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- La ecuación:
-
Ecuación 6*x^2+x-7=0
- Ecuación z^5+32=0
-
Ecuación 2-5(3+2x)=17
-
Ecuación (6*x+8)/2+5=5*x/3
- Expresar {x} en función de y en la ecuación:
- -9*x-12*y=-19
- -8*x+3*y=-4
- 10*x+3*y=2
- 16*x-17*y=-15
- Integral de d{x}:
- sin(x)
- Límite de la función:
-
sin(x)
- Forma canónica:
- sin(x)
-
Expresiones idénticas
- sin(x)=sqrt(tres)/(cuatro)
- seno de (x) es igual a raíz cuadrada de (3) dividir por (4)
- seno de (x) es igual a raíz cuadrada de (tres) dividir por (cuatro)
- sin(x)=√(3)/(4)
- sinx=sqrt3/4
- sin(x)=sqrt(3) dividir por (4)
-
Expresiones semejantes
- x-pi/2+sqrt(3)/4=0
- cos(x)=3*sqrt(3)/4
- z^3+((sqrt3)/4-(1*j)/4)=0
- z^3*(-sqrt(3)/4+1*1*j/4)=0
- √3sinx+cosx=2
- sinx=sqrt(3)/(4)
-
Expresiones con funciones
- Seno sin
- sin(x)-2*x-1=0
- sin(1/x)=yx
- sin(x)=0,9
- sin2x-3sinx-a=|sin2x+sinx+a|
- sin2x/9=0
- Raíz cuadrada sqrt
- sqrt(x^4−10x|x|+0.5/0.02)=4
- sqrt(x^2+15)=x+1
- sqrt(x)/sin(pi*x)=0
- sqrt(x)-sqrt(3)=5-x
- sqrt(1+1/(0.19*x)^2)*sqrt(1+1/(0.165*x)^2)=sqrt(2)
sin(x)=sqrt(3)/(4) la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Solución detallada
Tenemos la ecuación
$$\sin{\left(x \right)} = \frac{\sqrt{3}}{4}$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$x = 2 \pi n + \operatorname{asin}{\left(\frac{\sqrt{3}}{4} \right)}$$
$$x = 2 \pi n - \operatorname{asin}{\left(\frac{\sqrt{3}}{4} \right)} + \pi$$
O
$$x = 2 \pi n + \operatorname{asin}{\left(\frac{\sqrt{3}}{4} \right)}$$
$$x = 2 \pi n - \operatorname{asin}{\left(\frac{\sqrt{3}}{4} \right)} + \pi$$
, donde n es cualquier número entero
$$\sin{\left(x \right)} = \frac{\sqrt{3}}{4}$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$x = 2 \pi n + \operatorname{asin}{\left(\frac{\sqrt{3}}{4} \right)}$$
$$x = 2 \pi n - \operatorname{asin}{\left(\frac{\sqrt{3}}{4} \right)} + \pi$$
O
$$x = 2 \pi n + \operatorname{asin}{\left(\frac{\sqrt{3}}{4} \right)}$$
$$x = 2 \pi n - \operatorname{asin}{\left(\frac{\sqrt{3}}{4} \right)} + \pi$$
, donde n es cualquier número entero
Suma y producto de raíces
[src]
suma
/ ___\ / ___\
|\/ 3 | |\/ 3 |
pi - asin|-----| + asin|-----|
\ 4 / \ 4 /
$$\operatorname{asin}{\left(\frac{\sqrt{3}}{4} \right)} + \left(\pi - \operatorname{asin}{\left(\frac{\sqrt{3}}{4} \right)}\right)$$
=
pi
$$\pi$$
producto
/ / ___\\ / ___\ | |\/ 3 || |\/ 3 | |pi - asin|-----||*asin|-----| \ \ 4 // \ 4 /
$$\left(\pi - \operatorname{asin}{\left(\frac{\sqrt{3}}{4} \right)}\right) \operatorname{asin}{\left(\frac{\sqrt{3}}{4} \right)}$$
=
/ / ___\\ / ___\ | |\/ 3 || |\/ 3 | |pi - asin|-----||*asin|-----| \ \ 4 // \ 4 /
$$\left(\pi - \operatorname{asin}{\left(\frac{\sqrt{3}}{4} \right)}\right) \operatorname{asin}{\left(\frac{\sqrt{3}}{4} \right)}$$
(pi - asin(sqrt(3)/4))*asin(sqrt(3)/4)
Respuesta rápida
[src]
/ ___\
|\/ 3 |
x1 = pi - asin|-----|
\ 4 /
$$x_{1} = \pi - \operatorname{asin}{\left(\frac{\sqrt{3}}{4} \right)}$$
/ ___\
|\/ 3 |
x2 = asin|-----|
\ 4 /
$$x_{2} = \operatorname{asin}{\left(\frac{\sqrt{3}}{4} \right)}$$
x2 = asin(sqrt(3)/4)
Respuesta numérica
[src]
x1 = 65.5256133284567
x2 = 6.73101770410852
x3 = -97.8372046582125
x4 = -37.2512794461486
x5 = 100.978797311802
x6 = 82.1292413902636
x7 = -60.138092815135
x8 = -74.9503912892261
x9 = 94.6956120046227
x10 = -62.3840206748669
x11 = -93.7999472107649
x12 = -47.5717222007758
x13 = 63.2796854687248
x14 = 78.0919839428159
x15 = -43.5344647533282
x16 = 31.8637589328269
x17 = 25.5805736256473
x18 = -100.083132517944
x19 = 71.8087986356363
x20 = -351.410544805128
x21 = 50.7133148543656
x22 = 88.4124266974431
x23 = -53.8549075079554
x24 = 84.3751692499955
x25 = -85.2708340438534
x26 = -91.5540193510329
x27 = -78.9876487366738
x28 = -66.4212781223146
x29 = -22.4389809720575
x30 = -56.1008353676873
x31 = 56.9965001615452
x32 = -35.0053515864167
x33 = -18.4017235246098
x34 = 68181.5375284624
x35 = 34.1096867925588
x36 = 15.26013087102
x37 = -16.1557956648779
x38 = 75.846056083084
x39 = 96.9415398643547
x40 = -30.968094138969
x41 = 38.1469442400064
x42 = -49.8176500605078
x43 = 8.97694556384045
x44 = 59.2424280212771
x45 = 21.5433161781996
x46 = -9.87261035769831
x47 = -72.7044634294942
x48 = 40.3928720997384
x49 = -24.6849088317894
x50 = 46.676057406918
x51 = -87.5167619035853
x52 = 13.0142030112881
x53 = 0.447832396928933
x54 = 52.9592427140976
x55 = -41.2885368935962
x56 = 69.5628707759044
x57 = -68.6672059820465
x58 = -5.83535291025065
x59 = 19.2973883184677
x60 = -28.7221662792371
x61 = 2.69376025666086
x62 = 44.430129547186
x63 = 90.6583545571751
x64 = -81.2335765964057
x65 = -12.1185382174302
x66 = -3.58942505051873
x67 = 27.8265014853792
x67 = 27.8265014853792