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- La ecuación:
-
Ecuación x^4+2*x^2-8=0
-
Ecuación x*(x^2+8*x+16)=5*(x+4)
-
Ecuación -25-x=-17
-
Ecuación x^2+3x=4
- Expresar {x} en función de y en la ecuación:
- -18*x-2*y=9
- -14*x+10*y=19
- -9*x+1*y=3
- -17*x+1*y=-11
- Integral de d{x}:
- cos2x
- Derivada de:
-
cos2x
-
-1
- Gráfico de la función y =:
-
cos2x
- Límite de la función:
-
-1
- Forma canónica:
- -1
-
Expresiones idénticas
- cos2x=- uno
- coseno de 2x es igual a menos 1
- coseno de 2x es igual a menos uno
-
Expresiones semejantes
- cos2x=+1
- cos(2*x)=1/2
- cos(2*x)+sqrt(2)*sin(x)+1=0
- cos(2*x)+3*sin(x)-2=0
cos2x=-1 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Solución detallada
Tenemos la ecuación
$$\cos{\left(2 x \right)} = -1$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$2 x = \pi n + \operatorname{acos}{\left(-1 \right)}$$
$$2 x = \pi n - \pi + \operatorname{acos}{\left(-1 \right)}$$
O
$$2 x = \pi n + \pi$$
$$2 x = \pi n$$
, donde n es cualquier número entero
Dividamos ambos miembros de la ecuación obtenida en
$$2$$
obtenemos la respuesta:
$$x_{1} = \frac{\pi n}{2} + \frac{\pi}{2}$$
$$x_{2} = \frac{\pi n}{2}$$
$$\cos{\left(2 x \right)} = -1$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$2 x = \pi n + \operatorname{acos}{\left(-1 \right)}$$
$$2 x = \pi n - \pi + \operatorname{acos}{\left(-1 \right)}$$
O
$$2 x = \pi n + \pi$$
$$2 x = \pi n$$
, donde n es cualquier número entero
Dividamos ambos miembros de la ecuación obtenida en
$$2$$
obtenemos la respuesta:
$$x_{1} = \frac{\pi n}{2} + \frac{\pi}{2}$$
$$x_{2} = \frac{\pi n}{2}$$
Suma y producto de raíces
[src]
suma
pi -- 2
$$\frac{\pi}{2}$$
=
pi -- 2
$$\frac{\pi}{2}$$
producto
pi -- 2
$$\frac{\pi}{2}$$
=
pi -- 2
$$\frac{\pi}{2}$$
pi/2
Respuesta numérica
[src]
x1 = 20.4203521497111
x2 = 42.4115007291722
x3 = -58.1194639993376
x4 = -7.85398149857354
x5 = -95.8185758681287
x6 = -17.2787590276524
x7 = 39.2699081179815
x8 = 76.9690197631883
x9 = 36.1283156002139
x10 = -70.6858346386357
x11 = -86.393797765473
x12 = -98.96016883042
x13 = -20.4203520321877
x14 = 92.6769830795146
x15 = 64.4026493086922
x16 = -45.5530935883361
x17 = -98.960168684456
x18 = -32.9867231091652
x19 = 61.2610569989704
x20 = -4.71238872430683
x21 = 83.2522052340866
x22 = 95.8185760590309
x23 = -83.2522055415057
x24 = -54.9778713137198
x25 = 32.986722928111
x26 = 14.1371671048484
x27 = -39.2699083866483
x28 = -80.1106125795659
x29 = -54.9778716831146
x30 = 7.85398174058521
x31 = -10.9955741902138
x32 = -92.6769830239371
x33 = -26.7035375427973
x34 = -36.1283154192437
x35 = 98.9601685932308
x36 = -76.9690202568697
x37 = 89.5353908552844
x38 = 86.393797888273
x39 = -92.6769831823972
x40 = 80.1106126771746
x41 = -14.1371668392726
x42 = -67.5442421675773
x43 = 76.9690207492347
x44 = -76.9690198771149
x45 = 67.5442422779275
x46 = 23.5619449395428
x47 = -39.2699081528781
x48 = 83.2522055730903
x49 = 39.2699084246933
x50 = -1.57079642969308
x51 = 29.845130320338
x52 = -32.9867227513827
x53 = 32.9867226137576
x54 = -23.5619450090417
x55 = -26.7035372990183
x56 = 54.9778711883962
x57 = 1.5707965454425
x58 = -42.4115006098842
x59 = -29.8451300963672
x60 = -48.6946860920117
x61 = -51.8362786897497
x62 = -48.6946858738636
x63 = 48.6946859238715
x64 = 51.8362788999928
x65 = -17.2787598091171
x66 = 61.2610566752601
x67 = 17.2787595624179
x68 = 45.553093700501
x69 = 26.7035373461441
x70 = 23.5619451230057
x71 = 10.9955743696636
x72 = -61.2610569641117
x73 = 98.9601683381274
x74 = -70.685834448838
x75 = 10.9955740392793
x76 = -64.4026491876462
x77 = 70.6858345016621
x78 = -61.2610562242523
x79 = 80.1106131434937
x80 = -89.5353907467661
x81 = 17.2787598502655
x82 = 541.924732890135
x83 = -73.8274272800405
x84 = 54.9778714849733
x85 = 76.9690200400775
x86 = 4.71238876848081
x87 = 58.1194644379895
x88 = 73.8274274795554
x89 = -4.7123889912442
x90 = -10.9955745350309
x91 = -98.9601684414698
x91 = -98.9601684414698
Gráfico