73.9437826428264
x75 = -58.0031088079449
x76 = 32.0558805949625
x77 = 46.0185146109172
x78 = -1.68715161026119
x79 = -81.7395866350678
x80 = -27.9834456736424
x81 = 95.8185759344887
x82 = -71.9657428238995
x83 = -7.73762635050819
x84 = -9.83202145290139
x85 = -73.8274273593601
x86 = 54.1633844535574
x87 = -89.5353906273091
x88 = 32.9867228626928
x89 = 68.126018469512
x90 = 86.5101532571856
x91 = -39.8516845872039
x92 = 26.2381164216481
x93 = 12.2754824056935
x94 = -55.9087137055517
x95 = 34.1502756973557
x96 = -3.78154671265438
x97 = -25.8890505712492
x98 = -85.9283768398542
x99 = -44.0404747919902
x100 = -11.9264165552946
x101 = 66.2643339340514
x101 = 66.2643339340514