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ctgx=19/15 la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
         19
cot(x) = --
         15
$$\cot{\left(x \right)} = \frac{19}{15}$$
Solución detallada
Tenemos la ecuación
$$\cot{\left(x \right)} = \frac{19}{15}$$
cambiamos
$$\cot{\left(x \right)} - \frac{19}{15} = 0$$
$$\cot{\left(x \right)} - \frac{19}{15} = 0$$
Sustituimos
$$w = \cot{\left(x \right)}$$
Transportamos los términos libres (sin w)
del miembro izquierdo al derecho, obtenemos:
$$w = \frac{19}{15}$$
Obtenemos la respuesta: w = 19/15
hacemos cambio inverso
$$\cot{\left(x \right)} = w$$
sustituimos w:
Gráfica
Respuesta rápida [src]
         /19\
x1 = acot|--|
         \15/
$$x_{1} = \operatorname{acot}{\left(\frac{19}{15} \right)}$$
x1 = acot(19/15)
Suma y producto de raíces [src]
suma
    /19\
acot|--|
    \15/
$$\operatorname{acot}{\left(\frac{19}{15} \right)}$$
=
    /19\
acot|--|
    \15/
$$\operatorname{acot}{\left(\frac{19}{15} \right)}$$
producto
    /19\
acot|--|
    \15/
$$\operatorname{acot}{\left(\frac{19}{15} \right)}$$
=
    /19\
acot|--|
    \15/
$$\operatorname{acot}{\left(\frac{19}{15} \right)}$$
acot(19/15)
Respuesta numérica [src]
x1 = -90.4378975352734
x2 = 6.95147472601017
x3 = 28.9426233011387
x4 = -15.0396738491184
x5 = -96.721082842453
x6 = -40.1724150778367
x7 = 13.2346600331898
x8 = 10.0930673796
x9 = 72.9249204513958
x10 = 19.5178453403693
x11 = -21.322859156298
x12 = 54.0753645298571
x13 = -11.8980811955286
x14 = 88.6328837193448
x15 = 35.2258086083183
x16 = 16.3762526867796
x17 = -99.8626754960428
x18 = -87.2963048816836
x19 = -93.5794901888632
x20 = -71.5883416137347
x21 = -62.1635636529653
x22 = -84.1547122280938
x23 = 98.0576616801142
x24 = 91.7744763729346
x25 = 66.6417351442162
x26 = -33.8892297706571
x27 = -37.0308224242469
x28 = -5.614895888349
x29 = 85.491291065755
x30 = 3.80988207242038
x31 = 41.5089939154979
x32 = -74.7299342673245
x33 = -52.7387856921959
x34 = -59.0219709993755
x35 = 63.5001424906265
x36 = 79.2081057585754
x37 = 47.7921792226775
x38 = -24.4644518098878
x39 = 25.8010306475489
x40 = 0.668289418830584
x41 = -46.4556003850163
x42 = -43.3140077314265
x43 = -55.8803783457857
x44 = 32.0842159547285
x45 = 22.6594379939591
x46 = -68.4467489601449
x47 = 94.9160690265244
x48 = 60.3585498370367
x49 = -18.1812665027082
x50 = -49.5971930386061
x51 = 44.6505865690877
x52 = 50.9337718762673
x53 = -8.7564885419388
x54 = -81.013119574504
x55 = -77.8715269209142
x56 = 82.3496984121652
x57 = 38.3674012619081
x58 = 57.2169571834469
x59 = -27.6060444634776
x60 = 76.0665131049856
x61 = -30.7476371170673
x62 = -2.47330323475921
x63 = 69.783327797806
x64 = -65.3051563065551
x64 = -65.3051563065551