Sr Examen

Lang:

sin(2*x)-cos(x)=0 la ecuación

El profesor se sorprenderá mucho al ver tu solución correcta😉

Ha introducido [src]

sin(2*x) - cos(x) = 0

\sin{\left(2 x \right)} - \cos{\left(x \right)} = 0

Simplificar

Gráfica

Trazar el gráfico f1(x)

Trazar el gráfico f2(x)

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 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

Respuesta numérica [src]

x1 = 4.71238898038469

x2 = -3.66519142918809

x3 = 38.2227106186758

x4 = 88.4881930761125

x5 = -80.1106126665397

x6 = -9.94837673636768

x7 = -56.025068989018

x8 = -16.2315620435473

x9 = -2937.91272988205

x10 = -23.5619449019235

x11 = -73.8274273593601

x12 = -36.1283155162826

x13 = -97.9129710368819

x14 = 86.3937979737193

x15 = -53.9306738866248

x16 = 102.101761241668

x17 = -100.007366139275

x18 = -39.2699081698724

x19 = 48.6946861306418

x20 = -64.4026493985908

x21 = -20.4203522483337

x22 = -81.1578102177363

x23 = 42.4115008234622

x24 = -67.5442420521806

x25 = 14.1371669411541

x26 = -7.85398163397448

x27 = 80.1106126665397

x28 = -91.6297857297023

x29 = 34.0339204138894

x30 = -29.845130209103

x31 = -12.0427718387609

x32 = -83.2522053201295

x33 = 82.2050077689329

x34 = -47.6474885794452

x35 = 57.0722665402146

x36 = -37.1755130674792

x37 = 23.5619449019235

x38 = 75.9218224617533

x39 = 51.8362787842316

x40 = -49.7418836818384

x41 = 95.8185759344887

x42 = -95.8185759344887

x43 = -17.2787595947439

x44 = 44.5058959258554

x45 = 27.7507351067098

x46 = -93.7241808320955

x47 = -72.7802298081635

x48 = -4.71238898038469

x49 = -66.497044500984

x50 = 94.7713783832921

x51 = 58.1194640914112

x52 = 29.845130209103

x53 = -43.4586983746588

x54 = 21.4675497995303

x55 = 6.80678408277789

x56 = 92.6769832808989

x57 = 50.789081233035

x58 = -87.4409955249159

x59 = -58.1194640914112

x60 = 36.1283155162826

x61 = -45.553093477052

x62 = 67.5442420521806

x63 = 78.0162175641465

x64 = 0.523598775598299

x65 = -42.4115008234622

x66 = -14.1371669411541

x67 = 31.9395253114962

x68 = -5.75958653158129

x69 = 65.4498469497874

x70 = 20.4203522483337

x71 = 84.2994028713261

x72 = -22.5147473507269

x73 = -60.2138591938044

x74 = -51.8362787842316

x75 = 64.4026493985908

x76 = 40.317105721069

x77 = 73.8274273593601

x78 = -1.5707963267949

x79 = 71.733032256967

x80 = 7.85398163397448

x81 = -89.5353906273091

x81 = -89.5353906273091

Gráfico