Sr Examen

Otras calculadoras

cos^2x-½sin2x+cosx=sinx 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]
   2      sin(2*x)                  
cos (x) - -------- + cos(x) = sin(x)
             2                      
$$\left(- \frac{\sin{\left(2 x \right)}}{2} + \cos^{2}{\left(x \right)}\right) + \cos{\left(x \right)} = \sin{\left(x \right)}$$
Gráfica
Suma y producto de raíces [src]
suma
  3*pi   pi     
- ---- + -- + pi
   4     4      
$$\left(- \frac{3 \pi}{4} + \frac{\pi}{4}\right) + \pi$$
=
pi
--
2 
$$\frac{\pi}{2}$$
producto
-3*pi pi   
-----*--*pi
  4   4    
$$\pi - \frac{3 \pi}{4} \frac{\pi}{4}$$
=
     3
-3*pi 
------
  16  
$$- \frac{3 \pi^{3}}{16}$$
-3*pi^3/16
Respuesta rápida [src]
     -3*pi
x1 = -----
       4  
$$x_{1} = - \frac{3 \pi}{4}$$
     pi
x2 = --
     4 
$$x_{2} = \frac{\pi}{4}$$
x3 = pi
$$x_{3} = \pi$$
x3 = pi
Respuesta numérica [src]
x1 = 25.9181393921158
x2 = -36.9137136796801
x3 = -97.3893725040714
x4 = 84.8230012829572
x5 = -28.2743338881008
x6 = -99.7455667514759
x7 = 22.776546738526
x8 = -96.6039740978861
x9 = -90.3207887907066
x10 = 78.5398161426744
x11 = -65.1880475619882
x12 = -72.2566310029073
x13 = 82.4668071567321
x14 = 38.484510006475
x15 = -153.938039885188
x16 = 7.06858347057703
x17 = -77.7544181763474
x18 = -5.49778714378214
x19 = 73.0420291959627
x20 = 76.1836218495525
x21 = -40.8407049240318
x22 = 54.1924732744239
x23 = 53.4070750781273
x24 = -62.0464549083984
x25 = -84.823002068215
x26 = 91.8915851175014
x27 = 51.0508806208341
x28 = 63.6172512351933
x29 = 85.6083998103219
x30 = -21.9911485868161
x31 = -33.7721210260903
x32 = -9.42477818089272
x33 = 15.7079626643105
x34 = -8.63937979737193
x35 = 10.2101761241668
x36 = -87.1791961371168
x37 = 59.6902601377467
x38 = 59.6902598530655
x39 = 0.785398163397448
x40 = 47.123889368779
x41 = 65.9734457507396
x42 = -40.0553063332699
x43 = 88.7499924639117
x44 = -3.14159255399937
x45 = -47.1238901918918
x46 = 98.174770424681
x47 = -392.69908123282
x48 = -15.7079632981432
x49 = 35.3429173528852
x50 = -14.9225651045515
x51 = 28.27433386462
x52 = -28.2743344156603
x53 = -24.3473430653209
x54 = 29.0597320457056
x55 = 3.92699081698724
x56 = -80.8960108299372
x57 = -46.3384916404494
x58 = 97.389372162001
x59 = 40.8407041243074
x60 = -21.9911495841579
x61 = -93.4623814442964
x62 = 91.1061865171019
x63 = -65.9734457695608
x64 = -2.35619449019234
x65 = 41.6261026600648
x66 = -55.7632696012188
x67 = -91.1061873493905
x68 = -84.037603483527
x69 = 34.5575189808486
x70 = 44.7676953136546
x71 = 95.0331777710912
x72 = 107.59954838545
x73 = -11.7809724509617
x74 = 15.7079631858216
x75 = -52.621676947629
x76 = -3.14159303398379
x77 = 9.42477769450912
x78 = 72.2566310276722
x79 = 79.3252145031423
x80 = 32.2013246992954
x81 = -49.4800842940392
x82 = 21.991148584909
x83 = -34.5575190713736
x84 = -53.407075342537
x85 = -43.1968989868597
x86 = -59.6902604607094
x87 = 9.42477800188733
x88 = -58.9048622548086
x89 = 47.9092879672443
x90 = 69.9004365423729
x91 = -68.329640215578
x92 = 3.14159222168782
x93 = 66.7588438887831
x94 = -78.5398161557762
x95 = 19.6349540849362
x96 = -21.2057504117311
x97 = -18.0641577581413
x98 = -72.2566313939662
x98 = -72.2566313939662