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- La ecuación:
-
Ecuación 2x^2-x-1=x^2-5x-(-1-x^2)
-
Ecuación x(x^2+2x+1)=6(x+1)
-
Ecuación 4x+1=-3x+15
- Ecuación (3x−36)⋅(x+8)=0
- Expresar {x} en función de y en la ecuación:
- -6*x-20*y=8
- 13*x-12*y=19
- -9*x+11*y=9
- -4*x-8*y=-20
- Gráfico de la función y =:
-
sin(2*x)
- Integral de d{x}:
- sin(2*x)
- Derivada de:
-
sin(2*x)
-
Expresiones idénticas
- sin(dos *x)=-sqrt(tres)/ dos
- seno de (2 multiplicar por x) es igual a menos raíz cuadrada de (3) dividir por 2
- seno de (dos multiplicar por x) es igual a menos raíz cuadrada de (tres) dividir por dos
- sin(2*x)=-√(3)/2
- sin(2x)=-sqrt(3)/2
- sin2x=-sqrt3/2
- sin(2*x)=-sqrt(3) dividir por 2
-
Expresiones semejantes
- sin(2*x)=+sqrt(3)/2
- sin(2*x-pi*1/4)=1/2
- cos(x+(2pi/3))=-(sqrt(3)/2)
- sin0,5x=-(sqrt(3)/2)
- sin2x=-(sqrt3/2)
- (sin(x)-(sqrt(3)/2))*sqrt(3*x^2-7*x+4)=0
- 2sin^2(x)-sqrt(3)sin(x)/2cos(x)+1=0
-
Expresiones con funciones
- Seno sin
- sin(x)=pi
- sin(4*x)=0
- sin(x)^2=1
- sin(x)=(1/2)
- sin(x)+sin(2*x)+sin(3*x)=0
- Raíz cuadrada sqrt
- sqrt(x-1)=x-3
- sqrt(x+6)=x
- sqrt(16-4*x)=2
- sqrt(12-x)=x
- sqrt(5/(15-x))=1
sin(2*x)=-sqrt(3)/2 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
___
-\/ 3
sin(2*x) = -------
2
$$\sin{\left(2 x \right)} = \frac{\left(-1\right) \sqrt{3}}{2}$$
Solución detallada
Tenemos la ecuación
$$\sin{\left(2 x \right)} = \frac{\left(-1\right) \sqrt{3}}{2}$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$2 x = 2 \pi n + \operatorname{asin}{\left(- \frac{\sqrt{3}}{2} \right)}$$
$$2 x = 2 \pi n - \operatorname{asin}{\left(- \frac{\sqrt{3}}{2} \right)} + \pi$$
O
$$2 x = 2 \pi n - \frac{\pi}{3}$$
$$2 x = 2 \pi n + \frac{4 \pi}{3}$$
, donde n es cualquier número entero
Dividamos ambos miembros de la ecuación obtenida en
$$2$$
obtenemos la respuesta:
$$x_{1} = \pi n - \frac{\pi}{6}$$
$$x_{2} = \pi n + \frac{2 \pi}{3}$$
$$\sin{\left(2 x \right)} = \frac{\left(-1\right) \sqrt{3}}{2}$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$2 x = 2 \pi n + \operatorname{asin}{\left(- \frac{\sqrt{3}}{2} \right)}$$
$$2 x = 2 \pi n - \operatorname{asin}{\left(- \frac{\sqrt{3}}{2} \right)} + \pi$$
O
$$2 x = 2 \pi n - \frac{\pi}{3}$$
$$2 x = 2 \pi n + \frac{4 \pi}{3}$$
, donde n es cualquier número entero
Dividamos ambos miembros de la ecuación obtenida en
$$2$$
obtenemos la respuesta:
$$x_{1} = \pi n - \frac{\pi}{6}$$
$$x_{2} = \pi n + \frac{2 \pi}{3}$$
Respuesta rápida
[src]
-pi
x1 = ----
6
$$x_{1} = - \frac{\pi}{6}$$
2*pi
x2 = ----
3
$$x_{2} = \frac{2 \pi}{3}$$
x2 = 2*pi/3
Suma y producto de raíces
[src]
suma
pi 2*pi - -- + ---- 6 3
$$- \frac{\pi}{6} + \frac{2 \pi}{3}$$
=
pi -- 2
$$\frac{\pi}{2}$$
producto
-pi 2*pi ----*---- 6 3
$$- \frac{\pi}{6} \frac{2 \pi}{3}$$
=
2 -pi ----- 9
$$- \frac{\pi^{2}}{9}$$
-pi^2/9
Respuesta numérica
[src]
x1 = -3.66519142918809
x2 = 5.75958653158129
x3 = 15.1843644923507
x4 = -82.2050077689329
x5 = 124.616508592395
x6 = 68.5914396033772
x7 = -51.3126800086333
x8 = -9.94837673636768
x9 = -16.2315620435473
x10 = -35.6047167406843
x11 = -73.3038285837618
x12 = -13.6135681655558
x13 = -7.33038285837618
x14 = -97.9129710368819
x15 = 71.2094334813686
x16 = -53.9306738866248
x17 = 90.0589894029074
x18 = 62.3082542961976
x19 = 49.7418836818384
x20 = 68.0678408277789
x21 = -1257.16066021152
x22 = -67.0206432765823
x23 = 8.37758040957278
x24 = -75.9218224617533
x25 = 93.7241808320955
x26 = 36.6519142918809
x27 = -261.799387799149
x28 = -28.7979326579064
x29 = -91.6297857297023
x30 = 2.0943951023932
x31 = 100.007366139275
x32 = 34.0339204138894
x33 = 37.1755130674792
x34 = -19.8967534727354
x35 = -16.7551608191456
x36 = -69.6386371545737
x37 = 87.4409955249159
x38 = -94.7713783832921
x39 = 12.0427718387609
x40 = 14.6607657167524
x41 = -47.6474885794452
x42 = 24.0855436775217
x43 = -23.0383461263252
x44 = 52.3598775598299
x45 = 64.9262481741891
x46 = 56.025068989018
x47 = 27.7507351067098
x48 = -72.7802298081635
x49 = 43.4586983746588
x50 = -66.497044500984
x51 = -44.5058959258554
x52 = 58.6430628670095
x53 = 21.4675497995303
x54 = 39900.3210956928
x55 = 96.342174710087
x56 = -50.789081233035
x57 = -29.3215314335047
x58 = -57.5958653158129
x59 = 78.0162175641465
x60 = -60.7374579694027
x61 = -1.0471975511966
x62 = 18.3259571459405
x63 = -85.870199198121
x64 = -25.6563400043166
x65 = -95.2949771588904
x66 = -0.523598775598299
x67 = -79.5870138909414
x68 = 65.4498469497874
x69 = -242.426233102012
x70 = 20.943951023932
x71 = 42.9350995990605
x72 = 8.90117918517108
x73 = 80.634211442138
x74 = -4.18879020478639
x75 = -31.9395253114962
x76 = -41.8879020478639
x77 = 46.0766922526503
x78 = -88.4881930761125
x79 = 86.9173967493176
x80 = -6.80678408277789
x81 = 84.2994028713261
x82 = -22.5147473507269
x83 = -60.2138591938044
x84 = -38.2227106186758
x85 = 40.317105721069
x86 = 74.3510261349584
x87 = 71.733032256967
x88 = -89.0117918517108
x89 = 30.3687289847013
x90 = -63.8790506229925
x91 = -45.0294947014537
x91 = -45.0294947014537
Gráfico