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- La ecuación:
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Ecuación x^4+2*x^2-8=0
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Ecuación x*(x^2+8*x+16)=5*(x+4)
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Ecuación ((57.6/(150-x))^0.15)*((150+x)+10)/171.712=1
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Ecuación x^2+3x=4
- Expresar {x} en función de y en la ecuación:
- -18*x-2*y=9
- -14*x+10*y=19
- -9*x+1*y=3
- -17*x+1*y=-11
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Expresiones idénticas
- asin(y/ tres)=Const+atan(x/ dos)/ dos
- ar coseno de eno de (y dividir por 3) es igual a Const más arco tangente de gente de (x dividir por 2) dividir por 2
- ar coseno de eno de (y dividir por tres) es igual a Const más arco tangente de gente de (x dividir por dos) dividir por dos
- asiny/3=Const+atanx/2/2
- asin(y dividir por 3)=Const+atan(x dividir por 2) dividir por 2
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Expresiones semejantes
- asin(y/3)=Const-atan(x/2)/2
- arcsin(y/3)=Const+arctan(x/2)/2
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Expresiones con funciones
- Arcoseno arcsin
- asin(y)=Const+ln(x)
- asin(x/5)/pi-1=0
- asin(y/x)=log(x)
- asin(1/x)-21=0
- asin(a/x)+ln√(x^2+a^2)=0
- Arcotangente arctan
- atan(x)+x-1=0
- atan(x)2
- atan(3^x/2)/2=0
- atan(x)=pi/4
- atan(y)=sqrt(4-x^2)
asin(y/3)=Const+atan(x/2)/2 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
/x\
atan|-|
/y\ \2/
asin|-| = c + -------
\3/ 2
$$\operatorname{asin}{\left(\frac{y}{3} \right)} = c + \frac{\operatorname{atan}{\left(\frac{x}{2} \right)}}{2}$$
Gráfica
Respuesta rápida
[src]
/ / /y\\ \ / / /y\\ \
2*sin|- 4*re|asin|-|| + 4*re(c)| 2*I*sinh|- 4*im|asin|-|| + 4*im(c)|
\ \ \3// / \ \ \3// /
x1 = - ---------------------------------------------------------------- - ----------------------------------------------------------------
/ / /y\\ \ / / /y\\ \ / / /y\\ \ / / /y\\ \
cos|- 4*re|asin|-|| + 4*re(c)| + cosh|- 4*im|asin|-|| + 4*im(c)| cos|- 4*re|asin|-|| + 4*re(c)| + cosh|- 4*im|asin|-|| + 4*im(c)|
\ \ \3// / \ \ \3// / \ \ \3// / \ \ \3// /
$$x_{1} = - \frac{2 \sin{\left(4 \operatorname{re}{\left(c\right)} - 4 \operatorname{re}{\left(\operatorname{asin}{\left(\frac{y}{3} \right)}\right)} \right)}}{\cos{\left(4 \operatorname{re}{\left(c\right)} - 4 \operatorname{re}{\left(\operatorname{asin}{\left(\frac{y}{3} \right)}\right)} \right)} + \cosh{\left(4 \operatorname{im}{\left(c\right)} - 4 \operatorname{im}{\left(\operatorname{asin}{\left(\frac{y}{3} \right)}\right)} \right)}} - \frac{2 i \sinh{\left(4 \operatorname{im}{\left(c\right)} - 4 \operatorname{im}{\left(\operatorname{asin}{\left(\frac{y}{3} \right)}\right)} \right)}}{\cos{\left(4 \operatorname{re}{\left(c\right)} - 4 \operatorname{re}{\left(\operatorname{asin}{\left(\frac{y}{3} \right)}\right)} \right)} + \cosh{\left(4 \operatorname{im}{\left(c\right)} - 4 \operatorname{im}{\left(\operatorname{asin}{\left(\frac{y}{3} \right)}\right)} \right)}}$$
x1 = -2*sin(4*re(c) - 4*re(asin(y/3)))/(cos(4*re(c) - 4*re(asin(y/3))) + cosh(4*im(c) - 4*im(asin(y/3)))) - 2*i*sinh(4*im(c) - 4*im(asin(y/3)))/(cos(4*re(c) - 4*re(asin(y/3))) + cosh(4*im(c) - 4*im(asin(y/3))))
Suma y producto de raíces
[src]
suma
/ / /y\\ \ / / /y\\ \
2*sin|- 4*re|asin|-|| + 4*re(c)| 2*I*sinh|- 4*im|asin|-|| + 4*im(c)|
\ \ \3// / \ \ \3// /
- ---------------------------------------------------------------- - ----------------------------------------------------------------
/ / /y\\ \ / / /y\\ \ / / /y\\ \ / / /y\\ \
cos|- 4*re|asin|-|| + 4*re(c)| + cosh|- 4*im|asin|-|| + 4*im(c)| cos|- 4*re|asin|-|| + 4*re(c)| + cosh|- 4*im|asin|-|| + 4*im(c)|
\ \ \3// / \ \ \3// / \ \ \3// / \ \ \3// /
$$- \frac{2 \sin{\left(4 \operatorname{re}{\left(c\right)} - 4 \operatorname{re}{\left(\operatorname{asin}{\left(\frac{y}{3} \right)}\right)} \right)}}{\cos{\left(4 \operatorname{re}{\left(c\right)} - 4 \operatorname{re}{\left(\operatorname{asin}{\left(\frac{y}{3} \right)}\right)} \right)} + \cosh{\left(4 \operatorname{im}{\left(c\right)} - 4 \operatorname{im}{\left(\operatorname{asin}{\left(\frac{y}{3} \right)}\right)} \right)}} - \frac{2 i \sinh{\left(4 \operatorname{im}{\left(c\right)} - 4 \operatorname{im}{\left(\operatorname{asin}{\left(\frac{y}{3} \right)}\right)} \right)}}{\cos{\left(4 \operatorname{re}{\left(c\right)} - 4 \operatorname{re}{\left(\operatorname{asin}{\left(\frac{y}{3} \right)}\right)} \right)} + \cosh{\left(4 \operatorname{im}{\left(c\right)} - 4 \operatorname{im}{\left(\operatorname{asin}{\left(\frac{y}{3} \right)}\right)} \right)}}$$
=
/ / /y\\ \ / / /y\\ \
2*sin|- 4*re|asin|-|| + 4*re(c)| 2*I*sinh|- 4*im|asin|-|| + 4*im(c)|
\ \ \3// / \ \ \3// /
- ---------------------------------------------------------------- - ----------------------------------------------------------------
/ / /y\\ \ / / /y\\ \ / / /y\\ \ / / /y\\ \
cos|- 4*re|asin|-|| + 4*re(c)| + cosh|- 4*im|asin|-|| + 4*im(c)| cos|- 4*re|asin|-|| + 4*re(c)| + cosh|- 4*im|asin|-|| + 4*im(c)|
\ \ \3// / \ \ \3// / \ \ \3// / \ \ \3// /
$$- \frac{2 \sin{\left(4 \operatorname{re}{\left(c\right)} - 4 \operatorname{re}{\left(\operatorname{asin}{\left(\frac{y}{3} \right)}\right)} \right)}}{\cos{\left(4 \operatorname{re}{\left(c\right)} - 4 \operatorname{re}{\left(\operatorname{asin}{\left(\frac{y}{3} \right)}\right)} \right)} + \cosh{\left(4 \operatorname{im}{\left(c\right)} - 4 \operatorname{im}{\left(\operatorname{asin}{\left(\frac{y}{3} \right)}\right)} \right)}} - \frac{2 i \sinh{\left(4 \operatorname{im}{\left(c\right)} - 4 \operatorname{im}{\left(\operatorname{asin}{\left(\frac{y}{3} \right)}\right)} \right)}}{\cos{\left(4 \operatorname{re}{\left(c\right)} - 4 \operatorname{re}{\left(\operatorname{asin}{\left(\frac{y}{3} \right)}\right)} \right)} + \cosh{\left(4 \operatorname{im}{\left(c\right)} - 4 \operatorname{im}{\left(\operatorname{asin}{\left(\frac{y}{3} \right)}\right)} \right)}}$$
producto
/ / /y\\ \ / / /y\\ \
2*sin|- 4*re|asin|-|| + 4*re(c)| 2*I*sinh|- 4*im|asin|-|| + 4*im(c)|
\ \ \3// / \ \ \3// /
- ---------------------------------------------------------------- - ----------------------------------------------------------------
/ / /y\\ \ / / /y\\ \ / / /y\\ \ / / /y\\ \
cos|- 4*re|asin|-|| + 4*re(c)| + cosh|- 4*im|asin|-|| + 4*im(c)| cos|- 4*re|asin|-|| + 4*re(c)| + cosh|- 4*im|asin|-|| + 4*im(c)|
\ \ \3// / \ \ \3// / \ \ \3// / \ \ \3// /
$$- \frac{2 \sin{\left(4 \operatorname{re}{\left(c\right)} - 4 \operatorname{re}{\left(\operatorname{asin}{\left(\frac{y}{3} \right)}\right)} \right)}}{\cos{\left(4 \operatorname{re}{\left(c\right)} - 4 \operatorname{re}{\left(\operatorname{asin}{\left(\frac{y}{3} \right)}\right)} \right)} + \cosh{\left(4 \operatorname{im}{\left(c\right)} - 4 \operatorname{im}{\left(\operatorname{asin}{\left(\frac{y}{3} \right)}\right)} \right)}} - \frac{2 i \sinh{\left(4 \operatorname{im}{\left(c\right)} - 4 \operatorname{im}{\left(\operatorname{asin}{\left(\frac{y}{3} \right)}\right)} \right)}}{\cos{\left(4 \operatorname{re}{\left(c\right)} - 4 \operatorname{re}{\left(\operatorname{asin}{\left(\frac{y}{3} \right)}\right)} \right)} + \cosh{\left(4 \operatorname{im}{\left(c\right)} - 4 \operatorname{im}{\left(\operatorname{asin}{\left(\frac{y}{3} \right)}\right)} \right)}}$$
=
/ / / /y\\ \ / / /y\\ \\
-|2*sin|- 4*re|asin|-|| + 4*re(c)| + 2*I*sinh|- 4*im|asin|-|| + 4*im(c)||
\ \ \ \3// / \ \ \3// //
--------------------------------------------------------------------------
/ / /y\\ \ / / /y\\ \
cos|- 4*re|asin|-|| + 4*re(c)| + cosh|- 4*im|asin|-|| + 4*im(c)|
\ \ \3// / \ \ \3// /
$$- \frac{2 \sin{\left(4 \operatorname{re}{\left(c\right)} - 4 \operatorname{re}{\left(\operatorname{asin}{\left(\frac{y}{3} \right)}\right)} \right)} + 2 i \sinh{\left(4 \operatorname{im}{\left(c\right)} - 4 \operatorname{im}{\left(\operatorname{asin}{\left(\frac{y}{3} \right)}\right)} \right)}}{\cos{\left(4 \operatorname{re}{\left(c\right)} - 4 \operatorname{re}{\left(\operatorname{asin}{\left(\frac{y}{3} \right)}\right)} \right)} + \cosh{\left(4 \operatorname{im}{\left(c\right)} - 4 \operatorname{im}{\left(\operatorname{asin}{\left(\frac{y}{3} \right)}\right)} \right)}}$$
-(2*sin(-4*re(asin(y/3)) + 4*re(c)) + 2*i*sinh(-4*im(asin(y/3)) + 4*im(c)))/(cos(-4*re(asin(y/3)) + 4*re(c)) + cosh(-4*im(asin(y/3)) + 4*im(c)))