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- La ecuación:
-
Ecuación x^2-10x+24=0
-
Ecuación x^2-3*x-4=0
- Ecuación x^2-100=0
-
Ecuación x^2-6x+13=0
- Expresar {x} en función de y en la ecuación:
- 4*x+3*y=-15
- 10*x-1*y=10
- 17*x+14*y=-17
- -10*x+9*y=-6
- Integral de d{x}:
- cos(-2x)
- Gráfico de la función y =:
- cos(-2x)
-
Expresiones idénticas
- cos(- dos x)=-√ tres /2
- coseno de ( menos 2x) es igual a menos √3 dividir por 2
- coseno de ( menos dos x) es igual a menos √ tres dividir por 2
- cos-2x=-√3/2
- cos(-2x)=-√3 dividir por 2
-
Expresiones semejantes
- sin(x)=-(√3/2)
- cos(-2*x)=-1
- -sin(x)+cos(-2*x+3*pi/2)=0
- ctg(x/3)=-(√3/2)
- (cos(-2*x)+1)*(sin(-x)+1)=0
- cos(-2x)=+√3/2
- cos(2x)=-√3/2
- cos^-2(x)=1
-
Expresiones con funciones
- Coseno cos
- cosy=ae^(-x)
- cos(x)=-(sqrt(2))/2
- cos(x/2)=-(1/2)
- cos(x)=(2/5)
- cos(2*x+pi/4)=0
cos(-2x)=-√3/2 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
___
-\/ 3
cos(-2*x) = -------
2
$$\cos{\left(- 2 x \right)} = \frac{\left(-1\right) \sqrt{3}}{2}$$
Solución detallada
Tenemos la ecuación
$$\cos{\left(- 2 x \right)} = \frac{\left(-1\right) \sqrt{3}}{2}$$
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:
$$x_{1} = \frac{\pi n}{2} + \frac{5 \pi}{12}$$
$$x_{2} = \frac{\pi n}{2} - \frac{\pi}{12}$$
$$\cos{\left(- 2 x \right)} = \frac{\left(-1\right) \sqrt{3}}{2}$$
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:
$$x_{1} = \frac{\pi n}{2} + \frac{5 \pi}{12}$$
$$x_{2} = \frac{\pi n}{2} - \frac{\pi}{12}$$
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
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 numérica
[src]
x1 = -1.83259571459405
x2 = -57.857664703612
x3 = -82.9904059323304
x4 = 45.8148928648512
x5 = -70.4240353179712
x6 = 23.8237442897226
x7 = -74.0892267471593
x8 = 13.8753675533549
x9 = 74.0892267471593
x10 = -1.30899693899575
x11 = 1.83259571459405
x12 = 39.5317075576716
x13 = -52.0980781720307
x14 = 60.9992573572018
x15 = -76.7072206251508
x16 = -67.8060414399797
x17 = 32.7249234748937
x18 = 4.45058959258554
x19 = -83.5140047079287
x20 = -99.2219679758776
x21 = -17.540558982543
x22 = 30.1069295969022
x23 = 55.2396708256205
x24 = -45.2912940892529
x25 = 26.4417381677141
x26 = 67.8060414399797
x27 = -13.8753675533549
x28 = -48.9564855184409
x29 = -98.6983692002793
x30 = 42.1497014356631
x31 = 89.7971900151083
x32 = 61.5228561328001
x33 = -86.1319985859202
x34 = 58.3812634792103
x35 = -79.8488132787406
x36 = -26.9653369433124
x37 = 33.248522250492
x38 = -64.1408500107916
x39 = 17.0169602069447
x40 = -48.4328867428426
x41 = 20.1585528605345
x42 = -32.7249234748937
x43 = 52.0980781720307
x44 = -23.8237442897226
x45 = 39.0081087820733
x46 = 1336.48587471466
x47 = -8.11578102177363
x48 = 77.2308194007491
x49 = -55.2396708256205
x50 = -1899.35455848283
x51 = -33.248522250492
x52 = -35.8665161284835
x53 = -58.3812634792103
x54 = -4.45058959258554
x55 = 80.3724120543389
x56 = 35.8665161284835
x57 = 83.5140047079287
x58 = 82.9904059323304
x59 = -4.97418836818384
x60 = 99.2219679758776
x61 = -30.1069295969022
x62 = 96.0803753222878
x63 = -89.7971900151083
x64 = -89.27359123951
x65 = 98.6983692002793
x66 = -11.2573736753634
x67 = -228.027266773059
x68 = 54.7160720500222
x69 = 76.7072206251508
x70 = -92.4151838930998
x71 = 3925.15822127265
x72 = -61.5228561328001
x73 = -10.7337748997651
x74 = -39.5317075576716
x75 = -45.8148928648512
x76 = 48.4328867428426
x77 = -96.0803753222878
x78 = -42.1497014356631
x79 = -92.9387826686981
x80 = -54.7160720500222
x81 = 10.7337748997651
x82 = 17.540558982543
x83 = 86.1319985859202
x84 = 8.11578102177363
x85 = -20.1585528605345
x86 = -70.9476340935695
x87 = 64.1408500107916
x88 = 11.2573736753634
x89 = -77.2308194007491
x90 = 70.4240353179712
x91 = 92.4151838930998
x92 = -26.4417381677141
x92 = -26.4417381677141