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cos(x)=-0,3

cos(x)=-0,3 la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
cos(x) = -3/10
$$\cos{\left(x \right)} = - \frac{3}{10}$$
Solución detallada
Tenemos la ecuación
$$\cos{\left(x \right)} = - \frac{3}{10}$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$x = \pi n + \operatorname{acos}{\left(- \frac{3}{10} \right)}$$
$$x = \pi n - \pi + \operatorname{acos}{\left(- \frac{3}{10} \right)}$$
O
$$x = \pi n + \operatorname{acos}{\left(- \frac{3}{10} \right)}$$
$$x = \pi n - \pi + \operatorname{acos}{\left(- \frac{3}{10} \right)}$$
, donde n es cualquier número entero
Gráfica
Respuesta rápida [src]
x1 = -acos(-3/10) + 2*pi
$$x_{1} = - \operatorname{acos}{\left(- \frac{3}{10} \right)} + 2 \pi$$
x2 = acos(-3/10)
$$x_{2} = \operatorname{acos}{\left(- \frac{3}{10} \right)}$$
x2 = acos(-3/10)
Suma y producto de raíces [src]
suma
-acos(-3/10) + 2*pi + acos(-3/10)
$$\operatorname{acos}{\left(- \frac{3}{10} \right)} + \left(- \operatorname{acos}{\left(- \frac{3}{10} \right)} + 2 \pi\right)$$
=
2*pi
$$2 \pi$$
producto
(-acos(-3/10) + 2*pi)*acos(-3/10)
$$\left(- \operatorname{acos}{\left(- \frac{3}{10} \right)} + 2 \pi\right) \operatorname{acos}{\left(- \frac{3}{10} \right)}$$
=
(-acos(-3/10) + 2*pi)*acos(-3/10)
$$\left(- \operatorname{acos}{\left(- \frac{3}{10} \right)} + 2 \pi\right) \operatorname{acos}{\left(- \frac{3}{10} \right)}$$
(-acos(-3/10) + 2*pi)*acos(-3/10)
Respuesta numérica [src]
x1 = -70.9905273597857
x2 = 29.5404375550876
x3 = 20.7250449023491
x4 = 1.87548898081029
x5 = -83.5568979741449
x6 = -73.5227347053447
x7 = 60.9563640909856
x8 = 77.2737126669653
x9 = 92.3722906268835
x10 = 10.6908816335489
x11 = -39.5746008238878
x12 = 79.8059200125243
x13 = -142.63777308432
x14 = -27.0082302095286
x15 = -60.9563640909856
x16 = 96.1232685885041
x17 = 35.8236228622672
x18 = 284.618827803892
x19 = 52.140971438247
x20 = -96.1232685885041
x21 = -16.9740669407285
x22 = 8.15867428798988
x23 = -14.4418595951695
x24 = -92.3722906268835
x25 = 27.0082302095286
x26 = 14.4418595951695
x27 = 70.9905273597857
x28 = -67.2395493981652
x29 = 42.1068081694468
x30 = -4.40769632636929
x31 = -58.4241567454266
x32 = 4.40769632636929
x33 = 64.7073420526062
x34 = -52.140971438247
x35 = 86.0891053197039
x36 = -48.3899934766264
x37 = -79.8059200125243
x38 = 16.9740669407285
x39 = 89.8400832813245
x40 = 23.2572522479081
x41 = 58.4241567454266
x42 = -77.2737126669653
x43 = -54.673178783806
x44 = -45.8577861310674
x45 = -42.1068081694468
x46 = 45.8577861310674
x47 = -10.6908816335489
x48 = 83.5568979741449
x49 = -1.87548898081029
x50 = 67.2395493981652
x51 = -98.6554759340631
x52 = -29.5404375550876
x53 = 39.5746008238878
x54 = -35.8236228622672
x55 = -23.2572522479081
x56 = 33.2914155167082
x57 = 48.3899934766264
x58 = -86.0891053197039
x59 = 73.5227347053447
x60 = -33.2914155167082
x61 = -64.7073420526062
x62 = -8.15867428798988
x63 = 98.6554759340631
x64 = 54.673178783806
x65 = -89.8400832813245
x66 = -20.7250449023491
x66 = -20.7250449023491
Gráfico
cos(x)=-0,3 la ecuación