Sr Examen

Otras calculadoras

cos(x)cos(3x)=sin(3x)sin(x) 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] 
cos(x)*cos(3*x) = sin(3*x)*sin(x)
$$\cos{\left(x \right)} \cos{\left(3 x \right)} = \sin{\left(x \right)} \sin{\left(3 x \right)}$$
Simplificar
Gráfica
Trazar el gráfico f1(x)
Trazar el gráfico f2(x)
Suma y producto de raíces [src] 
suma
  7*pi   5*pi   3*pi   pi   pi   3*pi   5*pi   7*pi
- ---- - ---- - ---- - -- + -- + ---- + ---- + ----
   8      8      8     8    8     8      8      8
$$\left(\left(\left(\left(\left(\left(- \frac{7 \pi}{8} - \frac{5 \pi}{8}\right) - \frac{3 \pi}{8}\right) - \frac{\pi}{8}\right) + \frac{\pi}{8}\right) + \frac{3 \pi}{8}\right) + \frac{5 \pi}{8}\right) + \frac{7 \pi}{8}$$ 
=
0
$$0$$ 
producto
-7*pi -5*pi -3*pi -pi  pi 3*pi 5*pi 7*pi
-----*-----*-----*----*--*----*----*----
  8     8     8    8   8   8    8    8
$$\frac{7 \pi}{8} \frac{5 \pi}{8} \frac{3 \pi}{8} \frac{\pi}{8} \cdot - \frac{\pi}{8} \cdot - \frac{3 \pi}{8} \cdot - \frac{7 \pi}{8} \left(- \frac{5 \pi}{8}\right)$$ 
=
        8
11025*pi 
---------
 16777216
$$\frac{11025 \pi^{8}}{16777216}$$ 
11025*pi^8/16777216
Respuesta rápida [src] 
     -7*pi
x1 = -----
       8
$$x_{1} = - \frac{7 \pi}{8}$$ 
     -5*pi
x2 = -----
       8
$$x_{2} = - \frac{5 \pi}{8}$$ 
     -3*pi
x3 = -----
       8
$$x_{3} = - \frac{3 \pi}{8}$$ 
     -pi 
x4 = ----
      8
$$x_{4} = - \frac{\pi}{8}$$ 
     pi
x5 = --
     8
$$x_{5} = \frac{\pi}{8}$$ 
     3*pi
x6 = ----
      8
$$x_{6} = \frac{3 \pi}{8}$$ 
     5*pi
x7 = ----
      8
$$x_{7} = \frac{5 \pi}{8}$$ 
     7*pi
x8 = ----
      8
$$x_{8} = \frac{7 \pi}{8}$$ 
x8 = 7*pi/8
Respuesta numérica [src] 
x1 = 1.96349540849362
x2 = 45.9457925587507
x3 = 78.1471172580461
x4 = 104.850654813559
x5 = 82.0741080750334
x6 = -23.9546439836222
x7 = 20.0276531666349
x8 = -38.0918109247762
x9 = 44.3749962319558
x10 = 42.0188017417635
x11 = 40.4480054149686
x12 = 5.89048622548086
x13 = -87.5718952188155
x14 = -93.8550805259951
x15 = 23.9546439836222
x16 = -54.5851723561227
x17 = -96.9966731795849
x18 = -68.7223392972767
x19 = 16.1006623496477
x20 = -53.7997741927252
x21 = 4.31968989868597
x22 = 9.8174770424681
x23 = 84.4303025652257
x24 = 70.2931356240716
x25 = -71.8639319508665
x26 = 71.8639319508665
x27 = -75.7909227678538
x28 = -82.0741080750334
x29 = -75.0055246044563
x30 = 2644.04291707751
x31 = -20.8130513300324
x32 = 31.8086256175967
x33 = -45.9457925587507
x34 = -89.9280897090078
x35 = 96.2112750161874
x36 = -9.8174770424681
x37 = -97.7820713429823
x38 = -78.1471172580461
x39 = 89.9280897090078
x40 = 49.872783375738
x41 = -31.8086256175967
x42 = -43.5895980685584
x43 = 86.0010988920206
x44 = 66.3661448070844
x45 = -42.0188017417635
x46 = -2.74889357189107
x47 = -13.7444678594553
x48 = -16.1006623496477
x49 = -5.89048622548086
x50 = -100.138265833175
x51 = 96.9966731795849
x52 = 52.2289778659303
x53 = 60.0829594999048
x54 = -20.0276531666349
x55 = 100.138265833175
x56 = -27.8816348006094
x57 = 67.9369411338793
x58 = 74.2201264410589
x59 = -49.872783375738
x60 = 34.164820107789
x61 = 92.2842841992002
x62 = -57.7267650097125
x63 = 22.3838476568273
x64 = 56.1559686829176
x65 = -1.96349540849362
x66 = 64.009950316892
x67 = 26.3108384738145
x68 = 27.8816348006094
x69 = 30.2378292908018
x70 = -79.717913584841
x71 = 12.1736715326604
x72 = 88.3572933822129
x73 = -21.5984494934298
x74 = -56.1559686829176
x75 = -17.6714586764426
x76 = 53.7997741927252
x77 = -10.6028752058656
x78 = 38.0918109247762
x79 = -61.6537558266997
x80 = -64.009950316892
x81 = -12.1736715326604
x82 = 93.8550805259951
x83 = 0.392699081698724
x84 = 54.5851723561227
x85 = 48.3019870489431
x86 = 62.4391539900971
x87 = -34.164820107789
x88 = 8.24668071567321
x89 = -86.0010988920206
x90 = -39.6626072515711
x91 = -35.7356164345839
x92 = -65.5807466436869
x93 = -60.0829594999048
x94 = -83.6449044018282
x95 = -67.9369411338793
x95 = -67.9369411338793
    © Sr Examen – Калькулятор