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- La ecuación:
-
Ecuación 6*x^2+x-7=0
-
Ecuación 2-5(3+2x)=17
-
Ecuación (6*x+8)/2+5=5*x/3
-
Ecuación x^2-11*x+10=0
- Expresar {x} en función de y en la ecuación:
- -9*x-12*y=-19
- -8*x+3*y=-4
- 10*x+3*y=2
- -10*x-12*y=-10
- Integral de d{x}:
- sin(x)
- Límite de la función:
-
sin(x)
- Forma canónica:
- sin(x)
-
Expresiones idénticas
- sin(x)=-(uno /√ tres)
- seno de (x) es igual a menos (1 dividir por √3)
- seno de (x) es igual a menos (uno dividir por √ tres)
- sinx=-1/√3
- sin(x)=-(1 dividir por √3)
-
Expresiones semejantes
- sin(x)=+(1/√3)
- √3sinx+cosx=2
- 15cos^2x-3sinx=0
- sinx=-(1/√3)
-
Expresiones con funciones
- Seno sin
- sin(1)/((3*x))=-1
- sin(x)-2=0
- sin(10x-1)=sin(3+x)
- sin(x)=0.07974
- sin(x)*(-sin(x))=0
sin(x)=-(1/√3) la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Solución detallada
Tenemos la ecuación
$$\sin{\left(x \right)} = - \frac{1}{\sqrt{3}}$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$x = 2 \pi n + \operatorname{asin}{\left(- \frac{\sqrt{3}}{3} \right)}$$
$$x = 2 \pi n - \operatorname{asin}{\left(- \frac{\sqrt{3}}{3} \right)} + \pi$$
O
$$x = 2 \pi n - \operatorname{asin}{\left(\frac{\sqrt{3}}{3} \right)}$$
$$x = 2 \pi n + \operatorname{asin}{\left(\frac{\sqrt{3}}{3} \right)} + \pi$$
, donde n es cualquier número entero
$$\sin{\left(x \right)} = - \frac{1}{\sqrt{3}}$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$x = 2 \pi n + \operatorname{asin}{\left(- \frac{\sqrt{3}}{3} \right)}$$
$$x = 2 \pi n - \operatorname{asin}{\left(- \frac{\sqrt{3}}{3} \right)} + \pi$$
O
$$x = 2 \pi n - \operatorname{asin}{\left(\frac{\sqrt{3}}{3} \right)}$$
$$x = 2 \pi n + \operatorname{asin}{\left(\frac{\sqrt{3}}{3} \right)} + \pi$$
, donde n es cualquier número entero
Respuesta rápida
[src]
/ ___\
|\/ 3 |
x1 = pi + asin|-----|
\ 3 /
$$x_{1} = \operatorname{asin}{\left(\frac{\sqrt{3}}{3} \right)} + \pi$$
/ ___\
|\/ 3 |
x2 = -asin|-----|
\ 3 /
$$x_{2} = - \operatorname{asin}{\left(\frac{\sqrt{3}}{3} \right)}$$
x2 = -asin(sqrt(3)/3)
Suma y producto de raíces
[src]
suma
/ ___\ / ___\
|\/ 3 | |\/ 3 |
pi + asin|-----| - asin|-----|
\ 3 / \ 3 /
$$- \operatorname{asin}{\left(\frac{\sqrt{3}}{3} \right)} + \left(\operatorname{asin}{\left(\frac{\sqrt{3}}{3} \right)} + \pi\right)$$
=
pi
$$\pi$$
producto
/ / ___\\ / / ___\\ | |\/ 3 || | |\/ 3 || |pi + asin|-----||*|-asin|-----|| \ \ 3 // \ \ 3 //
$$\left(\operatorname{asin}{\left(\frac{\sqrt{3}}{3} \right)} + \pi\right) \left(- \operatorname{asin}{\left(\frac{\sqrt{3}}{3} \right)}\right)$$
=
/ / ___\\ / ___\ | |\/ 3 || |\/ 3 | -|pi + asin|-----||*asin|-----| \ \ 3 // \ 3 /
$$- \left(\operatorname{asin}{\left(\frac{\sqrt{3}}{3} \right)} + \pi\right) \operatorname{asin}{\left(\frac{\sqrt{3}}{3} \right)}$$
-(pi + asin(sqrt(3)/3))*asin(sqrt(3)/3)
Respuesta numérica
[src]
x1 = -50.8809621661071
x2 = 18.2340762128684
x3 = 3.75707236226018
x4 = 49.6500027487663
x5 = -90.4907072454336
x6 = 99.915485206203
x7 = -25.7482209373887
x8 = 68.4995586703051
x9 = -15.0924835592786
x10 = -32.0314062445683
x11 = -260.136710539282
x12 = 37.0836321344071
x13 = -38.3145915517479
x14 = 91.7216666627744
x15 = 54.0225548196969
x16 = -21.3756688664582
x17 = 35.1729988981581
x18 = 55.9331880559459
x19 = 1142.92424619801
x20 = -0.615479708670387
x21 = -82.296888702005
x22 = -1049.90742600766
x23 = -6.89866501584997
x24 = -65.3579660167153
x25 = -63.4473327804663
x26 = -19.4650356302091
x27 = -27.6588541736378
x28 = 47.7393695125173
x29 = -2.52611294491941
x30 = -44.5977768589275
x31 = 66.5889254340561
x32 = -71.6411513238949
x33 = -84.207521938254
x34 = 98.004851969954
x35 = 81.0659292846642
x36 = -57.1641474732867
x37 = 28.8898135909785
x38 = 72.8721107412356
x39 = 30.8004468272275
x40 = -96.7738925526132
x41 = -103.057077859793
x42 = -76.0137033948254
x43 = 41.4561842053377
x44 = -46.5084100951765
x45 = -52.7915954023561
x46 = -59.0747807095357
x47 = 85.4384813555948
x48 = -40.2252247879969
x49 = -8.80929825209899
x50 = 62.2163733631255
x51 = 11.9508909056888
x52 = -69.7305180876458
x53 = 10.0402576694398
x54 = 5.6677055985092
x55 = -9877.78278259498
x56 = 74.7827439774847
x57 = 87.3491145918438
x58 = 93.6322998990234
x59 = -119.996000545083
x60 = -13.1818503230296
x61 = -94.8632593163642
x62 = 173.403075656109
x63 = 22.6066282837989
x64 = -77.9243366310744
x65 = -1583.97817711793
x66 = -101.146444623544
x67 = -33.9420394808173
x68 = 24.517261520048
x69 = 16.3234429766194
x70 = -88.5800740091846
x71 = 79.1552960484152
x72 = 43.3668174415867
x73 = 60.3057401268765
x73 = 60.3057401268765