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- La ecuación:
-
Ecuación x^2-4x+5=0
-
Ecuación x^2+3x+2=0
-
Ecuación -25-x=-17
-
Ecuación x^2+3x=4
- Expresar {x} en función de y en la ecuación:
- 10*x-2*y=0
- 1*x+4*y=20
- 3*x-7*y=13
- 13*x-15*y=-6
- Límite de la función:
-
sin(x)
- Derivada de:
-
sin(x)
- Forma canónica:
- sin(x)
- Integral de d{x}:
- -1/5
-
Expresiones idénticas
- sin(x)=- uno / cinco
- seno de (x) es igual a menos 1 dividir por 5
- seno de (x) es igual a menos uno dividir por cinco
- sinx=-1/5
- sin(x)=-1 dividir por 5
-
Expresiones semejantes
- sin(x)=+1/5
- (6*x-1)/(5-x)=(6*x+3)/9+4/3
- tg(X)-(1/(5*X))=0
- sinx=-1/5
-
Expresiones con funciones
- Seno sin
- sin^24𝑥−sin4𝑥−2=0
- sin(3*x)=1
- sin=-1
- sin(2*x)=1
- sin(4*x)=1
sin(x)=-1/5 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Solución detallada
Tenemos la ecuación
$$\sin{\left(x \right)} = - \frac{1}{5}$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$x = 2 \pi n + \operatorname{asin}{\left(- \frac{1}{5} \right)}$$
$$x = 2 \pi n - \operatorname{asin}{\left(- \frac{1}{5} \right)} + \pi$$
O
$$x = 2 \pi n - \operatorname{asin}{\left(\frac{1}{5} \right)}$$
$$x = 2 \pi n + \operatorname{asin}{\left(\frac{1}{5} \right)} + \pi$$
, donde n es cualquier número entero
$$\sin{\left(x \right)} = - \frac{1}{5}$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$x = 2 \pi n + \operatorname{asin}{\left(- \frac{1}{5} \right)}$$
$$x = 2 \pi n - \operatorname{asin}{\left(- \frac{1}{5} \right)} + \pi$$
O
$$x = 2 \pi n - \operatorname{asin}{\left(\frac{1}{5} \right)}$$
$$x = 2 \pi n + \operatorname{asin}{\left(\frac{1}{5} \right)} + \pi$$
, donde n es cualquier número entero
Suma y producto de raíces
[src]
suma
pi + asin(1/5) - asin(1/5)
$$- \operatorname{asin}{\left(\frac{1}{5} \right)} + \left(\operatorname{asin}{\left(\frac{1}{5} \right)} + \pi\right)$$
=
pi
$$\pi$$
producto
(pi + asin(1/5))*(-asin(1/5))
$$\left(\operatorname{asin}{\left(\frac{1}{5} \right)} + \pi\right) \left(- \operatorname{asin}{\left(\frac{1}{5} \right)}\right)$$
=
-(pi + asin(1/5))*asin(1/5)
$$- \left(\operatorname{asin}{\left(\frac{1}{5} \right)} + \pi\right) \operatorname{asin}{\left(\frac{1}{5} \right)}$$
-(pi + asin(1/5))*asin(1/5)
Respuesta rápida
[src]
x1 = pi + asin(1/5)
$$x_{1} = \operatorname{asin}{\left(\frac{1}{5} \right)} + \pi$$
x2 = -asin(1/5)
$$x_{2} = - \operatorname{asin}{\left(\frac{1}{5} \right)}$$
x2 = -asin(1/5)
Respuesta numérica
[src]
x1 = -25.3340991495087
x2 = 37.4977539222872
x3 = -72.0552731117749
x4 = 87.7632363797239
x5 = -100.732322835664
x6 = 94.0464216869035
x7 = -44.1836550710474
x8 = 75.1968657653647
x9 = -97.1880143404933
x10 = -90.9048290333137
x11 = -63.0332109925862
x12 = 66.174803646176
x13 = 31.2145686151076
x14 = 3845.10805007312
x15 = -53.2057171902362
x16 = 12.3650126935688
x17 = 78.7411742605352
x18 = -84.6216437261341
x19 = 100.329606994083
x20 = 28.4756918030985
x21 = -81.882766914125
x22 = -37.9004697638678
x23 = 129.006656717972
x24 = -31.6172844566883
x25 = -50.466840378227
x26 = 172.988953868229
x27 = -56.7500256854066
x28 = 22.1925064959189
x29 = 72.4579889533556
x30 = -12.7677285351495
x31 = 81.4800510725443
x32 = 53.6084330318168
x33 = -0.201357920790331
x34 = 225.993313137675
x35 = 41.0420624174576
x36 = 6.08182738638926
x37 = -6.48454322796992
x38 = -94.4491375284841
x39 = -21.7897906543382
x40 = -65.7720878045953
x41 = 56.3473098438259
x42 = -40.639346575877
x43 = -279.400388248701
x44 = 47.3252477246372
x45 = -69.3163962997658
x46 = -107.015508142843
x47 = -28.0729759615178
x48 = 85.0243595677148
x49 = -46.9225318830566
x50 = -2.94023473279946
x51 = -9.22342003997905
x52 = 9845.55001842962
x53 = -15.5066053471586
x54 = 15.9093211887393
x55 = 18.6481980007484
x56 = 97.5907301820739
x57 = -34.3561612686974
x58 = 43.7809392294668
x59 = -75.5995816069454
x60 = 24.931383307928
x61 = 62.6304951510055
x62 = 3.34295057438012
x63 = 4024.58154716932
x64 = 34.7588771102781
x65 = 50.0641245366464
x66 = 9.62613588155971
x67 = -78.3384584189545
x68 = -59.4889024974157
x69 = 59.8916183389964
x70 = -88.1659522213045
x71 = 91.3075448748943
x72 = 68.9136804581851
x73 = -19.0509138423291
x73 = -19.0509138423291
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