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- La ecuación:
-
Ecuación (x-3)*(x+2)=0
-
Ecuación (11x+14)-(5x-8)=25
-
Ecuación z^2-6*z+10=0
-
Ecuación 4/(x-4)=-5
- Expresar {x} en función de y en la ecuación:
- -7*x-13*y=5
- 15*x+1*y=19
- 7*x-1*y=-7
- -11*x-14*y=-3
- Límite de la función:
-
sin(x)
- Integral de d{x}:
- sin(x)
- Forma canónica:
- sin(x)
-
Expresiones idénticas
- sin(x)=(- uno)/sqrt(dos)
- seno de (x) es igual a ( menos 1) dividir por raíz cuadrada de (2)
- seno de (x) es igual a ( menos uno) dividir por raíz cuadrada de (dos)
- sin(x)=(-1)/√(2)
- sinx=-1/sqrt2
- sin(x)=(-1) dividir por sqrt(2)
-
Expresiones semejantes
- 4*(((1/sqrt(2))*x-(1/sqrt(2))*y)-2*sqrt(2))^2-2*(((1/sqrt(2))*x+(1/sqrt(2))*y)-sqrt(2))=0
- (arctan(sqrt(2)tan(x)+1)+arctan(sqrt(2)tan(x)-1))/sqrt(2)-1/(sqrt(2))arctan(tan(2x)/sqrt(2))=0
- sin(x)=(1)/sqrt(2)
- (2^x^2-1)/(sqrt(2+x)-2)=0
- sinx=(-1)/sqrt(2)
-
Expresiones con funciones
- Seno sin
- sin(x)=-5/2
- sin((pi*x)/4)=1
- sin(2*x)-sin(x)=0
- sin(5*x)-cos(4*x)=0
- sin(2*x+pi/2)=0
- Raíz cuadrada sqrt
- sqrt(x)=1
- sqrt(x-2)+sqrt(y-2)=2
- sqrt(x^2+9)=2*x-3
- sqrt(x)=-2
- sqrt(2-x)+sqrt(-x-1)=sqrt(-5*x-7)
sin(x)=(-1)/sqrt(2) la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Solución detallada
Tenemos la ecuación
$$\sin{\left(x \right)} = - \frac{1}{\sqrt{2}}$$
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
$$x = 2 \pi n - \frac{\pi}{4}$$
$$x = 2 \pi n + \frac{5 \pi}{4}$$
, donde n es cualquier número entero
$$\sin{\left(x \right)} = - \frac{1}{\sqrt{2}}$$
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
$$x = 2 \pi n - \frac{\pi}{4}$$
$$x = 2 \pi n + \frac{5 \pi}{4}$$
, donde n es cualquier número entero
Suma y producto de raíces
[src]
suma
pi 5*pi - -- + ---- 4 4
$$- \frac{\pi}{4} + \frac{5 \pi}{4}$$
=
pi
$$\pi$$
producto
-pi 5*pi ----*---- 4 4
$$- \frac{\pi}{4} \frac{5 \pi}{4}$$
=
2 -5*pi ------ 16
$$- \frac{5 \pi^{2}}{16}$$
-5*pi^2/16
Respuesta rápida
[src]
-pi
x1 = ----
4
$$x_{1} = - \frac{\pi}{4}$$
5*pi
x2 = ----
4
$$x_{2} = \frac{5 \pi}{4}$$
x2 = 5*pi/4
Respuesta numérica
[src]
x1 = -128.019900633784
x2 = 35.3429173528852
x3 = -14.9225651045515
x4 = 29.0597320457056
x5 = 49.4800842940392
x6 = -0.785398163397448
x7 = -830.165858711103
x8 = 74.6128255227576
x9 = 85.6083998103219
x10 = 43.1968989868597
x11 = 66.7588438887831
x12 = -2865.91789823729
x13 = -8.63937979737193
x14 = -82.4668071567321
x15 = -88.7499924639117
x16 = -71.4712328691678
x17 = -13.3517687777566
x18 = -32.2013246992954
x19 = 22.776546738526
x20 = -44.7676953136546
x21 = -46.3384916404494
x22 = 99.7455667514759
x23 = 62.0464549083984
x24 = 79.3252145031423
x25 = 87.1791961371168
x26 = -57.3340659280137
x27 = 73.0420291959627
x28 = -76.1836218495525
x29 = -215482.625507887
x30 = -27.4889357189107
x31 = -96.6039740978861
x32 = 93.4623814442964
x33 = 80.8960108299372
x34 = -101.316363078271
x35 = 30.6305283725005
x36 = -52.621676947629
x37 = -38.484510006475
x38 = -21.2057504117311
x39 = -84.037603483527
x40 = 98.174770424681
x41 = -704.502152567511
x42 = -69.9004365423729
x43 = 91.8915851175014
x44 = -65.1880475619882
x45 = -63.6172512351933
x46 = 68.329640215578
x47 = 10.2101761241668
x48 = -77.7544181763474
x49 = -25.9181393921158
x50 = 41.6261026600648
x51 = 60.4756585816035
x52 = 5.49778714378214
x53 = 18.0641577581413
x54 = -40.0553063332699
x55 = -19.6349540849362
x56 = -58.9048622548086
x57 = -2.35619449019234
x58 = 54.1924732744239
x59 = 3.92699081698724
x60 = 652.665873783279
x61 = -7.06858347057703
x62 = -51.0508806208341
x63 = 24.3473430653209
x64 = -90.3207887907066
x65 = -33.7721210260903
x66 = 55.7632696012188
x67 = -371.493331286993
x68 = 11.7809724509617
x69 = -95.0331777710912
x70 = 36.9137136796801
x71 = 47.9092879672443
x72 = 16.4933614313464
x72 = 16.4933614313464
Gráfico