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tan(x)=1,5/1,4 la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
           3  
tan(x) = -----
         2*7/5
$$\tan{\left(x \right)} = \frac{3}{\frac{7}{5} \cdot 2}$$
Solución detallada
Tenemos la ecuación
$$\tan{\left(x \right)} = \frac{3}{\frac{7}{5} \cdot 2}$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$x = \pi n + \operatorname{atan}{\left(\frac{15}{14} \right)}$$
O
$$x = \pi n + \operatorname{atan}{\left(\frac{15}{14} \right)}$$
, donde n es cualquier número entero
Gráfica
Respuesta rápida [src]
         /15\
x1 = atan|--|
         \14/
$$x_{1} = \operatorname{atan}{\left(\frac{15}{14} \right)}$$
x1 = atan(15/14)
Suma y producto de raíces [src]
suma
    /15\
atan|--|
    \14/
$$\operatorname{atan}{\left(\frac{15}{14} \right)}$$
=
    /15\
atan|--|
    \14/
$$\operatorname{atan}{\left(\frac{15}{14} \right)}$$
producto
    /15\
atan|--|
    \14/
$$\operatorname{atan}{\left(\frac{15}{14} \right)}$$
=
    /15\
atan|--|
    \14/
$$\operatorname{atan}{\left(\frac{15}{14} \right)}$$
atan(15/14)
Respuesta numérica [src]
x1 = 76.218090950552
x2 = -68.2951711145785
x3 = -43.1624298858601
x4 = -96.5695049968866
x5 = 38.5189791074745
x6 = -84.0031343825275
x7 = -62.0119858073989
x8 = 57.3685350290132
x9 = 82.5012762577316
x10 = -27.4544666179112
x11 = 101.35083217927
x12 = -71.4367637681683
x13 = 95.0676468720907
x14 = 19.6694231859357
x15 = -49.4456151930397
x16 = 91.926054218501
x17 = -80.8615417289377
x18 = 44.8021644146541
x19 = -8.60491069637242
x20 = 35.3773864538847
x21 = -77.7199490753479
x22 = -87.1447270361173
x23 = -5.46331804278263
x24 = 79.3596836041418
x25 = 7.10305257157654
x26 = -21.1712813107316
x27 = -36.8792445786806
x28 = 60.510127682603
x29 = 85.6428689113214
x30 = 69.9349056433724
x31 = 0.819867264396956
x32 = 66.7933129897826
x33 = -55.7288005002193
x34 = -90.286319689707
x35 = 10.2446452251663
x36 = -52.5872078466295
x37 = 16.5278305323459
x38 = -24.3128739643214
x39 = 47.9437570682439
x40 = 22.8110158395255
x41 = -93.4279123432968
x42 = 3.96145991798675
x43 = -30.596059271501
x44 = -40.0208372322704
x45 = -99.7110976504764
x46 = 98.2092395256805
x47 = -65.1535784609887
x48 = 88.7844615649112
x49 = -46.3040225394499
x50 = 32.2357938002949
x51 = -2.32172538919284
x52 = 54.2269423754234
x53 = 25.9526084931153
x54 = -74.5783564217581
x55 = 13.3862378787561
x56 = 73.0764982969622
x57 = -18.0296886571418
x58 = -58.8703931538091
x59 = 29.0942011467051
x60 = -11.7465033499622
x61 = 51.0853497218337
x62 = 63.6517203361928
x63 = -14.888096003552
x64 = 41.6605717610643
x65 = -33.7376519250908
x65 = -33.7376519250908