Sr Examen
Otras calculadoras
-
¿Cómo usar?
- La ecuación:
-
Ecuación 2x^2-x-1=x^2-5x-(-1-x^2)
-
Ecuación x^2+4=5x
-
Ecuación x(x^2+2x+1)=6(x+1)
-
Ecuación 4x+1=-3x+15
- Expresar {x} en función de y en la ecuación:
- -6*x-20*y=8
- 13*x-12*y=19
- -9*x+11*y=9
- -4*x-8*y=-20
-
Expresiones idénticas
- -atan(y/ dos)/ dos =Const-atan(x/ cuatro)/ cuatro
- menos arco tangente de gente de (y dividir por 2) dividir por 2 es igual a Const menos arco tangente de gente de (x dividir por 4) dividir por 4
- menos arco tangente de gente de (y dividir por dos) dividir por dos es igual a Const menos arco tangente de gente de (x dividir por cuatro) dividir por cuatro
- -atany/2/2=Const-atanx/4/4
- -atan(y dividir por 2) dividir por 2=Const-atan(x dividir por 4) dividir por 4
-
Expresiones semejantes
- -atan(y/2)/2=Const+atan(x/4)/4
- atan(y/2)/2=Const-atan(x/4)/4
- -arctan(y/2)/2=Const-arctan(x/4)/4
-
Expresiones con funciones
- Arcotangente arctan
- atan(1/x)=o*(1)
- atan(x)-x^2+1=0
- atan(x)-(1/x^3)=0
- atan(x)+atan(3*x)=atan(4*x/(1-3*x^2))
- atan((x-1)/2)=1,6388
- Arcotangente arctan
- atan(1/x)=o*(1)
- atan(x)-x^2+1=0
- atan(x)-(1/x^3)=0
- atan(x)+atan(3*x)=atan(4*x/(1-3*x^2))
- atan((x-1)/2)=1,6388
-atan(y/2)/2=Const-atan(x/4)/4 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
/y\ /x\
-atan|-| atan|-|
\2/ \4/
--------- = c - -------
2 4
$$\frac{\left(-1\right) \operatorname{atan}{\left(\frac{y}{2} \right)}}{2} = c - \frac{\operatorname{atan}{\left(\frac{x}{4} \right)}}{4}$$
Gráfica
Respuesta rápida
[src]
/ / /x\\ \ / / /x\\ \
2*sin|- re|atan|-|| + 4*re(c)| 2*I*sinh|- im|atan|-|| + 4*im(c)|
\ \ \4// / \ \ \4// /
y1 = - ------------------------------------------------------------ - ------------------------------------------------------------
/ / /x\\ \ / / /x\\ \ / / /x\\ \ / / /x\\ \
cos|- re|atan|-|| + 4*re(c)| + cosh|- im|atan|-|| + 4*im(c)| cos|- re|atan|-|| + 4*re(c)| + cosh|- im|atan|-|| + 4*im(c)|
\ \ \4// / \ \ \4// / \ \ \4// / \ \ \4// /
$$y_{1} = - \frac{2 \sin{\left(4 \operatorname{re}{\left(c\right)} - \operatorname{re}{\left(\operatorname{atan}{\left(\frac{x}{4} \right)}\right)} \right)}}{\cos{\left(4 \operatorname{re}{\left(c\right)} - \operatorname{re}{\left(\operatorname{atan}{\left(\frac{x}{4} \right)}\right)} \right)} + \cosh{\left(4 \operatorname{im}{\left(c\right)} - \operatorname{im}{\left(\operatorname{atan}{\left(\frac{x}{4} \right)}\right)} \right)}} - \frac{2 i \sinh{\left(4 \operatorname{im}{\left(c\right)} - \operatorname{im}{\left(\operatorname{atan}{\left(\frac{x}{4} \right)}\right)} \right)}}{\cos{\left(4 \operatorname{re}{\left(c\right)} - \operatorname{re}{\left(\operatorname{atan}{\left(\frac{x}{4} \right)}\right)} \right)} + \cosh{\left(4 \operatorname{im}{\left(c\right)} - \operatorname{im}{\left(\operatorname{atan}{\left(\frac{x}{4} \right)}\right)} \right)}}$$
y1 = -2*sin(4*re(c) - re(atan(x/4)))/(cos(4*re(c) - re(atan(x/4))) + cosh(4*im(c) - im(atan(x/4)))) - 2*i*sinh(4*im(c) - im(atan(x/4)))/(cos(4*re(c) - re(atan(x/4))) + cosh(4*im(c) - im(atan(x/4))))
Suma y producto de raíces
[src]
suma
/ / /x\\ \ / / /x\\ \
2*sin|- re|atan|-|| + 4*re(c)| 2*I*sinh|- im|atan|-|| + 4*im(c)|
\ \ \4// / \ \ \4// /
- ------------------------------------------------------------ - ------------------------------------------------------------
/ / /x\\ \ / / /x\\ \ / / /x\\ \ / / /x\\ \
cos|- re|atan|-|| + 4*re(c)| + cosh|- im|atan|-|| + 4*im(c)| cos|- re|atan|-|| + 4*re(c)| + cosh|- im|atan|-|| + 4*im(c)|
\ \ \4// / \ \ \4// / \ \ \4// / \ \ \4// /
$$- \frac{2 \sin{\left(4 \operatorname{re}{\left(c\right)} - \operatorname{re}{\left(\operatorname{atan}{\left(\frac{x}{4} \right)}\right)} \right)}}{\cos{\left(4 \operatorname{re}{\left(c\right)} - \operatorname{re}{\left(\operatorname{atan}{\left(\frac{x}{4} \right)}\right)} \right)} + \cosh{\left(4 \operatorname{im}{\left(c\right)} - \operatorname{im}{\left(\operatorname{atan}{\left(\frac{x}{4} \right)}\right)} \right)}} - \frac{2 i \sinh{\left(4 \operatorname{im}{\left(c\right)} - \operatorname{im}{\left(\operatorname{atan}{\left(\frac{x}{4} \right)}\right)} \right)}}{\cos{\left(4 \operatorname{re}{\left(c\right)} - \operatorname{re}{\left(\operatorname{atan}{\left(\frac{x}{4} \right)}\right)} \right)} + \cosh{\left(4 \operatorname{im}{\left(c\right)} - \operatorname{im}{\left(\operatorname{atan}{\left(\frac{x}{4} \right)}\right)} \right)}}$$
=
/ / /x\\ \ / / /x\\ \
2*sin|- re|atan|-|| + 4*re(c)| 2*I*sinh|- im|atan|-|| + 4*im(c)|
\ \ \4// / \ \ \4// /
- ------------------------------------------------------------ - ------------------------------------------------------------
/ / /x\\ \ / / /x\\ \ / / /x\\ \ / / /x\\ \
cos|- re|atan|-|| + 4*re(c)| + cosh|- im|atan|-|| + 4*im(c)| cos|- re|atan|-|| + 4*re(c)| + cosh|- im|atan|-|| + 4*im(c)|
\ \ \4// / \ \ \4// / \ \ \4// / \ \ \4// /
$$- \frac{2 \sin{\left(4 \operatorname{re}{\left(c\right)} - \operatorname{re}{\left(\operatorname{atan}{\left(\frac{x}{4} \right)}\right)} \right)}}{\cos{\left(4 \operatorname{re}{\left(c\right)} - \operatorname{re}{\left(\operatorname{atan}{\left(\frac{x}{4} \right)}\right)} \right)} + \cosh{\left(4 \operatorname{im}{\left(c\right)} - \operatorname{im}{\left(\operatorname{atan}{\left(\frac{x}{4} \right)}\right)} \right)}} - \frac{2 i \sinh{\left(4 \operatorname{im}{\left(c\right)} - \operatorname{im}{\left(\operatorname{atan}{\left(\frac{x}{4} \right)}\right)} \right)}}{\cos{\left(4 \operatorname{re}{\left(c\right)} - \operatorname{re}{\left(\operatorname{atan}{\left(\frac{x}{4} \right)}\right)} \right)} + \cosh{\left(4 \operatorname{im}{\left(c\right)} - \operatorname{im}{\left(\operatorname{atan}{\left(\frac{x}{4} \right)}\right)} \right)}}$$
producto
/ / /x\\ \ / / /x\\ \
2*sin|- re|atan|-|| + 4*re(c)| 2*I*sinh|- im|atan|-|| + 4*im(c)|
\ \ \4// / \ \ \4// /
- ------------------------------------------------------------ - ------------------------------------------------------------
/ / /x\\ \ / / /x\\ \ / / /x\\ \ / / /x\\ \
cos|- re|atan|-|| + 4*re(c)| + cosh|- im|atan|-|| + 4*im(c)| cos|- re|atan|-|| + 4*re(c)| + cosh|- im|atan|-|| + 4*im(c)|
\ \ \4// / \ \ \4// / \ \ \4// / \ \ \4// /
$$- \frac{2 \sin{\left(4 \operatorname{re}{\left(c\right)} - \operatorname{re}{\left(\operatorname{atan}{\left(\frac{x}{4} \right)}\right)} \right)}}{\cos{\left(4 \operatorname{re}{\left(c\right)} - \operatorname{re}{\left(\operatorname{atan}{\left(\frac{x}{4} \right)}\right)} \right)} + \cosh{\left(4 \operatorname{im}{\left(c\right)} - \operatorname{im}{\left(\operatorname{atan}{\left(\frac{x}{4} \right)}\right)} \right)}} - \frac{2 i \sinh{\left(4 \operatorname{im}{\left(c\right)} - \operatorname{im}{\left(\operatorname{atan}{\left(\frac{x}{4} \right)}\right)} \right)}}{\cos{\left(4 \operatorname{re}{\left(c\right)} - \operatorname{re}{\left(\operatorname{atan}{\left(\frac{x}{4} \right)}\right)} \right)} + \cosh{\left(4 \operatorname{im}{\left(c\right)} - \operatorname{im}{\left(\operatorname{atan}{\left(\frac{x}{4} \right)}\right)} \right)}}$$
=
/ / / /x\\ \ / / /x\\ \\
-|2*sin|- re|atan|-|| + 4*re(c)| + 2*I*sinh|- im|atan|-|| + 4*im(c)||
\ \ \ \4// / \ \ \4// //
----------------------------------------------------------------------
/ / /x\\ \ / / /x\\ \
cos|- re|atan|-|| + 4*re(c)| + cosh|- im|atan|-|| + 4*im(c)|
\ \ \4// / \ \ \4// /
$$- \frac{2 \sin{\left(4 \operatorname{re}{\left(c\right)} - \operatorname{re}{\left(\operatorname{atan}{\left(\frac{x}{4} \right)}\right)} \right)} + 2 i \sinh{\left(4 \operatorname{im}{\left(c\right)} - \operatorname{im}{\left(\operatorname{atan}{\left(\frac{x}{4} \right)}\right)} \right)}}{\cos{\left(4 \operatorname{re}{\left(c\right)} - \operatorname{re}{\left(\operatorname{atan}{\left(\frac{x}{4} \right)}\right)} \right)} + \cosh{\left(4 \operatorname{im}{\left(c\right)} - \operatorname{im}{\left(\operatorname{atan}{\left(\frac{x}{4} \right)}\right)} \right)}}$$
-(2*sin(-re(atan(x/4)) + 4*re(c)) + 2*i*sinh(-im(atan(x/4)) + 4*im(c)))/(cos(-re(atan(x/4)) + 4*re(c)) + cosh(-im(atan(x/4)) + 4*im(c)))