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- La ecuación:
-
Ecuación (x-3)*(x+2)=0
-
Ecuación z^2-6*z+10=0
-
Ecuación 4/(x-4)=-5
-
Ecuación (x-6)^2=-24*x
- Expresar {x} en función de y en la ecuación:
- -7*x-13*y=5
- 15*x+1*y=19
- 7*x-1*y=-7
- -14*x-12*y=5
- Gráfico de la función y =:
-
sinx
- Suma de la serie:
- sinx
- Integral de d{x}:
- sinx
-
Expresiones idénticas
- sinx=(tres -i)/ cuatro
- seno de x es igual a (3 menos i) dividir por 4
- seno de x es igual a (tres menos i) dividir por cuatro
- sinx=3-i/4
- sinx=(3-i) dividir por 4
-
Expresiones semejantes
- sin(x)=-5/2
- -sin(x)=0
- (2*sin(x)-1)*(sqrt(-cos(x))+1)=0
- sinx=(3+i)/4
- 2*sin(x)/2=1-cos(x)
- sin(x)=(-1)/sqrt(2)
-
Expresiones con funciones
- sinx
- sinx
- sinx=1/3
- sinx+cosx/sinx=2cotx
- sinx/4=-sqrt2/2
- sinxcosx=0,25
sinx=(3-i)/4 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Solución detallada
Tenemos la ecuación
$$\sin{\left(x \right)} = \frac{3 - i}{4}$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$x = 2 \pi n + \operatorname{asin}{\left(\frac{3}{4} - \frac{i}{4} \right)}$$
$$x = 2 \pi n + \pi - \operatorname{asin}{\left(\frac{3}{4} - \frac{i}{4} \right)}$$
O
$$x = 2 \pi n + \operatorname{asin}{\left(\frac{3}{4} - \frac{i}{4} \right)}$$
$$x = 2 \pi n + \pi - \operatorname{asin}{\left(\frac{3}{4} - \frac{i}{4} \right)}$$
, donde n es cualquier número entero
$$\sin{\left(x \right)} = \frac{3 - i}{4}$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$x = 2 \pi n + \operatorname{asin}{\left(\frac{3}{4} - \frac{i}{4} \right)}$$
$$x = 2 \pi n + \pi - \operatorname{asin}{\left(\frac{3}{4} - \frac{i}{4} \right)}$$
O
$$x = 2 \pi n + \operatorname{asin}{\left(\frac{3}{4} - \frac{i}{4} \right)}$$
$$x = 2 \pi n + \pi - \operatorname{asin}{\left(\frac{3}{4} - \frac{i}{4} \right)}$$
, donde n es cualquier número entero
Gráfica
Suma y producto de raíces
[src]
suma
/ /3 I\\ / /3 I\\ / /3 I\\ / /3 I\\
pi - re|asin|- - -|| - I*im|asin|- - -|| + I*im|asin|- - -|| + re|asin|- - -||
\ \4 4// \ \4 4// \ \4 4// \ \4 4//
$$\left(\operatorname{re}{\left(\operatorname{asin}{\left(\frac{3}{4} - \frac{i}{4} \right)}\right)} + i \operatorname{im}{\left(\operatorname{asin}{\left(\frac{3}{4} - \frac{i}{4} \right)}\right)}\right) + \left(- \operatorname{re}{\left(\operatorname{asin}{\left(\frac{3}{4} - \frac{i}{4} \right)}\right)} + \pi - i \operatorname{im}{\left(\operatorname{asin}{\left(\frac{3}{4} - \frac{i}{4} \right)}\right)}\right)$$
=
pi
$$\pi$$
producto
/ / /3 I\\ / /3 I\\\ / / /3 I\\ / /3 I\\\ |pi - re|asin|- - -|| - I*im|asin|- - -|||*|I*im|asin|- - -|| + re|asin|- - -||| \ \ \4 4// \ \4 4/// \ \ \4 4// \ \4 4///
$$\left(\operatorname{re}{\left(\operatorname{asin}{\left(\frac{3}{4} - \frac{i}{4} \right)}\right)} + i \operatorname{im}{\left(\operatorname{asin}{\left(\frac{3}{4} - \frac{i}{4} \right)}\right)}\right) \left(- \operatorname{re}{\left(\operatorname{asin}{\left(\frac{3}{4} - \frac{i}{4} \right)}\right)} + \pi - i \operatorname{im}{\left(\operatorname{asin}{\left(\frac{3}{4} - \frac{i}{4} \right)}\right)}\right)$$
=
/ / /3 I\\ / /3 I\\\ / / /3 I\\ / /3 I\\\ -|I*im|asin|- - -|| + re|asin|- - -|||*|-pi + I*im|asin|- - -|| + re|asin|- - -||| \ \ \4 4// \ \4 4/// \ \ \4 4// \ \4 4///
$$- \left(\operatorname{re}{\left(\operatorname{asin}{\left(\frac{3}{4} - \frac{i}{4} \right)}\right)} + i \operatorname{im}{\left(\operatorname{asin}{\left(\frac{3}{4} - \frac{i}{4} \right)}\right)}\right) \left(- \pi + \operatorname{re}{\left(\operatorname{asin}{\left(\frac{3}{4} - \frac{i}{4} \right)}\right)} + i \operatorname{im}{\left(\operatorname{asin}{\left(\frac{3}{4} - \frac{i}{4} \right)}\right)}\right)$$
-(i*im(asin(3/4 - i/4)) + re(asin(3/4 - i/4)))*(-pi + i*im(asin(3/4 - i/4)) + re(asin(3/4 - i/4)))
Respuesta rápida
[src]
/ /3 I\\ / /3 I\\
x1 = pi - re|asin|- - -|| - I*im|asin|- - -||
\ \4 4// \ \4 4//
$$x_{1} = - \operatorname{re}{\left(\operatorname{asin}{\left(\frac{3}{4} - \frac{i}{4} \right)}\right)} + \pi - i \operatorname{im}{\left(\operatorname{asin}{\left(\frac{3}{4} - \frac{i}{4} \right)}\right)}$$
/ /3 I\\ / /3 I\\
x2 = I*im|asin|- - -|| + re|asin|- - -||
\ \4 4// \ \4 4//
$$x_{2} = \operatorname{re}{\left(\operatorname{asin}{\left(\frac{3}{4} - \frac{i}{4} \right)}\right)} + i \operatorname{im}{\left(\operatorname{asin}{\left(\frac{3}{4} - \frac{i}{4} \right)}\right)}$$
x2 = re(asin(3/4 - i/4)) + i*im(asin(3/4 - i/4))
Respuesta numérica
[src]
x1 = 25.9181393921158 - 0.346573590279973*i
x2 = 65.1880475619882 + 0.346573590279973*i
x3 = 27.4889357189107 + 0.346573590279973*i
x4 = -5.49778714378214 - 0.346573590279973*i
x5 = -93.4623814442964 - 0.346573590279973*i
x6 = 58.9048622548086 + 0.346573590279973*i
x7 = -99.7455667514759 - 0.346573590279973*i
x8 = -55.7632696012188 - 0.346573590279973*i
x9 = -16.4933614313464 + 0.346573590279973*i
x10 = 95.0331777710912 - 0.346573590279973*i
x11 = -10.2101761241668 + 0.346573590279973*i
x12 = -22.776546738526 + 0.346573590279973*i
x13 = -79.3252145031423 + 0.346573590279973*i
x14 = 63.6172512351933 - 0.346573590279973*i
x15 = 32.2013246992954 - 0.346573590279973*i
x16 = -29.0597320457056 + 0.346573590279973*i
x17 = 101.316363078271 - 0.346573590279973*i
x18 = -62.0464549083984 - 0.346573590279973*i
x19 = -30.6305283725005 - 0.346573590279973*i
x20 = -35.3429173528852 + 0.346573590279973*i
x21 = -85.6083998103219 + 0.346573590279973*i
x22 = 21.2057504117311 + 0.346573590279973*i
x23 = 14.9225651045515 + 0.346573590279973*i
x24 = 19.6349540849362 - 0.346573590279973*i
x25 = 90.3207887907066 + 0.346573590279973*i
x26 = 7.06858347057703 - 0.346573590279973*i
x27 = -43.1968989868597 - 0.346573590279973*i
x28 = -68.329640215578 - 0.346573590279973*i
x29 = -18.0641577581413 - 0.346573590279973*i
x30 = -54.1924732744239 + 0.346573590279973*i
x31 = -74.6128255227576 - 0.346573590279973*i
x32 = 2.35619449019234 + 0.346573590279973*i
x33 = -47.9092879672443 + 0.346573590279973*i
x34 = 33.7721210260903 + 0.346573590279973*i
x35 = 82.4668071567321 - 0.346573590279973*i
x36 = 44.7676953136546 - 0.346573590279973*i
x37 = -73.0420291959627 + 0.346573590279973*i
x38 = -80.8960108299372 - 0.346573590279973*i
x39 = 84.037603483527 + 0.346573590279973*i
x40 = -24.3473430653209 - 0.346573590279973*i
x41 = 52.621676947629 + 0.346573590279973*i
x42 = 71.4712328691678 + 0.346573590279973*i
x43 = 51.0508806208341 - 0.346573590279973*i
x44 = -60.4756585816035 + 0.346573590279973*i
x45 = 88.7499924639117 - 0.346573590279973*i
x46 = 0.785398163397448 - 0.346573590279973*i
x47 = -41.6261026600648 + 0.346573590279973*i
x48 = -98.174770424681 + 0.346573590279973*i
x49 = 69.9004365423729 - 0.346573590279973*i
x50 = 8.63937979737193 + 0.346573590279973*i
x51 = 38.484510006475 - 0.346573590279973*i
x52 = -49.4800842940392 - 0.346573590279973*i
x53 = 13.3517687777566 - 0.346573590279973*i
x54 = 76.1836218495525 - 0.346573590279973*i
x55 = -3.92699081698724 + 0.346573590279973*i
x56 = -11.7809724509617 - 0.346573590279973*i
x57 = 96.6039740978861 + 0.346573590279973*i
x58 = -87.1791961371168 - 0.346573590279973*i
x59 = -91.8915851175014 + 0.346573590279973*i
x60 = 46.3384916404494 + 0.346573590279973*i
x61 = -66.7588438887831 + 0.346573590279973*i
x62 = 77.7544181763474 + 0.346573590279973*i
x63 = -36.9137136796801 - 0.346573590279973*i
x64 = 40.0553063332699 + 0.346573590279973*i
x65 = 57.3340659280137 - 0.346573590279973*i
x65 = 57.3340659280137 - 0.346573590279973*i