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- La ecuación:
-
Ecuación 3^x=7
-
Ecuación 2+3x=-7x-5
-
Ecuación 3-x/3=x/2
-
Ecuación 3/(x-5)+8/x=2
- Expresar {x} en función de y en la ecuación:
- -11*x-3*y=14
- -20*x-6*y=4
- 2*x-15*y=-1
- 8*x+3*y=4
- Integral de d{x}:
- sin(x)
- Derivada de:
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sin(x)
- Límite de la función:
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sin(x)
-
Expresiones idénticas
- sin(x)= uno /(sqrt(tres))
- seno de (x) es igual a 1 dividir por ( raíz cuadrada de (3))
- seno de (x) es igual a uno dividir por ( raíz cuadrada de (tres))
- sin(x)=1/(√(3))
- sinx=1/sqrt3
- sin(x)=1 dividir por (sqrt(3))
-
Expresiones semejantes
- 1-cos(x)=sin(x/2)
- tan(pi*x-6/6)=1/sqrt(3)
- 0=(1)/(sqrt(3))*atan((x)/(sqrt(3)))
- sinx=1/(sqrt(3))
-
Expresiones con funciones
- Seno sin
- sin(2x)=0
- sin(x)^2=1/2
- sin(3*x)+sin(x)=0
- sin(x)=1/2
- sin((pi*x)/4)=-1
- Raíz cuadrada sqrt
- sqrt(x-2)+sqrt(y-2)=2
- sqrt(x)=-2
- sqrt(56-x)=-x
- sqrt(x-3)=2
- sqrt(2)*cos(x/2+3)+1=0
sin(x)=1/(sqrt(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 /
$$x_{1} = \pi - \operatorname{asin}{\left(\frac{\sqrt{3}}{3} \right)}$$
/ ___\
|\/ 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 /
$$\operatorname{asin}{\left(\frac{\sqrt{3}}{3} \right)} + \left(\pi - \operatorname{asin}{\left(\frac{\sqrt{3}}{3} \right)}\right)$$
=
pi
$$\pi$$
producto
/ / ___\\ / ___\ | |\/ 3 || |\/ 3 | |pi - asin|-----||*asin|-----| \ \ 3 // \ 3 /
$$\left(\pi - \operatorname{asin}{\left(\frac{\sqrt{3}}{3} \right)}\right) \operatorname{asin}{\left(\frac{\sqrt{3}}{3} \right)}$$
=
/ / ___\\ / ___\ | |\/ 3 || |\/ 3 | |pi - asin|-----||*asin|-----| \ \ 3 // \ 3 /
$$\left(\pi - \operatorname{asin}{\left(\frac{\sqrt{3}}{3} \right)}\right) \operatorname{asin}{\left(\frac{\sqrt{3}}{3} \right)}$$
(pi - asin(sqrt(3)/3))*asin(sqrt(3)/3)
Respuesta numérica
[src]
x1 = -85.4384813555948
x2 = -571.154383244672
x3 = -18344.3749840195
x4 = 113.712815237903
x5 = 90.4907072454336
x6 = -55.9331880559459
x7 = 25.7482209373887
x8 = 15.0924835592786
x9 = 27.6588541736378
x10 = -68.4995586703051
x11 = -93.6322998990234
x12 = -81.0659292846642
x13 = 82.296888702005
x14 = -47.7393695125173
x15 = -60.3057401268765
x16 = 21.3756688664582
x17 = 38.3145915517479
x18 = -185.969446270468
x19 = 69.7305180876458
x20 = 44.5977768589275
x21 = 32.0314062445683
x22 = -66.5889254340561
x23 = -41.4561842053377
x24 = 8.80929825209899
x25 = -35.1729988981581
x26 = 88.5800740091846
x27 = -99.915485206203
x28 = 33.9420394808173
x29 = -72.8721107412356
x30 = -28.8898135909785
x31 = -37.0836321344071
x32 = 65.3579660167153
x33 = 77.9243366310744
x34 = 402.739339368164
x35 = 63.4473327804663
x36 = -5.6677055985092
x37 = -451.77386240826
x38 = 52.7915954023561
x39 = -16.3234429766194
x40 = -74.7827439774847
x41 = -43.3668174415867
x42 = 40.2252247879969
x43 = 59.0747807095357
x44 = -79.1552960484152
x45 = -62.2163733631255
x46 = -87.3491145918438
x47 = -22.6066282837989
x48 = 84.207521938254
x49 = -91.7216666627744
x50 = 101.146444623544
x51 = 57.1641474732867
x52 = -10.0402576694398
x53 = 2.52611294491941
x54 = 19.4650356302091
x55 = -30.8004468272275
x56 = 50.8809621661071
x57 = 71.6411513238949
x58 = -948.145501675447
x59 = 46.5084100951765
x60 = -707.473826766374
x61 = -18.2340762128684
x62 = 13.1818503230296
x63 = -11.9508909056888
x64 = 6.89866501584997
x65 = 96.7738925526132
x66 = -54.0225548196969
x67 = 94.8632593163642
x68 = -98.004851969954
x69 = -24.517261520048
x70 = 76.0137033948254
x71 = 0.615479708670387
x72 = -49.6500027487663
x73 = -3.75707236226018
x73 = -3.75707236226018