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cosx=2/11 la ecuación

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Solución numérica:

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Solución

Ha introducido [src] 
cos(x) = 2/11
cos⁡(x)=211\cos{\left(x \right)} = \frac{2}{11}
Simplificar
Solución detallada
Tenemos la ecuación
cos⁡(x)=211\cos{\left(x \right)} = \frac{2}{11}
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
x=πn+acos⁡(211)x = \pi n + \operatorname{acos}{\left(\frac{2}{11} \right)}
x=πn−π+acos⁡(211)x = \pi n - \pi + \operatorname{acos}{\left(\frac{2}{11} \right)}
O
x=πn+acos⁡(211)x = \pi n + \operatorname{acos}{\left(\frac{2}{11} \right)}
x=πn−π+acos⁡(211)x = \pi n - \pi + \operatorname{acos}{\left(\frac{2}{11} \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)
Respuesta rápida [src] 
x1 = -acos(2/11) + 2*pi
x1=−acos⁡(211)+2πx_{1} = - \operatorname{acos}{\left(\frac{2}{11} \right)} + 2 \pi 
x2 = acos(2/11)
x2=acos⁡(211)x_{2} = \operatorname{acos}{\left(\frac{2}{11} \right)} 
x2 = acos(2/11)
Suma y producto de raíces [src] 
suma
-acos(2/11) + 2*pi + acos(2/11)
acos⁡(211)+(−acos⁡(211)+2π)\operatorname{acos}{\left(\frac{2}{11} \right)} + \left(- \operatorname{acos}{\left(\frac{2}{11} \right)} + 2 \pi\right) 
=
2*pi
2π2 \pi 
producto
(-acos(2/11) + 2*pi)*acos(2/11)
(−acos⁡(211)+2π)acos⁡(211)\left(- \operatorname{acos}{\left(\frac{2}{11} \right)} + 2 \pi\right) \operatorname{acos}{\left(\frac{2}{11} \right)} 
=
(-acos(2/11) + 2*pi)*acos(2/11)
(−acos⁡(211)+2π)acos⁡(211)\left(- \operatorname{acos}{\left(\frac{2}{11} \right)} + 2 \pi\right) \operatorname{acos}{\left(\frac{2}{11} \right)} 
(-acos(2/11) + 2*pi)*acos(2/11)
Respuesta numérica [src] 
x1 = -86.5766331107122
x2 = -64.2198142615978
x3 = -80.2934478035326
x4 = 86.5766331107122
x5 = 32.8038877256999
x6 = -92.8598184178918
x7 = -61.4438918819939
x8 = 64.2198142615978
x9 = 39.0870730328795
x10 = -13.9543318041612
x11 = -89.3525554903162
x12 = 51.6534436472387
x13 = -57.9366289544183
x14 = 26.5207024185203
x15 = 67.7270771891735
x16 = 42.5943359604551
x17 = 30.0279653460959
x18 = -101.918926104675
x19 = -42.5943359604551
x20 = 74.0102624963531
x21 = -26.5207024185203
x22 = 45.3702583400591
x23 = 145.901223254932
x24 = 55.1607065748143
x25 = 76.786184875957
x26 = -11.1784094245572
x27 = -67.7270771891735
x28 = 57.9366289544183
x29 = 95.6357407974958
x30 = 13.9543318041612
x31 = -36.3111506532755
x32 = -76.786184875957
x33 = 4.8952241173776
x34 = 89.3525554903162
x35 = -17.4615947317368
x36 = -1.38796118980199
x37 = 11.1784094245572
x38 = -7.67114649698157
x39 = -4.8952241173776
x40 = 80.2934478035326
x41 = 20.2375171113407
x42 = -45.3702583400591
x43 = 48.8775212676347
x44 = -55.1607065748143
x45 = 61.4438918819939
x46 = 17.4615947317368
x47 = 7.67114649698157
x48 = 83.0693701831366
x49 = -32.8038877256999
x50 = 99.1430037250714
x51 = 70.5029995687774
x52 = 92.8598184178918
x53 = -39.0870730328795
x54 = 23.7447800389164
x55 = -51.6534436472387
x56 = 1.38796118980199
x57 = -74.0102624963531
x58 = -48.8775212676347
x59 = -99.1430037250714
x60 = 36.3111506532755
x61 = -83.0693701831366
x62 = -30.0279653460959
x63 = -95.6357407974958
x64 = -20.2375171113407
x65 = -23.7447800389164
x66 = -70.5029995687774
x66 = -70.5029995687774
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