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- La ecuación:
-
Ecuación x^2-4x-21=0
-
Ecuación cos(3x)=0
- Ecuación 3y^2
-
Ecuación -3x^2+10x-3=0
- Expresar {x} en función de y en la ecuación:
- -5*x-2*y=-14
- 14*x+16*y=-3
- -20*x+18*y=-11
- 15*x-14*y=19
- Integral de d{x}:
- cos(3x)
- Derivada de:
-
cos(3x)
-
Expresiones idénticas
- cos(3x)= cero
- coseno de (3x) es igual a 0
- coseno de (3x) es igual a cero
- cos3x=0
- cos(3x)=O
-
Expresiones semejantes
- cos3x=1/2
- 2*cos^3x-cos^2x+2cosx-1=0
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Expresiones con funciones
- Coseno cos
- cos(2x)=-1/2
- cos(x)-x=0
- cos(z)=4
- cosx=-1
- cos2x-1=0
cos(3x)=0 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Solución detallada
Tenemos la ecuación
$$\cos{\left(3 x \right)} = 0$$
es la ecuación trigonométrica más simple
Obtenemos:
$$\cos{\left(3 x \right)} = 0$$
Esta ecuación se reorganiza en
$$3 x = \pi n + \operatorname{acos}{\left(0 \right)}$$
$$3 x = \pi n - \pi + \operatorname{acos}{\left(0 \right)}$$
O
$$3 x = \pi n + \frac{\pi}{2}$$
$$3 x = \pi n - \frac{\pi}{2}$$
, donde n es cualquier número entero
Dividamos ambos miembros de la ecuación obtenida en
$$3$$
obtenemos la respuesta:
$$x_{1} = \frac{\pi n}{3} + \frac{\pi}{6}$$
$$x_{2} = \frac{\pi n}{3} - \frac{\pi}{6}$$
$$\cos{\left(3 x \right)} = 0$$
es la ecuación trigonométrica más simple
cambiando el signo de 0
Obtenemos:
$$\cos{\left(3 x \right)} = 0$$
Esta ecuación se reorganiza en
$$3 x = \pi n + \operatorname{acos}{\left(0 \right)}$$
$$3 x = \pi n - \pi + \operatorname{acos}{\left(0 \right)}$$
O
$$3 x = \pi n + \frac{\pi}{2}$$
$$3 x = \pi n - \frac{\pi}{2}$$
, donde n es cualquier número entero
Dividamos ambos miembros de la ecuación obtenida en
$$3$$
obtenemos la respuesta:
$$x_{1} = \frac{\pi n}{3} + \frac{\pi}{6}$$
$$x_{2} = \frac{\pi n}{3} - \frac{\pi}{6}$$
Suma y producto de raíces
[src]
suma
pi pi -- + -- 6 2
$$\frac{\pi}{6} + \frac{\pi}{2}$$
=
2*pi ---- 3
$$\frac{2 \pi}{3}$$
producto
pi pi --*-- 6 2
$$\frac{\pi}{6} \frac{\pi}{2}$$
=
2 pi --- 12
$$\frac{\pi^{2}}{12}$$
pi^2/12
Respuesta rápida
[src]
pi
x1 = --
6
$$x_{1} = \frac{\pi}{6}$$
pi
x2 = --
2
$$x_{2} = \frac{\pi}{2}$$
x2 = pi/2
Respuesta numérica
[src]
x1 = 4.71238898038469
x2 = -3.66519142918809
x3 = 38.2227106186758
x4 = 88.4881930761125
x5 = -80.1106126665397
x6 = 5.75958653158129
x7 = 15.1843644923507
x8 = -82.2050077689329
x9 = 97.9129710368819
x10 = 68.5914396033772
x11 = -9.94837673636768
x12 = -56.025068989018
x13 = -16.2315620435473
x14 = -23.5619449019235
x15 = 60.2138591938044
x16 = 26.7035375555132
x17 = -73.8274273593601
x18 = -36.1283155162826
x19 = -84.2994028713261
x20 = -97.9129710368819
x21 = 86.3937979737193
x22 = -53.9306738866248
x23 = -19.3731546971371
x24 = 62.3082542961976
x25 = -100.007366139275
x26 = 49.7418836818384
x27 = -75.9218224617533
x28 = 66.497044500984
x29 = 93.7241808320955
x30 = 42.4115008234622
x31 = -67.5442420521806
x32 = 1.5707963267949
x33 = 14.1371669411541
x34 = -7.85398163397448
x35 = -78.0162175641465
x36 = 80.1106126665397
x37 = -91.6297857297023
x38 = 100.007366139275
x39 = 34.0339204138894
x40 = -29.845130209103
x41 = 91.6297857297023
x42 = 53.9306738866248
x43 = -69.6386371545737
x44 = 87.4409955249159
x45 = 12.0427718387609
x46 = -12.0427718387609
x47 = 82.2050077689329
x48 = -21.4675497995303
x49 = -47.6474885794452
x50 = 41.3643032722656
x51 = 9.94837673636768
x52 = 75.9218224617533
x53 = 51.8362787842316
x54 = -49.7418836818384
x55 = 95.8185759344887
x56 = -95.8185759344887
x57 = 56.025068989018
x58 = 44.5058959258554
x59 = 27.7507351067098
x60 = -93.7241808320955
x61 = 58.1194640914112
x62 = 29.845130209103
x63 = -43.4586983746588
x64 = -71.733032256967
x65 = -58.1194640914112
x66 = 36.1283155162826
x67 = -45.553093477052
x68 = 78.0162175641465
x69 = 0.523598775598299
x70 = -14.1371669411541
x71 = 18.3259571459405
x72 = -98.9601685880785
x73 = -25.6563400043166
x74 = 31.9395253114962
x75 = -5.75958653158129
x76 = -27.7507351067098
x77 = -34.0339204138894
x78 = -65.4498469497874
x79 = -62.3082542961976
x80 = -31.9395253114962
x81 = -61.261056745001
x82 = 22.5147473507269
x83 = 20.4203522483337
x84 = 84.2994028713261
x85 = 16.2315620435473
x86 = -60.2138591938044
x87 = -38.2227106186758
x88 = -51.8362787842316
x89 = 40.317105721069
x90 = 64.4026493985908
x91 = 73.8274273593601
x92 = 1676.03968069015
x93 = -1.5707963267949
x94 = 71.733032256967
x95 = 7.85398163397448
x96 = -89.5353906273091
x96 = -89.5353906273091
Gráfico