Sr Examen

Otras calculadoras

tgx*ctgx-1=cosx-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]
tan(x)*cot(x) - 1 = cos(x) - 1/2
$$\tan{\left(x \right)} \cot{\left(x \right)} - 1 = \cos{\left(x \right)} - \frac{1}{2}$$
Gráfica
Suma y producto de raíces [src]
suma
  pi   pi
- -- + --
  3    3 
$$- \frac{\pi}{3} + \frac{\pi}{3}$$
=
0
$$0$$
producto
-pi  pi
----*--
 3   3 
$$- \frac{\pi}{3} \frac{\pi}{3}$$
=
   2 
-pi  
-----
  9  
$$- \frac{\pi^{2}}{9}$$
-pi^2/9
Respuesta rápida [src]
     -pi 
x1 = ----
      3  
$$x_{1} = - \frac{\pi}{3}$$
     pi
x2 = --
     3 
$$x_{2} = \frac{\pi}{3}$$
x2 = pi/3
Respuesta numérica [src]
x1 = -61.7846555205993
x2 = 17.8023583703422
x3 = 99.4837673636768
x4 = -225.147473507269
x5 = 80.634211442138
x6 = 63.8790506229925
x7 = -86.9173967493176
x8 = 95.2949771588904
x9 = -45.0294947014537
x10 = 70.162235930172
x11 = -26.1799387799149
x12 = -99.4837673636768
x13 = -38.7463093942741
x14 = 13.6135681655558
x15 = 24.0855436775217
x16 = 82.7286065445312
x17 = -17.8023583703422
x18 = 93.2005820564972
x19 = -80.634211442138
x20 = -42.9350995990605
x21 = 68.0678408277789
x22 = -49.2182849062401
x23 = -13.6135681655558
x24 = 32.4631240870945
x25 = -57.5958653158129
x26 = 74.3510261349584
x27 = 86.9173967493176
x28 = -359.188760060433
x29 = -55.5014702134197
x30 = -68.0678408277789
x31 = 51.3126800086333
x32 = 36.6519142918809
x33 = 7.33038285837618
x34 = 19.8967534727354
x35 = 76.4454212373516
x36 = 38.7463093942741
x37 = -32.4631240870945
x38 = 55.5014702134197
x39 = -51.3126800086333
x40 = -5.23598775598299
x41 = 30.3687289847013
x42 = -19.8967534727354
x43 = 57.5958653158129
x44 = 61.7846555205993
x45 = 5.23598775598299
x46 = -5094.61608657145
x47 = -11.5191730631626
x48 = -1.0471975511966
x49 = -7.33038285837618
x50 = -30.3687289847013
x51 = -70.162235930172
x52 = -93.2005820564972
x53 = -24.0855436775217
x54 = -95.2949771588904
x55 = 11.5191730631626
x56 = -89.0117918517108
x57 = -63.8790506229925
x58 = 49.2182849062401
x59 = 42.9350995990605
x60 = -76.4454212373516
x61 = 45.0294947014537
x62 = 1.0471975511966
x63 = 26.1799387799149
x64 = 89.0117918517108
x65 = -36.6519142918809
x66 = -82.7286065445312
x67 = -74.3510261349584
x67 = -74.3510261349584