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- La ecuación:
-
Ecuación 8*x=2
-
Ecuación 3^x=81
-
Ecuación x^2=12
-
Ecuación -27x+220=-5x
- Expresar {x} en función de y en la ecuación:
- 4*x-1*y=-3
- -11*x+9*y=-20
- 9*x+17*y=13
- -17*x+2*y=9
- Integral de d{x}:
- cos(2*x)
- Derivada de:
-
cos(2*x)
- Gráfico de la función y =:
-
cos(2*x)
-
Expresiones idénticas
- cos(dos *x)=-(sqrt(tres)/ dos)
- coseno de (2 multiplicar por x) es igual a menos ( raíz cuadrada de (3) dividir por 2)
- coseno de (dos multiplicar por x) es igual a menos ( raíz cuadrada de (tres) dividir por dos)
- cos(2*x)=-(√(3)/2)
- cos(2x)=-(sqrt(3)/2)
- cos2x=-sqrt3/2
- cos(2*x)=-(sqrt(3) dividir por 2)
-
Expresiones semejantes
- cos(2*x)=+(sqrt(3)/2)
- cos^2(x)=1/2
- cos2x+5sinx+2=0
- sin2x=-(sqrt3/2)
- cos(pi*sqrtx)=-sqrt(3)/2
- cos(x)=-sqrt(3)/2
- sin(3*x-pi/4)=-sqrt(3)/2
- sin(3*x-pi/4)=(-sqrt(3))/2
-
Expresiones con funciones
- Coseno cos
- cos(2*x)+3*sin(x)+1=0
- cos(x)=4/7
- cos^2(x)=1/2
- cos2x+5sinx+2=0
- cos(x)/(sin(x)-1)=0
- Raíz cuadrada sqrt
- sqrt(3*x+1)=x-1
- sqrt3x+1=-9
- sqrt(7-x)+x=5
- sqrt(2/(5*x-18))=1/6
- sqrt(sin^4x+1)+sqrt(cos^4x+1)=5
cos(2*x)=-(sqrt(3)/2) la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
___
-\/ 3
cos(2*x) = -------
2
$$\cos{\left(2 x \right)} = - \frac{\sqrt{3}}{2}$$
Solución detallada
Tenemos la ecuación
$$\cos{\left(2 x \right)} = - \frac{\sqrt{3}}{2}$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$2 x = \pi n + \operatorname{acos}{\left(- \frac{\sqrt{3}}{2} \right)}$$
$$2 x = \pi n - \pi + \operatorname{acos}{\left(- \frac{\sqrt{3}}{2} \right)}$$
O
$$2 x = \pi n + \frac{5 \pi}{6}$$
$$2 x = \pi n - \frac{\pi}{6}$$
, donde n es cualquier número entero
Dividamos ambos miembros de la ecuación obtenida en
$$2$$
obtenemos la respuesta:
$$x_{1} = \frac{\pi n}{2} + \frac{5 \pi}{12}$$
$$x_{2} = \frac{\pi n}{2} - \frac{\pi}{12}$$
$$\cos{\left(2 x \right)} = - \frac{\sqrt{3}}{2}$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$2 x = \pi n + \operatorname{acos}{\left(- \frac{\sqrt{3}}{2} \right)}$$
$$2 x = \pi n - \pi + \operatorname{acos}{\left(- \frac{\sqrt{3}}{2} \right)}$$
O
$$2 x = \pi n + \frac{5 \pi}{6}$$
$$2 x = \pi n - \frac{\pi}{6}$$
, donde n es cualquier número entero
Dividamos ambos miembros de la ecuación obtenida en
$$2$$
obtenemos la respuesta:
$$x_{1} = \frac{\pi n}{2} + \frac{5 \pi}{12}$$
$$x_{2} = \frac{\pi n}{2} - \frac{\pi}{12}$$
Suma y producto de raíces
[src]
suma
5*pi 7*pi ---- + ---- 12 12
$$\frac{5 \pi}{12} + \frac{7 \pi}{12}$$
=
pi
$$\pi$$
producto
5*pi 7*pi ----*---- 12 12
$$\frac{5 \pi}{12} \frac{7 \pi}{12}$$
=
2 35*pi ------ 144
$$\frac{35 \pi^{2}}{144}$$
35*pi^2/144
Respuesta rápida
[src]
5*pi
x1 = ----
12
$$x_{1} = \frac{5 \pi}{12}$$
7*pi
x2 = ----
12
$$x_{2} = \frac{7 \pi}{12}$$
x2 = 7*pi/12
Respuesta numérica
[src]
x1 = -48.4328867428426
x2 = -99.2219679758776
x3 = -70.4240353179712
x4 = -58.3812634792103
x5 = 48.4328867428426
x6 = 60.9992573572018
x7 = -26.4417381677141
x8 = -39.5317075576716
x9 = 23.8237442897226
x10 = -30.1069295969022
x11 = 4.45058959258554
x12 = 74.0892267471593
x13 = 99.2219679758776
x14 = -8.11578102177363
x15 = 3925.15822127265
x16 = 96.0803753222878
x17 = 67.8060414399797
x18 = -74.0892267471593
x19 = 55.2396708256205
x20 = -42.1497014356631
x21 = -83.5140047079287
x22 = 32.7249234748937
x23 = -89.7971900151083
x24 = 82.9904059323304
x25 = -96.0803753222878
x26 = -45.2912940892529
x27 = -61.5228561328001
x28 = 98.6983692002793
x29 = -77.2308194007491
x30 = -54.7160720500222
x31 = -79.8488132787406
x32 = 64.1408500107916
x33 = -4.97418836818384
x34 = -92.4151838930998
x35 = -67.8060414399797
x36 = -23.8237442897226
x37 = -228.027266773059
x38 = 52.0980781720307
x39 = -76.7072206251508
x40 = 45.8148928648512
x41 = -98.6983692002793
x42 = 26.4417381677141
x43 = 83.5140047079287
x44 = 42.1497014356631
x45 = -1.83259571459405
x46 = -70.9476340935695
x47 = -52.0980781720307
x48 = -1.30899693899575
x49 = 1.83259571459405
x50 = 35.8665161284835
x51 = -13.8753675533549
x52 = -45.8148928648512
x53 = 8.11578102177363
x54 = 13.8753675533549
x55 = -55.2396708256205
x56 = -86.1319985859202
x57 = 77.2308194007491
x58 = -26.9653369433124
x59 = 1336.48587471466
x60 = 17.540558982543
x61 = 80.3724120543389
x62 = 33.248522250492
x63 = -33.248522250492
x64 = -48.9564855184409
x65 = 39.5317075576716
x66 = -57.857664703612
x67 = -11.2573736753634
x68 = 20.1585528605345
x69 = -17.540558982543
x70 = 39.0081087820733
x71 = -20.1585528605345
x72 = 58.3812634792103
x73 = 11.2573736753634
x74 = 10.7337748997651
x75 = 30.1069295969022
x76 = 89.7971900151083
x77 = -4.45058959258554
x78 = 86.1319985859202
x79 = 92.4151838930998
x80 = -89.27359123951
x81 = 76.7072206251508
x82 = -10.7337748997651
x83 = 61.5228561328001
x84 = -92.9387826686981
x85 = -35.8665161284835
x86 = -64.1408500107916
x87 = -82.9904059323304
x88 = -32.7249234748937
x89 = 70.4240353179712
x90 = 17.0169602069447
x91 = -1899.35455848283
x92 = 54.7160720500222
x92 = 54.7160720500222