Sr Examen
cosx*siny*sinz=0; cosy*sinx*sinz=0; cosz*siny*sinx=0
Solución
Ha introducido
[src]
cos(x)*sin(y)*sin(z) = 0
$$\sin{\left(y \right)} \cos{\left(x \right)} \sin{\left(z \right)} = 0$$
cos(y)*sin(x)*sin(z) = 0
$$\sin{\left(x \right)} \cos{\left(y \right)} \sin{\left(z \right)} = 0$$
cos(z)*sin(y)*sin(x) = 0
$$\sin{\left(y \right)} \cos{\left(z \right)} \sin{\left(x \right)} = 0$$
(sin(y)*cos(z))*sin(x) = 0
Respuesta rápida
$$x_{1} = 0$$
=
$$0$$
=
$$y_{1} = 0$$
=
$$0$$
=
=
$$0$$
=
0
$$y_{1} = 0$$
=
$$0$$
=
0
$$y_{2} = 0$$
=
$$0$$
=
$$x_{2} = 0$$
=
$$0$$
=
=
$$0$$
=
0
$$x_{2} = 0$$
=
$$0$$
=
0
$$x_{3} = 0$$
=
$$0$$
=
$$y_{3} = \pi$$
=
$$\pi$$
=
=
$$0$$
=
0
$$y_{3} = \pi$$
=
$$\pi$$
=
3.14159265358979
$$y_{4} = \pi$$
=
$$\pi$$
=
$$x_{4} = 0$$
=
$$0$$
=
=
$$\pi$$
=
3.14159265358979
$$x_{4} = 0$$
=
$$0$$
=
0
$$x_{5} = 0$$
=
$$0$$
=
$$z_{5} = 0$$
=
$$0$$
=
=
$$0$$
=
0
$$z_{5} = 0$$
=
$$0$$
=
0
$$x_{6} = 0$$
=
$$0$$
=
$$z_{6} = \pi$$
=
$$\pi$$
=
=
$$0$$
=
0
$$z_{6} = \pi$$
=
$$\pi$$
=
3.14159265358979
$$x_{7} = \pi$$
=
$$\pi$$
=
$$y_{7} = 0$$
=
$$0$$
=
=
$$\pi$$
=
3.14159265358979
$$y_{7} = 0$$
=
$$0$$
=
0
$$y_{8} = 0$$
=
$$0$$
=
$$x_{8} = \pi$$
=
$$\pi$$
=
=
$$0$$
=
0
$$x_{8} = \pi$$
=
$$\pi$$
=
3.14159265358979
$$x_{9} = \pi$$
=
$$\pi$$
=
$$y_{9} = \pi$$
=
$$\pi$$
=
=
$$\pi$$
=
3.14159265358979
$$y_{9} = \pi$$
=
$$\pi$$
=
3.14159265358979
$$y_{10} = \pi$$
=
$$\pi$$
=
$$x_{10} = \pi$$
=
$$\pi$$
=
=
$$\pi$$
=
3.14159265358979
$$x_{10} = \pi$$
=
$$\pi$$
=
3.14159265358979
$$x_{11} = \pi$$
=
$$\pi$$
=
$$z_{11} = 0$$
=
$$0$$
=
=
$$\pi$$
=
3.14159265358979
$$z_{11} = 0$$
=
$$0$$
=
0
$$x_{12} = \pi$$
=
$$\pi$$
=
$$z_{12} = \pi$$
=
$$\pi$$
=
=
$$\pi$$
=
3.14159265358979
$$z_{12} = \pi$$
=
$$\pi$$
=
3.14159265358979
$$y_{13} = 0$$
=
$$0$$
=
$$z_{13} = 0$$
=
$$0$$
=
=
$$0$$
=
0
$$z_{13} = 0$$
=
$$0$$
=
0
$$y_{14} = 0$$
=
$$0$$
=
$$z_{14} = \pi$$
=
$$\pi$$
=
=
$$0$$
=
0
$$z_{14} = \pi$$
=
$$\pi$$
=
3.14159265358979
$$y_{15} = \pi$$
=
$$\pi$$
=
$$z_{15} = 0$$
=
$$0$$
=
=
$$\pi$$
=
3.14159265358979
$$z_{15} = 0$$
=
$$0$$
=
0
$$y_{16} = \pi$$
=
$$\pi$$
=
$$z_{16} = \pi$$
=
$$\pi$$
=
=
$$\pi$$
=
3.14159265358979
$$z_{16} = \pi$$
=
$$\pi$$
=
3.14159265358979
$$z_{17} = \frac{\pi}{2}$$
=
$$\frac{\pi}{2}$$
=
$$x_{17} = 0$$
=
$$0$$
=
$$y_{17} = 0$$
=
$$0$$
=
=
$$\frac{\pi}{2}$$
=
1.57079632679490
$$x_{17} = 0$$
=
$$0$$
=
0
$$y_{17} = 0$$
=
$$0$$
=
0
$$z_{18} = \frac{3 \pi}{2}$$
=
$$\frac{3 \pi}{2}$$
=
$$x_{18} = 0$$
=
$$0$$
=
$$y_{18} = 0$$
=
$$0$$
=
=
$$\frac{3 \pi}{2}$$
=
4.71238898038469
$$x_{18} = 0$$
=
$$0$$
=
0
$$y_{18} = 0$$
=
$$0$$
=
0
$$z_{19} = \frac{\pi}{2}$$
=
$$\frac{\pi}{2}$$
=
$$x_{19} = 0$$
=
$$0$$
=
$$y_{19} = \pi$$
=
$$\pi$$
=
=
$$\frac{\pi}{2}$$
=
1.57079632679490
$$x_{19} = 0$$
=
$$0$$
=
0
$$y_{19} = \pi$$
=
$$\pi$$
=
3.14159265358979
$$z_{20} = \frac{3 \pi}{2}$$
=
$$\frac{3 \pi}{2}$$
=
$$x_{20} = 0$$
=
$$0$$
=
$$y_{20} = \pi$$
=
$$\pi$$
=
=
$$\frac{3 \pi}{2}$$
=
4.71238898038469
$$x_{20} = 0$$
=
$$0$$
=
0
$$y_{20} = \pi$$
=
$$\pi$$
=
3.14159265358979
$$z_{21} = \frac{\pi}{2}$$
=
$$\frac{\pi}{2}$$
=
$$y_{21} = \frac{\pi}{2}$$
=
$$\frac{\pi}{2}$$
=
$$x_{21} = \frac{\pi}{2}$$
=
$$\frac{\pi}{2}$$
=
=
$$\frac{\pi}{2}$$
=
1.57079632679490
$$y_{21} = \frac{\pi}{2}$$
=
$$\frac{\pi}{2}$$
=
1.57079632679490
$$x_{21} = \frac{\pi}{2}$$
=
$$\frac{\pi}{2}$$
=
1.57079632679490
$$z_{22} = \frac{3 \pi}{2}$$
=
$$\frac{3 \pi}{2}$$
=
$$y_{22} = \frac{\pi}{2}$$
=
$$\frac{\pi}{2}$$
=
$$x_{22} = \frac{\pi}{2}$$
=
$$\frac{\pi}{2}$$
=
=
$$\frac{3 \pi}{2}$$
=
4.71238898038469
$$y_{22} = \frac{\pi}{2}$$
=
$$\frac{\pi}{2}$$
=
1.57079632679490
$$x_{22} = \frac{\pi}{2}$$
=
$$\frac{\pi}{2}$$
=
1.57079632679490
$$z_{23} = \frac{\pi}{2}$$
=
$$\frac{\pi}{2}$$
=
$$y_{23} = \frac{3 \pi}{2}$$
=
$$\frac{3 \pi}{2}$$
=
$$x_{23} = \frac{\pi}{2}$$
=
$$\frac{\pi}{2}$$
=
=
$$\frac{\pi}{2}$$
=
1.57079632679490
$$y_{23} = \frac{3 \pi}{2}$$
=
$$\frac{3 \pi}{2}$$
=
4.71238898038469
$$x_{23} = \frac{\pi}{2}$$
=
$$\frac{\pi}{2}$$
=
1.57079632679490
$$z_{24} = \frac{3 \pi}{2}$$
=
$$\frac{3 \pi}{2}$$
=
$$y_{24} = \frac{3 \pi}{2}$$
=
$$\frac{3 \pi}{2}$$
=
$$x_{24} = \frac{\pi}{2}$$
=
$$\frac{\pi}{2}$$
=
=
$$\frac{3 \pi}{2}$$
=
4.71238898038469
$$y_{24} = \frac{3 \pi}{2}$$
=
$$\frac{3 \pi}{2}$$
=
4.71238898038469
$$x_{24} = \frac{\pi}{2}$$
=
$$\frac{\pi}{2}$$
=
1.57079632679490
$$z_{25} = \frac{\pi}{2}$$
=
$$\frac{\pi}{2}$$
=
$$x_{25} = \pi$$
=
$$\pi$$
=
$$y_{25} = 0$$
=
$$0$$
=
=
$$\frac{\pi}{2}$$
=
1.57079632679490
$$x_{25} = \pi$$
=
$$\pi$$
=
3.14159265358979
$$y_{25} = 0$$
=
$$0$$
=
0
$$z_{26} = \frac{3 \pi}{2}$$
=
$$\frac{3 \pi}{2}$$
=
$$x_{26} = \pi$$
=
$$\pi$$
=
$$y_{26} = 0$$
=
$$0$$
=
=
$$\frac{3 \pi}{2}$$
=
4.71238898038469
$$x_{26} = \pi$$
=
$$\pi$$
=
3.14159265358979
$$y_{26} = 0$$
=
$$0$$
=
0
$$z_{27} = \frac{\pi}{2}$$
=
$$\frac{\pi}{2}$$
=
$$x_{27} = \pi$$
=
$$\pi$$
=
$$y_{27} = \pi$$
=
$$\pi$$
=
=
$$\frac{\pi}{2}$$
=
1.57079632679490
$$x_{27} = \pi$$
=
$$\pi$$
=
3.14159265358979
$$y_{27} = \pi$$
=
$$\pi$$
=
3.14159265358979
$$z_{28} = \frac{3 \pi}{2}$$
=
$$\frac{3 \pi}{2}$$
=
$$x_{28} = \pi$$
=
$$\pi$$
=
$$y_{28} = \pi$$
=
$$\pi$$
=
=
$$\frac{3 \pi}{2}$$
=
4.71238898038469
$$x_{28} = \pi$$
=
$$\pi$$
=
3.14159265358979
$$y_{28} = \pi$$
=
$$\pi$$
=
3.14159265358979
$$z_{29} = \frac{\pi}{2}$$
=
$$\frac{\pi}{2}$$
=
$$y_{29} = \frac{\pi}{2}$$
=
$$\frac{\pi}{2}$$
=
$$x_{29} = \frac{3 \pi}{2}$$
=
$$\frac{3 \pi}{2}$$
=
=
$$\frac{\pi}{2}$$
=
1.57079632679490
$$y_{29} = \frac{\pi}{2}$$
=
$$\frac{\pi}{2}$$
=
1.57079632679490
$$x_{29} = \frac{3 \pi}{2}$$
=
$$\frac{3 \pi}{2}$$
=
4.71238898038469
$$z_{30} = \frac{3 \pi}{2}$$
=
$$\frac{3 \pi}{2}$$
=
$$y_{30} = \frac{\pi}{2}$$
=
$$\frac{\pi}{2}$$
=
$$x_{30} = \frac{3 \pi}{2}$$
=
$$\frac{3 \pi}{2}$$
=
=
$$\frac{3 \pi}{2}$$
=
4.71238898038469
$$y_{30} = \frac{\pi}{2}$$
=
$$\frac{\pi}{2}$$
=
1.57079632679490
$$x_{30} = \frac{3 \pi}{2}$$
=
$$\frac{3 \pi}{2}$$
=
4.71238898038469
$$z_{31} = \frac{\pi}{2}$$
=
$$\frac{\pi}{2}$$
=
$$y_{31} = \frac{3 \pi}{2}$$
=
$$\frac{3 \pi}{2}$$
=
$$x_{31} = \frac{3 \pi}{2}$$
=
$$\frac{3 \pi}{2}$$
=
=
$$\frac{\pi}{2}$$
=
1.57079632679490
$$y_{31} = \frac{3 \pi}{2}$$
=
$$\frac{3 \pi}{2}$$
=
4.71238898038469
$$x_{31} = \frac{3 \pi}{2}$$
=
$$\frac{3 \pi}{2}$$
=
4.71238898038469
$$z_{32} = \frac{3 \pi}{2}$$
=
$$\frac{3 \pi}{2}$$
=
$$y_{32} = \frac{3 \pi}{2}$$
=
$$\frac{3 \pi}{2}$$
=
$$x_{32} = \frac{3 \pi}{2}$$
=
$$\frac{3 \pi}{2}$$
=
=
$$\frac{3 \pi}{2}$$
=
4.71238898038469
$$y_{32} = \frac{3 \pi}{2}$$
=
$$\frac{3 \pi}{2}$$
=
4.71238898038469
$$x_{32} = \frac{3 \pi}{2}$$
=
$$\frac{3 \pi}{2}$$
=
4.71238898038469
Respuesta numérica
[src]
x1 = -1.570796326794897 y1 = -1.570796326794897 z1 = -1.570796326794897
x2 = -1.570796326794897 y2 = -1.570796326794897 z2 = 1.570796326794897
x3 = -1.570796326794897 y3 = 1.570796326794897 z3 = 1.570796326794897
x4 = 1.570796326794897 y4 = 1.570796326794897 z4 = 1.570796326794897
x4 = 1.570796326794897 y4 = 1.570796326794897 z4 = 1.570796326794897