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cos(x)=4/7

cos(x)=4/7 la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
cos(x) = 4/7
$$\cos{\left(x \right)} = \frac{4}{7}$$
Solución detallada
Tenemos la ecuación
$$\cos{\left(x \right)} = \frac{4}{7}$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$x = \pi n + \operatorname{acos}{\left(\frac{4}{7} \right)}$$
$$x = \pi n - \pi + \operatorname{acos}{\left(\frac{4}{7} \right)}$$
O
$$x = \pi n + \operatorname{acos}{\left(\frac{4}{7} \right)}$$
$$x = \pi n - \pi + \operatorname{acos}{\left(\frac{4}{7} \right)}$$
, donde n es cualquier número entero
Gráfica
Respuesta rápida [src]
x1 = -acos(4/7) + 2*pi
$$x_{1} = - \operatorname{acos}{\left(\frac{4}{7} \right)} + 2 \pi$$
x2 = acos(4/7)
$$x_{2} = \operatorname{acos}{\left(\frac{4}{7} \right)}$$
x2 = acos(4/7)
Suma y producto de raíces [src]
suma
-acos(4/7) + 2*pi + acos(4/7)
$$\operatorname{acos}{\left(\frac{4}{7} \right)} + \left(- \operatorname{acos}{\left(\frac{4}{7} \right)} + 2 \pi\right)$$
=
2*pi
$$2 \pi$$
producto
(-acos(4/7) + 2*pi)*acos(4/7)
$$\left(- \operatorname{acos}{\left(\frac{4}{7} \right)} + 2 \pi\right) \operatorname{acos}{\left(\frac{4}{7} \right)}$$
=
(-acos(4/7) + 2*pi)*acos(4/7)
$$\left(- \operatorname{acos}{\left(\frac{4}{7} \right)} + 2 \pi\right) \operatorname{acos}{\left(\frac{4}{7} \right)}$$
(-acos(4/7) + 2*pi)*acos(4/7)
Respuesta numérica [src]
x1 = -24.1701904808337
x2 = 13.5289213622439
x3 = 32.3784772837826
x4 = 74.4356729382704
x5 = -95.2103303555785
x6 = -44.9448478981418
x7 = 26.095291976603
x8 = 87.0020435526295
x9 = -93.2852288598091
x10 = -26.095291976603
x11 = -61.8693023239112
x12 = 63.7944038196806
x13 = -87.0020435526295
x14 = 38.6616625909622
x15 = 70.0775891268601
x16 = -70.0775891268601
x17 = -13.5289213622439
x18 = -38.6616625909622
x19 = 68.1524876310908
x20 = -7.24573605506427
x21 = -36.7365610951928
x22 = 49.302931709552
x23 = 88.9271450483989
x24 = -68.1524876310908
x25 = 76.3607744340397
x26 = 93.2852288598091
x27 = -74.4356729382704
x28 = 82.6439597412193
x29 = 5.3206345592949
x30 = 51.2280332053214
x31 = 30.4533757880132
x32 = -49.302931709552
x33 = -82.6439597412193
x34 = -101.493515662758
x35 = -80.7188582454499
x36 = 24.1701904808337
x37 = -19.8121066694234
x38 = 44.9448478981418
x39 = -5.3206345592949
x40 = -55.5861170167316
x41 = 0.962550747884687
x42 = 80.7188582454499
x43 = 11.6038198664745
x44 = -51.2280332053214
x45 = -17.8870051736541
x46 = 57.511218512501
x47 = -11.6038198664745
x48 = 17.8870051736541
x49 = 19.8121066694234
x50 = -0.962550747884687
x51 = -99.5684141669887
x52 = -57.511218512501
x53 = -76.3607744340397
x54 = 7.24573605506427
x55 = 55.5861170167316
x56 = 43.0197464023724
x57 = -30.4533757880132
x58 = -88.9271450483989
x59 = -63.7944038196806
x60 = -32.3784772837826
x61 = -43.0197464023724
x62 = 36.7365610951928
x63 = 61.8693023239112
x64 = 99.5684141669887
x65 = 95.2103303555785
x65 = 95.2103303555785
Gráfico
cos(x)=4/7 la ecuación