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- La ecuación:
-
Ecuación tan(x)=0
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Ecuación cos(x)=-(1/2)
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Ecuación sin(x)=sqrt(2)/2
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Ecuación 5-2x=11-7(x+2)
- Expresar {x} en función de y en la ecuación:
- 10*x-1*y=10
- 4*x+3*y=-15
- 1*x-5*y=-17
- 17*x+14*y=-17
- Derivada de:
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sin(x)
- Límite de la función:
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sin(x)
- Forma canónica:
- sin(x)
-
Expresiones idénticas
- sin(x)=sqrt(dos)/ dos
- seno de (x) es igual a raíz cuadrada de (2) dividir por 2
- seno de (x) es igual a raíz cuadrada de (dos) dividir por dos
- sin(x)=√(2)/2
- sinx=sqrt2/2
- sin(x)=sqrt(2) dividir por 2
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Expresiones semejantes
- sin(x^2)^3-(4/5)*tan(2*x)^4+|x^3-3*x^2-4|-3*(2*x+cos(x)^2)^(1/3)/(2*x)=0
- cos(x)=-(sqrt(2))/2
- sinx=x
- 7asinx+2acosx=asinx
- sinx=sqrt(2)/2
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Expresiones con funciones
- Seno sin
- sin(z)=3
- sinx=x
- sin6x+√3cos6x=-2cos8x.
- sin(x^2)^3-(4/5)*tan(2*x)^4+|x^3-3*x^2-4|-3*(2*x+cos(x)^2)^(1/3)/(2*x)=0
- sin(3*x-pi/6)=(-sqrt(3))/2
- Raíz cuadrada sqrt
- sqrt(-a^7)×sqrt(-a^5)
- sqrt(3x+7)=x-7
- sqrt(3-sqrt(7))^2+sqrt(2-sqrt(7))^2+4=x
- sqrt(4x-1)=y
- sqrt(x^2-64)+sqrt(x^2-36)=28/(x-8)
sin(x)=sqrt(2)/2 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Solución detallada
Tenemos la ecuación
$$\sin{\left(x \right)} = \frac{\sqrt{2}}{2}$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$x = 2 \pi n + \operatorname{asin}{\left(\frac{\sqrt{2}}{2} \right)}$$
$$x = 2 \pi n - \operatorname{asin}{\left(\frac{\sqrt{2}}{2} \right)} + \pi$$
O
$$x = 2 \pi n + \frac{\pi}{4}$$
$$x = 2 \pi n + \frac{3 \pi}{4}$$
, donde n es cualquier número entero
$$\sin{\left(x \right)} = \frac{\sqrt{2}}{2}$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$x = 2 \pi n + \operatorname{asin}{\left(\frac{\sqrt{2}}{2} \right)}$$
$$x = 2 \pi n - \operatorname{asin}{\left(\frac{\sqrt{2}}{2} \right)} + \pi$$
O
$$x = 2 \pi n + \frac{\pi}{4}$$
$$x = 2 \pi n + \frac{3 \pi}{4}$$
, donde n es cualquier número entero
Respuesta rápida
[src]
pi
x1 = --
4
$$x_{1} = \frac{\pi}{4}$$
3*pi
x2 = ----
4
$$x_{2} = \frac{3 \pi}{4}$$
x2 = 3*pi/4
Suma y producto de raíces
[src]
suma
pi 3*pi -- + ---- 4 4
$$\frac{\pi}{4} + \frac{3 \pi}{4}$$
=
pi
$$\pi$$
producto
pi 3*pi --*---- 4 4
$$\frac{\pi}{4} \frac{3 \pi}{4}$$
=
2 3*pi ----- 16
$$\frac{3 \pi^{2}}{16}$$
3*pi^2/16
Respuesta numérica
[src]
x1 = 21.2057504117311
x2 = 0.785398163397448
x3 = 40.0553063332699
x4 = 95.0331777710912
x5 = 2.35619449019234
x6 = -17680.09805624
x7 = 88.7499924639117
x8 = -30.6305283725005
x9 = -93.4623814442964
x10 = 65.1880475619882
x11 = -55.7632696012188
x12 = -3.92699081698724
x13 = -16.4933614313464
x14 = -43.1968989868597
x15 = -1160.03308733803
x16 = 2151.20556954561
x17 = -5.49778714378214
x18 = 128.019900633784
x19 = 71.4712328691678
x20 = -73.0420291959627
x21 = 8.63937979737193
x22 = 7.06858347057703
x23 = -74.6128255227576
x24 = -85.6083998103219
x25 = 33.7721210260903
x26 = -98.174770424681
x27 = -54.1924732744239
x28 = 44.7676953136546
x29 = -49.4800842940392
x30 = -118.595122673015
x31 = -62.0464549083984
x32 = 77.7544181763474
x33 = -22.776546738526
x34 = -79.3252145031423
x35 = -68.329640215578
x36 = -237.975643509427
x37 = 57.3340659280137
x38 = 25.9181393921158
x39 = 38.484510006475
x40 = 84.037603483527
x41 = -47.9092879672443
x42 = -29.0597320457056
x43 = 14.9225651045515
x44 = -60.4756585816035
x45 = -41.6261026600648
x46 = 96.6039740978861
x47 = -24.3473430653209
x48 = -18.0641577581413
x49 = 19.6349540849362
x50 = -91.8915851175014
x51 = 2476.36040919215
x52 = -80.8960108299372
x53 = 69.9004365423729
x54 = -66.7588438887831
x55 = 13.3517687777566
x56 = 52.621676947629
x57 = -36.9137136796801
x58 = -99.7455667514759
x59 = 32.2013246992954
x60 = -186.139364725195
x61 = -35.3429173528852
x62 = 46.3384916404494
x63 = 76.1836218495525
x64 = -87.1791961371168
x65 = 90.3207887907066
x66 = 82.4668071567321
x67 = -10.2101761241668
x68 = -11.7809724509617
x69 = 101.316363078271
x70 = 6964.12551484517
x71 = 51.0508806208341
x72 = 63.6172512351933
x73 = 27.4889357189107
x74 = 58.9048622548086
x74 = 58.9048622548086
Gráfico