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cosx=−0,9: la ecuación

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Solución numérica:

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Solución

Ha introducido [src] 
cos(x) = -9/10
cos⁡(x)=−910\cos{\left(x \right)} = - \frac{9}{10}
Simplificar
Solución detallada
Tenemos la ecuación
cos⁡(x)=−910\cos{\left(x \right)} = - \frac{9}{10}
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
x=πn+acos⁡(−910)x = \pi n + \operatorname{acos}{\left(- \frac{9}{10} \right)}
x=πn−π+acos⁡(−910)x = \pi n - \pi + \operatorname{acos}{\left(- \frac{9}{10} \right)}
O
x=πn+acos⁡(−910)x = \pi n + \operatorname{acos}{\left(- \frac{9}{10} \right)}
x=πn−π+acos⁡(−910)x = \pi n - \pi + \operatorname{acos}{\left(- \frac{9}{10} \right)}
, donde n es cualquier número entero
Gráfica
0-80-60-40-2020406080-1001002-2
Trazar el gráfico f1(x)
Trazar el gráfico f2(x)
Suma y producto de raíces [src] 
suma
-acos(-9/10) + 2*pi + acos(-9/10)
acos⁡(−910)+(−acos⁡(−910)+2π)\operatorname{acos}{\left(- \frac{9}{10} \right)} + \left(- \operatorname{acos}{\left(- \frac{9}{10} \right)} + 2 \pi\right) 
=
2*pi
2π2 \pi 
producto
(-acos(-9/10) + 2*pi)*acos(-9/10)
(−acos⁡(−910)+2π)acos⁡(−910)\left(- \operatorname{acos}{\left(- \frac{9}{10} \right)} + 2 \pi\right) \operatorname{acos}{\left(- \frac{9}{10} \right)} 
=
(-acos(-9/10) + 2*pi)*acos(-9/10)
(−acos⁡(−910)+2π)acos⁡(−910)\left(- \operatorname{acos}{\left(- \frac{9}{10} \right)} + 2 \pi\right) \operatorname{acos}{\left(- \frac{9}{10} \right)} 
(-acos(-9/10) + 2*pi)*acos(-9/10)
Respuesta rápida [src] 
x1 = -acos(-9/10) + 2*pi
x1=−acos⁡(−910)+2πx_{1} = - \operatorname{acos}{\left(- \frac{9}{10} \right)} + 2 \pi 
x2 = acos(-9/10)
x2=acos⁡(−910)x_{2} = \operatorname{acos}{\left(- \frac{9}{10} \right)} 
x2 = acos(-9/10)
Respuesta numérica [src] 
x1 = 34.1064923776915
x2 = -91.5572137659003
x3 = -53.8581019228227
x4 = -15.2569364561527
x5 = -96.9383454494873
x6 = -34.1064923776915
x7 = 59.2392336064098
x8 = -85.2740284587207
x9 = 21.5401217633323
x10 = 53.8581019228227
x11 = 60.1412872300023
x12 = 15.2569364561527
x13 = 71.805604220769
x14 = -84.3719748351282
x15 = -28.7253606941044
x16 = -8.97375114897312
x17 = -10710.1403828994
x18 = 8171.73351879885
x19 = 46.6728629920506
x20 = -72.7076578443615
x21 = -47.5749166156432
x22 = -66.4244725371819
x23 = 28.7253606941044
x24 = -9.87580477256564
x25 = -41.2917313084636
x26 = -22.4421753869248
x27 = 97.8403990730799
x28 = 96.9383454494873
x29 = 66.4244725371819
x30 = 8.97375114897312
x31 = 16.1589900797452
x32 = -35.008546001284
x33 = 47.5749166156432
x34 = -52.9560482992302
x35 = -78.0887895279486
x36 = -16.1589900797452
x37 = 2.69056584179353
x38 = -2.69056584179353
x39 = -59.2392336064098
x40 = -97.8403990730799
x41 = 52.9560482992302
x42 = 65.5224189135894
x43 = 316015.495590439
x44 = -40.3896776848711
x45 = -3.59261946538606
x46 = 512.530629346933
x47 = 41.2917313084636
x48 = -90.6551601423077
x49 = 27.8233070705119
x50 = 35.008546001284
x51 = -624.725911252573
x52 = 40.3896776848711
x53 = 84.3719748351282
x54 = -71.805604220769
x55 = 91.5572137659003
x56 = -27.8233070705119
x57 = 3.59261946538606
x58 = -60.1412872300023
x59 = 9.87580477256564
x60 = -638.194335490524
x61 = 78.0887895279486
x62 = -1863.41547039054
x63 = -65.5224189135894
x64 = -46.6728629920506
x65 = 90.6551601423077
x66 = 22.4421753869248
x67 = -78.9908431515411
x68 = 78.9908431515411
x69 = -21.5401217633323
x70 = 85.2740284587207
x71 = 72.7076578443615
x71 = 72.7076578443615
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