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tan(x)=-3/5 la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
tan(x) = -3/5
tan(x)=35\tan{\left(x \right)} = - \frac{3}{5}
Solución detallada
Tenemos la ecuación
tan(x)=35\tan{\left(x \right)} = - \frac{3}{5}
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
x=πn+atan(35)x = \pi n + \operatorname{atan}{\left(- \frac{3}{5} \right)}
O
x=πnatan(35)x = \pi n - \operatorname{atan}{\left(\frac{3}{5} \right)}
, donde n es cualquier número entero
Gráfica
0-80-60-40-2020406080-100100-50005000
Respuesta rápida [src]
x1 = -atan(3/5)
x1=atan(35)x_{1} = - \operatorname{atan}{\left(\frac{3}{5} \right)}
x1 = -atan(3/5)
Suma y producto de raíces [src]
suma
-atan(3/5)
atan(35)- \operatorname{atan}{\left(\frac{3}{5} \right)}
=
-atan(3/5)
atan(35)- \operatorname{atan}{\left(\frac{3}{5} \right)}
producto
-atan(3/5)
atan(35)- \operatorname{atan}{\left(\frac{3}{5} \right)}
=
-atan(3/5)
atan(35)- \operatorname{atan}{\left(\frac{3}{5} \right)}
-atan(3/5)
Respuesta numérica [src]
x1 = 18.3091364212682
x2 = -53.9474946112971
x3 = 71.7162115322947
x4 = 68.5746188787049
x5 = -13.1067901146298
x6 = -9.96519746103996
x7 = -3.68201215386038
x8 = -6.82360480745017
x9 = 74.8578041858844
x10 = 90.5657674538334
x11 = 30.8755070356273
x12 = 93.7073601074232
x13 = -19.3899754218093
x14 = -0.540419500270584
x15 = 40.3002849963967
x16 = -47.6643093041175
x17 = -38.2395313433481
x18 = 46.5834703035763
x19 = 65.4330262251151
x20 = -85.363421147195
x21 = -57.0890872648869
x22 = -25.6731607289889
x23 = -31.9563460361685
x24 = 87.4241748002436
x25 = 52.8666556107559
x26 = 43.4418776499865
x27 = 27.7339143820376
x28 = 34.0170996892171
x29 = 49.7250629571661
x30 = 24.5923217284478
x31 = -41.3811239969379
x32 = -79.0802358400154
x33 = 12.0259511140886
x34 = 8.8843584604988
x35 = -94.7881991079644
x36 = 62.2914335715253
x37 = 5.742765806909
x38 = -101.071384415144
x39 = -82.2218284936052
x40 = -22.5315680753991
x41 = 77.9993968394742
x42 = -66.5138652256562
x43 = -28.8147533825787
x44 = 84.2825821466538
x45 = 81.140989493064
x46 = 96.848952761013
x47 = 21.450729074858
x48 = 56.0082482643457
x49 = 99.9905454146028
x50 = -75.9386431864256
x51 = -63.3722725720664
x52 = -88.5050138007848
x53 = -60.2306799184767
x54 = 15.1675437676784
x55 = -44.5227166505277
x56 = -69.655457879246
x57 = -50.8059019577073
x58 = -35.0979386897583
x59 = -91.6466064543746
x60 = -16.2483827682195
x61 = -97.9297917615542
x62 = 59.1498409179355
x63 = 37.1586923428069
x64 = -72.7970505328358
x65 = 2.60117315331921
x65 = 2.60117315331921