Sr Examen
Otras calculadoras
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¿Cómo usar?
- La ecuación:
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Ecuación (x-3)*(x+2)=0
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Ecuación (11x+14)-(5x-8)=25
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Ecuación z^2-6*z+10=0
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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
- 20*x+5*y=-3
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Expresiones idénticas
- z=arcsin*(xy)^ cero . cinco
- z es igual a arc seno de multiplicar por (xy) en el grado 0.5
- z es igual a arc seno de multiplicar por (xy) en el grado cero . cinco
- z=arcsin*(xy)0.5
- z=arcsin*xy0.5
- z=arcsin(xy)^0.5
- z=arcsin(xy)0.5
- z=arcsinxy0.5
- z=arcsinxy^0.5
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Expresiones con funciones
- arcsin
- arcsin(x)+x^3=0
- arcsin(x)=0.96
- arcsin*(x/y)
- arcsin(x)+x*sqrt(1-(x)^2)=0.94
- arcsin(2x)=3arcsin(x)
- xy
- xy-y-x^3=0
- xy+y=5
- xy=x+y+9
- xy+y-xsinx=0
- Xy-y=xtany/x
z=arcsin*(xy)^0.5 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
___________ z = \/ asin(x*y)
$$z = \sqrt{\operatorname{asin}{\left(x y \right)}}$$
Gráfica
Suma y producto de raíces
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suma
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4 / 2 2 /atan2(im(asin(x*y)), re(asin(x*y)))\ 4 / 2 2 /atan2(im(asin(x*y)), re(asin(x*y)))\
\/ im (asin(x*y)) + re (asin(x*y)) *cos|-----------------------------------| + I*\/ im (asin(x*y)) + re (asin(x*y)) *sin|-----------------------------------|
\ 2 / \ 2 /
$$i \sqrt[4]{\left(\operatorname{re}{\left(\operatorname{asin}{\left(x y \right)}\right)}\right)^{2} + \left(\operatorname{im}{\left(\operatorname{asin}{\left(x y \right)}\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(\operatorname{asin}{\left(x y \right)}\right)},\operatorname{re}{\left(\operatorname{asin}{\left(x y \right)}\right)} \right)}}{2} \right)} + \sqrt[4]{\left(\operatorname{re}{\left(\operatorname{asin}{\left(x y \right)}\right)}\right)^{2} + \left(\operatorname{im}{\left(\operatorname{asin}{\left(x y \right)}\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(\operatorname{asin}{\left(x y \right)}\right)},\operatorname{re}{\left(\operatorname{asin}{\left(x y \right)}\right)} \right)}}{2} \right)}$$
=
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4 / 2 2 /atan2(im(asin(x*y)), re(asin(x*y)))\ 4 / 2 2 /atan2(im(asin(x*y)), re(asin(x*y)))\
\/ im (asin(x*y)) + re (asin(x*y)) *cos|-----------------------------------| + I*\/ im (asin(x*y)) + re (asin(x*y)) *sin|-----------------------------------|
\ 2 / \ 2 /
$$i \sqrt[4]{\left(\operatorname{re}{\left(\operatorname{asin}{\left(x y \right)}\right)}\right)^{2} + \left(\operatorname{im}{\left(\operatorname{asin}{\left(x y \right)}\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(\operatorname{asin}{\left(x y \right)}\right)},\operatorname{re}{\left(\operatorname{asin}{\left(x y \right)}\right)} \right)}}{2} \right)} + \sqrt[4]{\left(\operatorname{re}{\left(\operatorname{asin}{\left(x y \right)}\right)}\right)^{2} + \left(\operatorname{im}{\left(\operatorname{asin}{\left(x y \right)}\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(\operatorname{asin}{\left(x y \right)}\right)},\operatorname{re}{\left(\operatorname{asin}{\left(x y \right)}\right)} \right)}}{2} \right)}$$
producto
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4 / 2 2 /atan2(im(asin(x*y)), re(asin(x*y)))\ 4 / 2 2 /atan2(im(asin(x*y)), re(asin(x*y)))\
\/ im (asin(x*y)) + re (asin(x*y)) *cos|-----------------------------------| + I*\/ im (asin(x*y)) + re (asin(x*y)) *sin|-----------------------------------|
\ 2 / \ 2 /
$$i \sqrt[4]{\left(\operatorname{re}{\left(\operatorname{asin}{\left(x y \right)}\right)}\right)^{2} + \left(\operatorname{im}{\left(\operatorname{asin}{\left(x y \right)}\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(\operatorname{asin}{\left(x y \right)}\right)},\operatorname{re}{\left(\operatorname{asin}{\left(x y \right)}\right)} \right)}}{2} \right)} + \sqrt[4]{\left(\operatorname{re}{\left(\operatorname{asin}{\left(x y \right)}\right)}\right)^{2} + \left(\operatorname{im}{\left(\operatorname{asin}{\left(x y \right)}\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(\operatorname{asin}{\left(x y \right)}\right)},\operatorname{re}{\left(\operatorname{asin}{\left(x y \right)}\right)} \right)}}{2} \right)}$$
=
I*atan2(im(asin(x*y)), re(asin(x*y))) _________________________________ ------------------------------------- 4 / 2 2 2 \/ im (asin(x*y)) + re (asin(x*y)) *e
$$\sqrt[4]{\left(\operatorname{re}{\left(\operatorname{asin}{\left(x y \right)}\right)}\right)^{2} + \left(\operatorname{im}{\left(\operatorname{asin}{\left(x y \right)}\right)}\right)^{2}} e^{\frac{i \operatorname{atan_{2}}{\left(\operatorname{im}{\left(\operatorname{asin}{\left(x y \right)}\right)},\operatorname{re}{\left(\operatorname{asin}{\left(x y \right)}\right)} \right)}}{2}}$$
(im(asin(x*y))^2 + re(asin(x*y))^2)^(1/4)*exp(i*atan2(im(asin(x*y)), re(asin(x*y)))/2)
Respuesta rápida
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4 / 2 2 /atan2(im(asin(x*y)), re(asin(x*y)))\ 4 / 2 2 /atan2(im(asin(x*y)), re(asin(x*y)))\
z1 = \/ im (asin(x*y)) + re (asin(x*y)) *cos|-----------------------------------| + I*\/ im (asin(x*y)) + re (asin(x*y)) *sin|-----------------------------------|
\ 2 / \ 2 /
$$z_{1} = i \sqrt[4]{\left(\operatorname{re}{\left(\operatorname{asin}{\left(x y \right)}\right)}\right)^{2} + \left(\operatorname{im}{\left(\operatorname{asin}{\left(x y \right)}\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(\operatorname{asin}{\left(x y \right)}\right)},\operatorname{re}{\left(\operatorname{asin}{\left(x y \right)}\right)} \right)}}{2} \right)} + \sqrt[4]{\left(\operatorname{re}{\left(\operatorname{asin}{\left(x y \right)}\right)}\right)^{2} + \left(\operatorname{im}{\left(\operatorname{asin}{\left(x y \right)}\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(\operatorname{asin}{\left(x y \right)}\right)},\operatorname{re}{\left(\operatorname{asin}{\left(x y \right)}\right)} \right)}}{2} \right)}$$
z1 = i*(re(asin(x*y))^2 + im(asin(x*y))^2)^(1/4)*sin(atan2(im(asin(x*y), re(asin(x*y)))/2) + (re(asin(x*y))^2 + im(asin(x*y))^2)^(1/4)*cos(atan2(im(asin(x*y)), re(asin(x*y)))/2))