Sr Examen

Otras calculadoras


ctg(x)=1/2

ctg(x)=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]
cot(x) = 1/2
$$\cot{\left(x \right)} = \frac{1}{2}$$
Solución detallada
Tenemos la ecuación
$$\cot{\left(x \right)} = \frac{1}{2}$$
cambiamos
$$\cot{\left(x \right)} - \frac{1}{2} = 0$$
$$\cot{\left(x \right)} - \frac{1}{2} = 0$$
Sustituimos
$$w = \cot{\left(x \right)}$$
Transportamos los términos libres (sin w)
del miembro izquierdo al derecho, obtenemos:
$$w = \frac{1}{2}$$
Obtenemos la respuesta: w = 1/2
hacemos cambio inverso
$$\cot{\left(x \right)} = w$$
sustituimos w:
Gráfica
Suma y producto de raíces [src]
suma
acot(1/2)
$$\operatorname{acot}{\left(\frac{1}{2} \right)}$$
=
acot(1/2)
$$\operatorname{acot}{\left(\frac{1}{2} \right)}$$
producto
acot(1/2)
$$\operatorname{acot}{\left(\frac{1}{2} \right)}$$
=
acot(1/2)
$$\operatorname{acot}{\left(\frac{1}{2} \right)}$$
acot(1/2)
Respuesta rápida [src]
x1 = acot(1/2)
$$x_{1} = \operatorname{acot}{\left(\frac{1}{2} \right)}$$
x1 = acot(1/2)
Respuesta numérica [src]
x1 = 92.2133356718981
x2 = 48.231038521641
x3 = 16.8151119857431
x4 = 1.10714871779409
x5 = -58.583111700412
x6 = 7.39033402497368
x7 = -39.7335557788732
x8 = -55.4415190468222
x9 = 23.0982972929226
x10 = 51.3726311752308
x11 = 98.4965209790777
x12 = 89.0717430183083
x13 = 95.3549283254879
x14 = -24.0255925109243
x15 = 10.5319266785635
x16 = -83.7158529291303
x17 = 35.6646679072818
x18 = -61.7247043540018
x19 = -11.4592218965651
x20 = -46.0167410860528
x21 = 73.3637797503593
x22 = -5.1760365893855
x23 = -2.0344439357957
x24 = 82.7885577111287
x25 = -27.167185164514
x26 = 29.3814826001022
x27 = 79.6469650575389
x28 = 76.5053724039491
x29 = 85.9301503647185
x30 = -49.1583337396426
x31 = -36.5919631252834
x32 = -80.5742602755405
x33 = 41.9478532144614
x34 = -30.3087778181038
x35 = -99.4238161970793
x36 = -89.9990382363099
x37 = -33.4503704716936
x38 = -68.0078896611814
x39 = 67.0805944431797
x40 = -14.6008145501549
x41 = -93.1406308898997
x42 = 45.0894458680512
x43 = -71.1494823147711
x44 = 26.2398899465124
x45 = -96.2822235434895
x46 = -17.7424072037447
x47 = -64.8662970075916
x48 = 38.8062605608716
x49 = -74.2910749683609
x50 = 63.93900178959
x51 = 13.6735193321533
x52 = 32.523075253692
x53 = -86.8574455827201
x54 = 19.9567046393328
x55 = -8.31762924297529
x56 = -52.2999263932324
x57 = 57.6558164824104
x58 = 54.5142238288206
x59 = -20.8839998573345
x60 = 4.24874137138388
x61 = -42.875148432463
x62 = 70.2221870967695
x63 = -77.4326676219507
x64 = 60.7974091360002
x64 = 60.7974091360002
Gráfico
ctg(x)=1/2 la ecuación