Sr Examen

Otras calculadoras

cos(x)-sin(2x)=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]
cos(x) - sin(2*x) = 0
$$- \sin{\left(2 x \right)} + \cos{\left(x \right)} = 0$$
Gráfica
Respuesta rápida [src]
     -pi 
x1 = ----
      2  
$$x_{1} = - \frac{\pi}{2}$$
     pi
x2 = --
     6 
$$x_{2} = \frac{\pi}{6}$$
     pi
x3 = --
     2 
$$x_{3} = \frac{\pi}{2}$$
     5*pi
x4 = ----
      6  
$$x_{4} = \frac{5 \pi}{6}$$
x4 = 5*pi/6
Suma y producto de raíces [src]
suma
  pi   pi   pi   5*pi
- -- + -- + -- + ----
  2    6    2     6  
$$\left(\left(- \frac{\pi}{2} + \frac{\pi}{6}\right) + \frac{\pi}{2}\right) + \frac{5 \pi}{6}$$
=
pi
$$\pi$$
producto
-pi  pi pi 5*pi
----*--*--*----
 2   6  2   6  
$$\frac{5 \pi}{6} \frac{\pi}{2} \cdot - \frac{\pi}{2} \frac{\pi}{6}$$
=
     4
-5*pi 
------
 144  
$$- \frac{5 \pi^{4}}{144}$$
-5*pi^4/144
Respuesta numérica [src]
x1 = 29.845130209103
x2 = 14.1371669411541
x3 = 57.0722665402146
x4 = 48.6946861306418
x5 = -80.1106126665397
x6 = -7.85398163397448
x7 = -4.71238898038469
x8 = -43.4586983746588
x9 = 94.7713783832921
x10 = 67.5442420521806
x11 = -58.1194640914112
x12 = 95.8185759344887
x13 = 80.1106126665397
x14 = -3.66519142918809
x15 = -14.1371669411541
x16 = 7.85398163397448
x17 = -29.845130209103
x18 = -20.4203522483337
x19 = 42.4115008234622
x20 = -47.6474885794452
x21 = -17.2787595947439
x22 = -72.7802298081635
x23 = -67.5442420521806
x24 = -45.553093477052
x25 = -60.2138591938044
x26 = 38.2227106186758
x27 = -2937.91272988205
x28 = 50.789081233035
x29 = -23.5619449019235
x30 = 27.7507351067098
x31 = 65.4498469497874
x32 = -16.2315620435473
x33 = 58.1194640914112
x34 = -56.025068989018
x35 = 6.80678408277789
x36 = -97.9129710368819
x37 = 88.4881930761125
x38 = 102.101761241668
x39 = 31.9395253114962
x40 = 82.2050077689329
x41 = -36.1283155162826
x42 = -100.007366139275
x43 = -51.8362787842316
x44 = -73.8274273593601
x45 = 4.71238898038469
x46 = 64.4026493985908
x47 = -49.7418836818384
x48 = 21.4675497995303
x49 = -42.4115008234622
x50 = -95.8185759344887
x51 = -66.497044500984
x52 = 84.2994028713261
x53 = -37.1755130674792
x54 = 20.4203522483337
x55 = 23.5619449019235
x56 = -53.9306738866248
x57 = -1.5707963267949
x58 = 92.6769832808989
x59 = -87.4409955249159
x60 = -9.94837673636768
x61 = -12.0427718387609
x62 = -83.2522053201295
x63 = 86.3937979737193
x64 = 40.317105721069
x65 = -91.6297857297023
x66 = 34.0339204138894
x67 = 71.733032256967
x68 = -93.7241808320955
x69 = -64.4026493985908
x70 = 78.0162175641465
x71 = 36.1283155162826
x72 = -22.5147473507269
x73 = 51.8362787842316
x74 = 44.5058959258554
x75 = 73.8274273593601
x76 = -39.2699081698724
x77 = -5.75958653158129
x78 = -81.1578102177363
x79 = -89.5353906273091
x80 = 75.9218224617533
x81 = 0.523598775598299
x81 = 0.523598775598299