Sr Examen

Otras calculadoras

cot(4*x-pi/3)=1/2 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]
   /      pi\      
cot|4*x - --| = 1/2
   \      3 /      
$$\cot{\left(4 x - \frac{\pi}{3} \right)} = \frac{1}{2}$$
Gráfica
Respuesta rápida [src]
       atan(1/2)   pi
x1 = - --------- - --
           4       24
$$x_{1} = - \frac{\pi}{24} - \frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{4}$$
x1 = -pi/24 - atan(1/2)/4
Suma y producto de raíces [src]
suma
  atan(1/2)   pi
- --------- - --
      4       24
$$- \frac{\pi}{24} - \frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{4}$$
=
  atan(1/2)   pi
- --------- - --
      4       24
$$- \frac{\pi}{24} - \frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{4}$$
producto
  atan(1/2)   pi
- --------- - --
      4       24
$$- \frac{\pi}{24} - \frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{4}$$
=
  atan(1/2)   pi
- --------- - --
      4       24
$$- \frac{\pi}{24} - \frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{4}$$
-atan(1/2)/4 - pi/24
Respuesta numérica [src]
x1 = 53.9456616782742
x2 = -15.9547748640987
x3 = 12.3195590182094
x4 = 43.7354855541073
x5 = 52.3748653514793
x6 = -27.7357473150605
x7 = 42.1646892273124
x8 = -63.8640628313431
x9 = 3.68017922083747
x10 = 100.284153318724
x11 = 17.8173461619915
x12 = -44.2291087464069
x13 = 46.0916800442997
x14 = 39.8084947371201
x15 = -92.1383967136512
x16 = 50.0186708612869
x17 = 97.9279588285313
x18 = 20.1735406521839
x19 = -31.6627381320477
x20 = 92.4301716847491
x21 = -23.8087564980732
x22 = -12.0277840471115
x23 = 75.9368102534027
x24 = -56.0100811973686
x25 = -22.2379601712783
x26 = -8.10079323012426
x27 = -85.8552114064716
x28 = 13.8903553450043
x29 = 30.3837167763507
x30 = 86.1469863775695
x31 = 60.2288469854537
x32 = -62.2932665045482
x33 = 35.8815039201328
x34 = -59.9370720143558
x35 = 79.86380107039
x36 = 78.293004743595
x37 = -89.7822022234589
x38 = 96.3571625017364
x39 = 21.7443369789788
x40 = -19.881765681086
x41 = -49.726895890189
x42 = 24.1005314691711
x43 = -99.9923783476257
x44 = -41.8729142562145
x45 = 31.9545131031456
x46 = 8.39256820122215
x47 = -35.5897289490349
x48 = -88.211405896664
x49 = 9.96336452801705
x50 = 65.7266341292359
x51 = 6.03637371102981
x52 = -79.5720260992921
x53 = -5.74459873993191
x54 = 90.0739771945568
x55 = 83.7907918873772
x56 = 25.671327795966
x57 = 94.000968011544
x58 = 70.4390231096206
x59 = -0.246811596149776
x60 = 38.2376984103252
x61 = 72.0098194364155
x62 = -48.1560995633941
x63 = -4.17380241313702
x64 = -93.7091930404461
x65 = -53.6538867071763
x66 = 64.155837802441
x67 = 61.7996433122486
x68 = 16.2465498351966
x69 = -9.67158955691916
x70 = -97.6361838574334
x71 = -74.0742389555099
x72 = 28.0275222861584
x73 = -18.3109693542911
x74 = -70.1472481385227
x75 = -1.81760792294467
x76 = -30.0919418052528
x77 = 87.7177827043644
x78 = 34.310707593338
x79 = -52.0830903803814
x80 = -57.5808775241635
x81 = -13.5985803739064
x82 = -81.9282205894844
x83 = 56.3018561684665
x84 = -40.3021179294196
x85 = -67.7910536483303
x86 = 74.3660139266078
x87 = -37.9459234392273
x88 = -78.0012297724972
x89 = 82.2199955605823
x90 = -96.0653875306385
x91 = -84.2844150796767
x92 = -34.0189326222401
x93 = -26.1649509882656
x94 = -66.2202573215354
x95 = -45.7999050732018
x96 = 2.10938289404257
x97 = 47.6624763710946
x98 = 68.0828286194282
x99 = -71.7180444653176
x100 = 57.8726524952614
x101 = -75.6450352823048
x101 = -75.6450352823048