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- La ecuación:
-
Ecuación (x-4)^2+(x+9)^2=2*x^2
-
Ecuación sqrt(x-1)=x
-
Ecuación cos(x/2)=0
-
Ecuación 7x^2-21=0
- Expresar {x} en función de y en la ecuación:
- 17*x-18*y=10
- 18*x+19*y=7
- 15*x-3*y=-8
- 9*x-4*y=2
- Suma de la serie:
- sinx
- Derivada de:
-
sinx
- Gráfico de la función y =:
-
sinx
-
Expresiones idénticas
- sinx= uno : dos
- seno de x es igual a 1:2
- seno de x es igual a uno : dos
-
Expresiones semejantes
- (3x-1):2=2(x+2):3
- cos(x/3)*cos(Pi/6)+sin(x/3)*sin(Pi/6)=-1
- (3x+11):2-(2x+7):3=4x
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Expresiones con funciones
- sinx
- sinx=5/8
- sinx-cosx=0
- sinx-cosx=1/2
- sinx=-√2
- sinx+(cosx/2-sinx/2)(cox/2+sinx/2)=0
sinx=1:2 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Solución detallada
Tenemos la ecuación
$$\sin{\left(x \right)} = \frac{1}{2}$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$x = 2 \pi n + \operatorname{asin}{\left(\frac{1}{2} \right)}$$
$$x = 2 \pi n - \operatorname{asin}{\left(\frac{1}{2} \right)} + \pi$$
O
$$x = 2 \pi n + \frac{\pi}{6}$$
$$x = 2 \pi n + \frac{5 \pi}{6}$$
, donde n es cualquier número entero
$$\sin{\left(x \right)} = \frac{1}{2}$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$x = 2 \pi n + \operatorname{asin}{\left(\frac{1}{2} \right)}$$
$$x = 2 \pi n - \operatorname{asin}{\left(\frac{1}{2} \right)} + \pi$$
O
$$x = 2 \pi n + \frac{\pi}{6}$$
$$x = 2 \pi n + \frac{5 \pi}{6}$$
, donde n es cualquier número entero
Suma y producto de raíces
[src]
suma
pi 5*pi -- + ---- 6 6
$$\frac{\pi}{6} + \frac{5 \pi}{6}$$
=
pi
$$\pi$$
producto
pi 5*pi --*---- 6 6
$$\frac{\pi}{6} \frac{5 \pi}{6}$$
=
2 5*pi ----- 36
$$\frac{5 \pi^{2}}{36}$$
5*pi^2/36
Respuesta rápida
[src]
pi
x1 = --
6
$$x_{1} = \frac{\pi}{6}$$
5*pi
x2 = ----
6
$$x_{2} = \frac{5 \pi}{6}$$
x2 = 5*pi/6
Respuesta numérica
[src]
x1 = -47.6474885794452
x2 = 21.4675497995303
x3 = -93.7241808320955
x4 = 69.6386371545737
x5 = 52.8834763354282
x6 = -79.0634151153431
x7 = -66.497044500984
x8 = -72.7802298081635
x9 = 15.1843644923507
x10 = -30.8923277602996
x11 = 57.0722665402146
x12 = 101.054563690472
x13 = -24.60914245312
x14 = -74.8746249105567
x15 = 84.2994028713261
x16 = 63.3554518473942
x17 = 90.5825881785057
x18 = 78.0162175641465
x19 = 2.61799387799149
x20 = -41.3643032722656
x21 = -43.4586983746588
x22 = -37.1755130674792
x23 = 134.564885328763
x24 = 138.753675533549
x25 = -22.5147473507269
x26 = 0.523598775598299
x27 = 96.8657734856853
x28 = 38.2227106186758
x29 = -68.5914396033772
x30 = 44.5058959258554
x31 = -60.2138591938044
x32 = 94.7713783832921
x33 = -53.9306738866248
x34 = 50.789081233035
x35 = 27.7507351067098
x36 = -5.75958653158129
x37 = -87.4409955249159
x38 = 65.4498469497874
x39 = -16.2315620435473
x40 = -56.025068989018
x41 = 19.3731546971371
x42 = 13.0899693899575
x43 = -9.94837673636768
x44 = -12.0427718387609
x45 = -3.66519142918809
x46 = 6.80678408277789
x47 = -81.1578102177363
x48 = -97.9129710368819
x49 = -28.7979326579064
x50 = 88.4881930761125
x51 = -18.3259571459405
x52 = 31.9395253114962
x53 = 46.6002910282486
x54 = 40.317105721069
x55 = -627.79493194236
x56 = 59.1666616426078
x57 = 82.2050077689329
x58 = 8.90117918517108
x59 = 75.9218224617533
x60 = -91.6297857297023
x61 = 34.0339204138894
x62 = 71.733032256967
x63 = 17438.4572213013
x64 = -100.007366139275
x65 = -85.3466004225227
x66 = -2650.98060085419
x67 = -62.3082542961976
x68 = -49.7418836818384
x69 = 25.6563400043166
x70 = -35.081117965086
x71 = -4454.25478401473
x71 = -4454.25478401473