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- La ecuación:
-
Ecuación 7x+3=30-2x
-
Ecuación 7+x=4
-
Ecuación 3-3*6+2=x
-
Ecuación |x-2|+|x-4|=3
- Expresar {x} en función de y en la ecuación:
- 4*x+15*y=19
- 15*x+10*y=-4
- -2*x-14*y=7
- 12*x+14*y=-15
- Integral de d{x}:
- cos(3x)
- Derivada de:
-
cos(3x)
-
Expresiones idénticas
- cos(3x)
- coseno de (3x)
- cos3x
-
Expresiones semejantes
- sqrt(3)/2*cos(x)-1/2*sin(x)=cos3x
- cos(3*x)=-1
- sin^3x*cosx-sinx*cos^3x+(sqrt3/8)=0
- 3^(13/2)*cos(3*x)*cos(x-2*pi/3)=2*(sqrt(3)/2)
-
Expresiones con funciones
- Coseno cos
- cos(x/2)=1/2
- cos(x)
- cos(y)(e^x)=0
- cosx=-0,25
- cos(x/2-1)=sqrt(3)/2
cos(3x) 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 = -12.0427718387609
x2 = -23.5619449019235
x3 = 44.5058959258554
x4 = -29.845130209103
x5 = 91.6297857297023
x6 = 1.5707963267949
x7 = -21.4675497995303
x8 = 41.3643032722656
x9 = 42.4115008234622
x10 = 4.71238898038469
x11 = 36.1283155162826
x12 = -34.0339204138894
x13 = 34.0339204138894
x14 = 26.7035375555132
x15 = -5.75958653158129
x16 = 66.497044500984
x17 = 5.75958653158129
x18 = 9.94837673636768
x19 = -80.1106126665397
x20 = 86.3937979737193
x21 = 64.4026493985908
x22 = -95.8185759344887
x23 = 60.2138591938044
x24 = -1.5707963267949
x25 = 71.733032256967
x26 = -60.2138591938044
x27 = -78.0162175641465
x28 = 1676.03968069015
x29 = 53.9306738866248
x30 = -19.3731546971371
x31 = 73.8274273593601
x32 = 31.9395253114962
x33 = 12.0427718387609
x34 = 84.2994028713261
x35 = 78.0162175641465
x36 = -93.7241808320955
x37 = 22.5147473507269
x38 = -3.66519142918809
x39 = -27.7507351067098
x40 = -65.4498469497874
x41 = -38.2227106186758
x42 = 100.007366139275
x43 = 97.9129710368819
x44 = 49.7418836818384
x45 = -56.025068989018
x46 = -62.3082542961976
x47 = -51.8362787842316
x48 = 58.1194640914112
x49 = -73.8274273593601
x50 = 51.8362787842316
x51 = 27.7507351067098
x52 = -45.553093477052
x53 = 29.845130209103
x54 = 75.9218224617533
x55 = 80.1106126665397
x56 = -58.1194640914112
x57 = -49.7418836818384
x58 = -36.1283155162826
x59 = -71.733032256967
x60 = 16.2315620435473
x61 = -100.007366139275
x62 = -31.9395253114962
x63 = -9.94837673636768
x64 = -97.9129710368819
x65 = 38.2227106186758
x66 = -67.5442420521806
x67 = 0.523598775598299
x68 = -43.4586983746588
x69 = 62.3082542961976
x70 = -7.85398163397448
x71 = 82.2050077689329
x72 = 7.85398163397448
x73 = -14.1371669411541
x74 = 18.3259571459405
x75 = -53.9306738866248
x76 = -75.9218224617533
x77 = 93.7241808320955
x78 = -98.9601685880785
x79 = -91.6297857297023
x80 = 14.1371669411541
x81 = -16.2315620435473
x82 = -82.2050077689329
x83 = 15.1843644923507
x84 = 40.317105721069
x85 = 20.4203522483337
x86 = -69.6386371545737
x87 = 95.8185759344887
x88 = -89.5353906273091
x89 = -47.6474885794452
x90 = 68.5914396033772
x91 = 88.4881930761125
x92 = -25.6563400043166
x93 = 56.025068989018
x94 = -84.2994028713261
x95 = -61.261056745001
x96 = 87.4409955249159
x96 = 87.4409955249159