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- La ecuación:
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Ecuación 3^x+4^x=5^x
-
Ecuación (x-2)^4+3*(x-2)^2-10=0
-
Ecuación x+2/x=3
-
Ecuación x^2=-2
- Expresar {x} en función de y en la ecuación:
- -9*x-15*y=-4
- -13*x+7*y=11
- -7*x-7*y=-14
- 2*x+13*y=19
- Gráfico de la función y =:
-
sinx
- Suma de la serie:
- sinx
- Integral de d{x}:
- sinx
-
Expresiones idénticas
- sinx= tres : ocho
- seno de x es igual a 3:8
- seno de x es igual a tres : ocho
-
Expresiones semejantes
- (225*3):8=(64-x^2)*(x^2-4)
- (180:a+15×3):8=6
- sin(x/3)=1/2
- sin(x)+1/2=0
- sin(x)=4
- sin(x+pi/3)=0
- 5*sin(x)+cos(x)=5
-
Expresiones con funciones
- sinx
- sinx+1=0
- sinx+1/2*sin2x=0
- sinxcosx+2sin2x=cos2x
- sinx=-1/2
- sinx=cosx
sinx=3:8 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Solución detallada
Tenemos la ecuación
$$\sin{\left(x \right)} = \frac{3}{8}$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$x = 2 \pi n + \operatorname{asin}{\left(\frac{3}{8} \right)}$$
$$x = 2 \pi n - \operatorname{asin}{\left(\frac{3}{8} \right)} + \pi$$
O
$$x = 2 \pi n + \operatorname{asin}{\left(\frac{3}{8} \right)}$$
$$x = 2 \pi n - \operatorname{asin}{\left(\frac{3}{8} \right)} + \pi$$
, donde n es cualquier número entero
$$\sin{\left(x \right)} = \frac{3}{8}$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$x = 2 \pi n + \operatorname{asin}{\left(\frac{3}{8} \right)}$$
$$x = 2 \pi n - \operatorname{asin}{\left(\frac{3}{8} \right)} + \pi$$
O
$$x = 2 \pi n + \operatorname{asin}{\left(\frac{3}{8} \right)}$$
$$x = 2 \pi n - \operatorname{asin}{\left(\frac{3}{8} \right)} + \pi$$
, donde n es cualquier número entero
Suma y producto de raíces
[src]
suma
pi - asin(3/8) + asin(3/8)
$$\operatorname{asin}{\left(\frac{3}{8} \right)} + \left(\pi - \operatorname{asin}{\left(\frac{3}{8} \right)}\right)$$
=
pi
$$\pi$$
producto
(pi - asin(3/8))*asin(3/8)
$$\left(\pi - \operatorname{asin}{\left(\frac{3}{8} \right)}\right) \operatorname{asin}{\left(\frac{3}{8} \right)}$$
=
(pi - asin(3/8))*asin(3/8)
$$\left(\pi - \operatorname{asin}{\left(\frac{3}{8} \right)}\right) \operatorname{asin}{\left(\frac{3}{8} \right)}$$
(pi - asin(3/8))*asin(3/8)
Respuesta rápida
[src]
x1 = pi - asin(3/8)
$$x_{1} = \pi - \operatorname{asin}{\left(\frac{3}{8} \right)}$$
x2 = asin(3/8)
$$x_{2} = \operatorname{asin}{\left(\frac{3}{8} \right)}$$
x2 = asin(3/8)
Respuesta numérica
[src]
x1 = 44.3666939247527
x2 = 9.04038118627374
x3 = 100.915361689369
x4 = -43.5979003757615
x5 = -31.0315297614023
x6 = -49.8810856829411
x7 = 0.384396774495639
x8 = 84.4386048724288
x9 = -16.0923600424446
x10 = -85.2073984214201
x11 = -68.7306416044798
x12 = -22.3755453496242
x13 = 31.8003233103936
x14 = -47.5082865783425
x15 = 12.9507673888548
x16 = 201.446326604242
x17 = -66.3578424998813
x18 = -18.4651591470431
x19 = -93.8633828331982
x20 = -5.89878853268395
x21 = 50.6498792319323
x22 = 40.4563077221717
x23 = -24.7483444542227
x24 = -41.2251012711629
x25 = 15.3235664934533
x26 = -87.5801975260186
x27 = 75.7826204606507
x28 = -100.146568140378
x29 = 38.0835086175732
x30 = 59.3058636437104
x31 = 63.2162498462915
x32 = 6.66758208167523
x33 = 82.0658057678303
x34 = 56.9330645391119
x35 = -34.9419159639834
x36 = -60.0746571927017
x37 = 25.517138003214
x38 = 78.1554195652492
x39 = -97.7737690357792
x40 = 97.004975486788
x41 = 2.75719587909415
x42 = 53.0226783365308
x43 = -53.7914718855221
x44 = 65.58904895089
x45 = 90.7217901796084
x46 = 94.6321763821894
x47 = 69.4994351534711
x48 = -62.4474562973002
x49 = -12.1819738398635
x50 = 71.8722342580696
x51 = -78.9242131142405
x52 = 21.6067518006329
x53 = 88.3489910750098
x54 = 27.8899371078125
x55 = 19.2339526960344
x56 = 34.1731224149921
x57 = -72.6410278070609
x58 = -1249.96947935424
x59 = -91.4905837285996
x60 = -200.677533055251
x61 = 46.7394930293513
x62 = -81.297012218839
x63 = -28.6587306568038
x64 = -9.80917473526502
x65 = -56.1642709901206
x66 = -37.3147150685819
x67 = -75.0138269116594
x68 = -3.52598942808543
x68 = -3.52598942808543