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- Expresar {x} en función de y en la ecuación:
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Expresiones idénticas
- dos cosx+2= cero
- 2 coseno de x más 2 es igual a 0
- dos coseno de x más 2 es igual a cero
- 2cosx+2=O
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Expresiones semejantes
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- 2cosx-2=0
- sinx*c*cosx=c*sinx-2*cosx+2*cosx
- 2*(3^(1/2))*cos(x)+2*sin(2*x)=3+2*(3^(1/2))*sin(x)
- 6*sin(2*x)=12*cos(x)+2*sin(x)-2
2cosx+2=0 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Solución detallada
Tenemos la ecuación
$$2 \cos{\left(x \right)} + 2 = 0$$
es la ecuación trigonométrica más simple
Obtenemos:
$$2 \cos{\left(x \right)} = -2$$
La ecuación se convierte en
$$\cos{\left(x \right)} = -1$$
Esta ecuación se reorganiza en
$$x = \pi n + \operatorname{acos}{\left(-1 \right)}$$
$$x = \pi n - \pi + \operatorname{acos}{\left(-1 \right)}$$
O
$$x = \pi n + \pi$$
$$x = \pi n$$
, donde n es cualquier número entero
$$2 \cos{\left(x \right)} + 2 = 0$$
es la ecuación trigonométrica más simple
Transportemos 2 al miembro derecho de la ecuación
cambiando el signo de 2
Obtenemos:
$$2 \cos{\left(x \right)} = -2$$
Dividamos ambos miembros de la ecuación en 2
La ecuación se convierte en
$$\cos{\left(x \right)} = -1$$
Esta ecuación se reorganiza en
$$x = \pi n + \operatorname{acos}{\left(-1 \right)}$$
$$x = \pi n - \pi + \operatorname{acos}{\left(-1 \right)}$$
O
$$x = \pi n + \pi$$
$$x = \pi n$$
, donde n es cualquier número entero
Respuesta numérica
[src]
x1 = -97.3893717476911
x2 = -47.1238893275319
x3 = 53.4070746418597
x4 = 97.3893717959212
x5 = 3.14159306054457
x6 = -3.14159295109225
x7 = -9.4247781365785
x8 = 78.5398152766482
x9 = 21.9911485852059
x10 = 53.407075424589
x11 = -59.6902599212271
x12 = -40.8407049008781
x13 = 59.6902606104322
x14 = -40.8407040952604
x15 = -9.42477752082051
x16 = -65.9734449870253
x17 = 28.2743335663982
x18 = -97.3893724533348
x19 = 15.7079627593774
x20 = -1127.83176318906
x21 = 15.7079634518075
x22 = -91.106187265474
x23 = 72.2566310277176
x24 = 78.5398166181283
x25 = 78.5398168562347
x26 = 15.7079629803241
x27 = 40.8407045848602
x28 = 65.9734457529812
x29 = 3.1415922548952
x30 = 59.6902600526626
x31 = 21.9911480932338
x32 = 65.9734460390947
x33 = -53.4070745963886
x34 = 47.1238902162437
x35 = -28.2743340989896
x36 = -3.14159217367683
x37 = 84.8230021335997
x38 = 47.123889410773
x39 = -72.2566308657983
x40 = -78.5398168194507
x41 = 72.2566306985
x42 = -15.7079635641079
x43 = -65.9734461969855
x44 = 97.389372581711
x45 = 84.8230013636028
x46 = 28.2743338651796
x47 = -65.9734453607004
x48 = 40.8407045792514
x49 = 21.9911489072506
x50 = -91.1061864815274
x51 = -78.5398160472843
x52 = -47.1238901083229
x53 = -21.9911490521325
x54 = -72.2566315419804
x55 = -28.2743343914215
x56 = -21.991148226056
x57 = 65.9734452390837
x58 = -59.6902604578012
x59 = -53.4070745786761
x60 = 9.42477748794163
x61 = -34.5575188899093
x62 = -9.42477744529557
x63 = 72.2566315166773
x64 = 40.8407042062167
x65 = -59.6902606928653
x66 = -72.2566311847166
x67 = -40.8407049290801
x68 = 34.5575190219169
x69 = 91.1061873718352
x70 = 34.5575195449229
x71 = -21.9911485864417
x72 = -65.9734457649277
x73 = -97.3893716284562
x74 = 91.1061865667532
x75 = 78.5398161804942
x76 = -84.8230012511693
x77 = -15.7079632965989
x78 = -84.8230020565447
x79 = -34.5575196658297
x80 = -53.407075294995
x81 = 28.2743343711514
x82 = 40.8407049800347
x83 = 59.6902599104079
x84 = -15.707962774825
x85 = 9.42477826738203
x86 = 34.5575197055812
x87 = 15.707963957033
x88 = -28.2743337069329
x88 = -28.2743337069329