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ctgx=0,25 la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
cot(x) = 1/4
$$\cot{\left(x \right)} = \frac{1}{4}$$
Solución detallada
Tenemos la ecuación
$$\cot{\left(x \right)} = \frac{1}{4}$$
cambiamos
$$\cot{\left(x \right)} - \frac{1}{4} = 0$$
$$\cot{\left(x \right)} - \frac{1}{4} = 0$$
Sustituimos
$$w = \cot{\left(x \right)}$$
Transportamos los términos libres (sin w)
del miembro izquierdo al derecho, obtenemos:
$$w = \frac{1}{4}$$
Obtenemos la respuesta: w = 1/4
hacemos cambio inverso
$$\cot{\left(x \right)} = w$$
sustituimos w:
Gráfica
Suma y producto de raíces [src]
suma
acot(1/4)
$$\operatorname{acot}{\left(\frac{1}{4} \right)}$$
=
acot(1/4)
$$\operatorname{acot}{\left(\frac{1}{4} \right)}$$
producto
acot(1/4)
$$\operatorname{acot}{\left(\frac{1}{4} \right)}$$
=
acot(1/4)
$$\operatorname{acot}{\left(\frac{1}{4} \right)}$$
acot(1/4)
Respuesta rápida [src]
x1 = acot(1/4)
$$x_{1} = \operatorname{acot}{\left(\frac{1}{4} \right)}$$
x1 = acot(1/4)
Respuesta numérica [src]
x1 = 7.60900297084762
x2 = -67.7892207153074
x3 = -20.6653309114605
x4 = -96.0635545976156
x5 = 1.32581766366803
x6 = 67.2992633890537
x7 = -14.3821456042809
x8 = -33.2317015258197
x9 = 54.7328927746945
x10 = 13.8921882780272
x11 = 61.0160780818741
x12 = 51.5913001211047
x13 = -58.364442754538
x14 = 20.1753735852068
x15 = -42.6564794865891
x16 = -64.6476280617176
x17 = 83.0072266570027
x18 = -83.4971839832564
x19 = -8.09896029710135
x20 = -36.3732941794095
x21 = -1.81577498992176
x22 = 70.4408560426435
x23 = 39.0249295067456
x24 = -17.5237382578707
x25 = -39.5148868329993
x26 = 79.8656340034129
x27 = -99.2051472512053
x28 = -55.2228501009482
x29 = -70.9308133688972
x30 = -30.0901088722299
x31 = 17.033780931617
x32 = -92.9219619440258
x33 = 23.3169662387966
x34 = -23.8069235650503
x35 = -77.2139986760768
x36 = -61.5060354081278
x37 = 35.8833368531558
x38 = 98.7151899249516
x39 = 86.1488193105924
x40 = -26.9485162186401
x41 = 45.3081148139251
x42 = -48.9396647937687
x43 = 95.5735972713618
x44 = 64.1576707354639
x45 = 32.741744199566
x46 = 10.7505956244374
x47 = 89.2904119641822
x48 = -89.780369290436
x49 = -11.2405529506911
x50 = -86.6387766368462
x51 = 57.8744854282843
x52 = -4.95736764351155
x53 = 29.6001515459762
x54 = -45.7980721401789
x55 = 92.432004617772
x56 = -52.0812574473585
x57 = -74.072406022487
x58 = 73.5824486962333
x59 = -80.3555913296666
x60 = 26.4585588923864
x61 = 76.7240413498231
x62 = 4.46741031725783
x63 = 42.1665221603353
x64 = 48.4497074675149
x64 = 48.4497074675149