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- La ecuación:
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Ecuación 6*x^2+x-7=0
- Ecuación z^5+32=0
-
Ecuación 2-5(3+2x)=17
-
Ecuación (6*x+8)/2+5=5*x/3
- Expresar {x} en función de y en la ecuación:
- -9*x-12*y=-19
- -8*x+3*y=-4
- 10*x+3*y=2
- 16*x-17*y=-15
- Derivada de:
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log(y)
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-sin(x)
- Integral de d{x}:
- log(y)
- -sin(x)
- Gráfico de la función y =:
- log(y)
- Límite de la función:
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-sin(x)
-
Expresiones idénticas
- log(y)=-sin(x)
- logaritmo de (y) es igual a menos seno de (x)
- logy=-sinx
-
Expresiones semejantes
- log(log(y/x)-1)=Const+log(x)
- -(1/(y/x))*log(y/x)=1/x
- log(y)=+sin(x)
- log(y)=-sinx
-
Expresiones con funciones
- Logaritmo log
- log(c)=0
- Log[2,34-2^x]=2-Sqrt[x-4]=0
- log2x-5log2x=0
- log(3*x)=2-x
- log(1)/3*(4*x+5)=-1
- Seno sin
- sin(x)-2*x-1=0
- sin(1)/((3*x))=-1
- sin(pi*(x^2+1)/(x^2+11))=1/2
- sin(x)-2sqrt(x)=0
- sin(4*a)+cos(2*a)+sin(2*a)*cos(2*a)=1
log(y)=-sin(x) la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Solución detallada
Tenemos la ecuación
$$\log{\left(y \right)} = - \sin{\left(x \right)}$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$x = 2 \pi n + \operatorname{asin}{\left(- \log{\left(y \right)} \right)}$$
$$x = 2 \pi n - \operatorname{asin}{\left(- \log{\left(y \right)} \right)} + \pi$$
O
$$x = 2 \pi n - \operatorname{asin}{\left(\log{\left(y \right)} \right)}$$
$$x = 2 \pi n + \operatorname{asin}{\left(\log{\left(y \right)} \right)} + \pi$$
, donde n es cualquier número entero
$$\log{\left(y \right)} = - \sin{\left(x \right)}$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$x = 2 \pi n + \operatorname{asin}{\left(- \log{\left(y \right)} \right)}$$
$$x = 2 \pi n - \operatorname{asin}{\left(- \log{\left(y \right)} \right)} + \pi$$
O
$$x = 2 \pi n - \operatorname{asin}{\left(\log{\left(y \right)} \right)}$$
$$x = 2 \pi n + \operatorname{asin}{\left(\log{\left(y \right)} \right)} + \pi$$
, donde n es cualquier número entero
Gráfica
Respuesta rápida
[src]
x1 = pi + I*im(asin(log(y))) + re(asin(log(y)))
$$x_{1} = \operatorname{re}{\left(\operatorname{asin}{\left(\log{\left(y \right)} \right)}\right)} + i \operatorname{im}{\left(\operatorname{asin}{\left(\log{\left(y \right)} \right)}\right)} + \pi$$
x2 = -re(asin(log(y))) - I*im(asin(log(y)))
$$x_{2} = - \operatorname{re}{\left(\operatorname{asin}{\left(\log{\left(y \right)} \right)}\right)} - i \operatorname{im}{\left(\operatorname{asin}{\left(\log{\left(y \right)} \right)}\right)}$$
x2 = -re(asin(log(y))) - i*im(asin(log(y)))
Suma y producto de raíces
[src]
suma
pi + I*im(asin(log(y))) + re(asin(log(y))) + -re(asin(log(y))) - I*im(asin(log(y)))
$$\left(- \operatorname{re}{\left(\operatorname{asin}{\left(\log{\left(y \right)} \right)}\right)} - i \operatorname{im}{\left(\operatorname{asin}{\left(\log{\left(y \right)} \right)}\right)}\right) + \left(\operatorname{re}{\left(\operatorname{asin}{\left(\log{\left(y \right)} \right)}\right)} + i \operatorname{im}{\left(\operatorname{asin}{\left(\log{\left(y \right)} \right)}\right)} + \pi\right)$$
=
pi
$$\pi$$
producto
(pi + I*im(asin(log(y))) + re(asin(log(y))))*(-re(asin(log(y))) - I*im(asin(log(y))))
$$\left(- \operatorname{re}{\left(\operatorname{asin}{\left(\log{\left(y \right)} \right)}\right)} - i \operatorname{im}{\left(\operatorname{asin}{\left(\log{\left(y \right)} \right)}\right)}\right) \left(\operatorname{re}{\left(\operatorname{asin}{\left(\log{\left(y \right)} \right)}\right)} + i \operatorname{im}{\left(\operatorname{asin}{\left(\log{\left(y \right)} \right)}\right)} + \pi\right)$$
=
-(I*im(asin(log(y))) + re(asin(log(y))))*(pi + I*im(asin(log(y))) + re(asin(log(y))))
$$- \left(\operatorname{re}{\left(\operatorname{asin}{\left(\log{\left(y \right)} \right)}\right)} + i \operatorname{im}{\left(\operatorname{asin}{\left(\log{\left(y \right)} \right)}\right)}\right) \left(\operatorname{re}{\left(\operatorname{asin}{\left(\log{\left(y \right)} \right)}\right)} + i \operatorname{im}{\left(\operatorname{asin}{\left(\log{\left(y \right)} \right)}\right)} + \pi\right)$$
-(i*im(asin(log(y))) + re(asin(log(y))))*(pi + i*im(asin(log(y))) + re(asin(log(y))))