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cos(x)=(3/10)

cos(x)=(3/10) la ecuación

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Solución numérica:

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Solución

Ha introducido [src] 
cos(x) = 3/10
cos⁡(x)=310\cos{\left(x \right)} = \frac{3}{10}
Simplificar
Solución detallada
Tenemos la ecuación
cos⁡(x)=310\cos{\left(x \right)} = \frac{3}{10}
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
x=πn+acos⁡(310)x = \pi n + \operatorname{acos}{\left(\frac{3}{10} \right)}
x=πn−π+acos⁡(310)x = \pi n - \pi + \operatorname{acos}{\left(\frac{3}{10} \right)}
O
x=πn+acos⁡(310)x = \pi n + \operatorname{acos}{\left(\frac{3}{10} \right)}
x=πn−π+acos⁡(310)x = \pi n - \pi + \operatorname{acos}{\left(\frac{3}{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)
Respuesta rápida [src] 
x1 = -acos(3/10) + 2*pi
x1=−acos⁡(310)+2πx_{1} = - \operatorname{acos}{\left(\frac{3}{10} \right)} + 2 \pi 
x2 = acos(3/10)
x2=acos⁡(310)x_{2} = \operatorname{acos}{\left(\frac{3}{10} \right)} 
x2 = acos(3/10)
Suma y producto de raíces [src] 
suma
-acos(3/10) + 2*pi + acos(3/10)
acos⁡(310)+(−acos⁡(310)+2π)\operatorname{acos}{\left(\frac{3}{10} \right)} + \left(- \operatorname{acos}{\left(\frac{3}{10} \right)} + 2 \pi\right) 
=
2*pi
2π2 \pi 
producto
(-acos(3/10) + 2*pi)*acos(3/10)
(−acos⁡(310)+2π)acos⁡(310)\left(- \operatorname{acos}{\left(\frac{3}{10} \right)} + 2 \pi\right) \operatorname{acos}{\left(\frac{3}{10} \right)} 
=
(-acos(3/10) + 2*pi)*acos(3/10)
(−acos⁡(310)+2π)acos⁡(310)\left(- \operatorname{acos}{\left(\frac{3}{10} \right)} + 2 \pi\right) \operatorname{acos}{\left(\frac{3}{10} \right)} 
(-acos(3/10) + 2*pi)*acos(3/10)
Respuesta numérica [src] 
x1 = -48.9993787846572
x2 = -26.3988449014978
x3 = -76.6643273589345
x4 = 55.2825640918368
x5 = -36.433008170298
x6 = 86.6984906277347
x7 = 1.2661036727795
x8 = -89.2306979732937
x9 = -17.5834522487593
x10 = -51.5315861302162
x11 = 11.3002669415797
x12 = 20.1156595943183
x13 = 30.1498228631184
x14 = 26.3988449014978
x15 = -70.3811420517549
x16 = 67.8489347061959
x17 = 13.8324742871387
x18 = 76.6643273589345
x19 = -1.2661036727795
x20 = -5.01708163440009
x21 = 82.9475126661141
x22 = 89.2306979732937
x23 = -64.0979567445754
x24 = -23.8666375559388
x25 = -55.2825640918368
x26 = -38.965215515857
x27 = 74.1321200133755
x28 = 45.2484008230366
x29 = -92.9816759349143
x30 = -86.6984906277347
x31 = 5.01708163440009
x32 = 7.54928897995909
x33 = 80.4153053205551
x34 = -11.3002669415797
x35 = -74.1321200133755
x36 = 64.0979567445754
x37 = 32.6820302086774
x38 = -67.8489347061959
x39 = 99.2648612420939
x40 = -95.5138832804733
x41 = -45.2484008230366
x42 = 70.3811420517549
x43 = -7.54928897995909
x44 = 57.8147714373958
x45 = -82.9475126661141
x46 = -80.4153053205551
x47 = -61.5657493990164
x48 = -32.6820302086774
x49 = -20.1156595943183
x50 = -57.8147714373958
x51 = 42.7161934774776
x52 = -13.8324742871387
x53 = -42.7161934774776
x54 = 23.8666375559388
x55 = 92.9816759349143
x56 = 17.5834522487593
x57 = 51.5315861302162
x58 = -99.2648612420939
x59 = -30.1498228631184
x60 = 95.5138832804733
x61 = 38.965215515857
x62 = 36.433008170298
x63 = 48.9993787846572
x64 = 61.5657493990164
x64 = 61.5657493990164
Gráfico
cos(x)=(3/10) la ecuación
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