Sr Examen
Otras calculadoras
-
¿Cómo usar?
- La ecuación:
-
Ecuación x^2+11=0
-
Ecuación x^3-x^2-x-1=0
-
Ecuación 5x+12=8x+30
-
Ecuación 1/x^2-3/x-4=0
- Expresar {x} en función de y en la ecuación:
- -7*x-13*y=5
- 15*x+1*y=19
- 7*x-1*y=-7
- 20*x+5*y=-3
- Integral de d{x}:
- cos(2*x)
- Derivada de:
-
cos(2*x)
- Límite de la función:
-
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
- sin^4x+cos^4x+cos2x=0.5
- sin2xcosx-sinxcos2x=1
- sin((pi-3*x)/4)=-(sqrt(3)/2)
- sin(2*x)=-(sqrt(3)/2)
- cosx=-sqrt3/2
- cos(2*x-pi/4)=0
- cos(2x)=-(1/2)
-
Expresiones con funciones
- Coseno cos
- cos(2*x-pi/4)=0
- cos(x)=-(2/5)
- cos(3*x+pi/4)=1
- cos(x)=4
- cos(2*x)=sqrt(2)/2
- Raíz cuadrada sqrt
- sqrt(x^2-x-3)=3
- sqrt-x=x+6
- sqrt(7*x-x^2)*(2*cos(x)-1)=0
- sqrt(2*cot(x))-1=0
- sqrt(2x+3)+sqrt(x-2)=2*sqrt(x-1)
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
$$\cos{\left(2 x \right)} = \frac{\left(-1\right) \sqrt{3}}{2}$$
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 = 61.5228561328001
x2 = -98.6983692002793
x3 = 80.3724120543389
x4 = -1.30899693899575
x5 = -70.9476340935695
x6 = -1899.35455848283
x7 = 10.7337748997651
x8 = 30.1069295969022
x9 = 17.0169602069447
x10 = -228.027266773059
x11 = 26.4417381677141
x12 = 4.45058959258554
x13 = -99.2219679758776
x14 = 39.5317075576716
x15 = 60.9992573572018
x16 = -52.0980781720307
x17 = 13.8753675533549
x18 = 77.2308194007491
x19 = -58.3812634792103
x20 = 35.8665161284835
x21 = -33.248522250492
x22 = -17.540558982543
x23 = -30.1069295969022
x24 = 23.8237442897226
x25 = 54.7160720500222
x26 = 98.6983692002793
x27 = 32.7249234748937
x28 = 20.1585528605345
x29 = -10.7337748997651
x30 = -48.4328867428426
x31 = 74.0892267471593
x32 = 83.5140047079287
x33 = -32.7249234748937
x34 = 42.1497014356631
x35 = -26.9653369433124
x36 = -67.8060414399797
x37 = -1.83259571459405
x38 = -89.27359123951
x39 = -8.11578102177363
x40 = -23.8237442897226
x41 = 11.2573736753634
x42 = -54.7160720500222
x43 = 67.8060414399797
x44 = -96.0803753222878
x45 = -26.4417381677141
x46 = 48.4328867428426
x47 = -76.7072206251508
x48 = -64.1408500107916
x49 = 92.4151838930998
x50 = -86.1319985859202
x51 = -61.5228561328001
x52 = -13.8753675533549
x53 = -11.2573736753634
x54 = -83.5140047079287
x55 = 33.248522250492
x56 = -45.2912940892529
x57 = 86.1319985859202
x58 = -70.4240353179712
x59 = 82.9904059323304
x60 = -20.1585528605345
x61 = 99.2219679758776
x62 = -79.8488132787406
x63 = -4.45058959258554
x64 = 64.1408500107916
x65 = 3925.15822127265
x66 = 39.0081087820733
x67 = -35.8665161284835
x68 = -55.2396708256205
x69 = 1336.48587471466
x70 = 45.8148928648512
x71 = 70.4240353179712
x72 = 8.11578102177363
x73 = 89.7971900151083
x74 = -92.4151838930998
x75 = 17.540558982543
x76 = -57.857664703612
x77 = -82.9904059323304
x78 = -92.9387826686981
x79 = -89.7971900151083
x80 = 96.0803753222878
x81 = -48.9564855184409
x82 = 52.0980781720307
x83 = 55.2396708256205
x84 = 58.3812634792103
x85 = -77.2308194007491
x86 = 76.7072206251508
x87 = -74.0892267471593
x88 = -45.8148928648512
x89 = 1.83259571459405
x90 = -42.1497014356631
x91 = -4.97418836818384
x92 = -39.5317075576716
x92 = -39.5317075576716