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sinh-trigexpand

trigexpand(1/2*(exp(x...

trigexpand(sinh(x));

Calculate

sinh-taylor

exact_sol : 1/xi*sinh...

taylor(exact_sol,phi,...

Calculate

sinh-taylor

f1: (1/r)*sinh(phi*4)...

taylor(f1, phi, 0, 5);

Calculate

sinh-taylor

f1: (1/r)*sinh(phi*4)...

taylor(f1, phi, 0, 5);

Calculate

sinh

sinh(.086820629);

Calculate

sinh-taylor

exact_sol : 1/xi*sinh...

taylor(exact_sol,x,0,4);

Calculate

sinh-taylor

f1: (1/r)*sinh(phi*r)...

taylor(f1, phi, 0, 10);

Calculate

sinh-taylor

c=(1/x)*(sinh(phi*x)/...

taylor(c, phi, 0, 4);

Calculate

sinh

sinh(-x);

Calculate

sinh

Run Example
(%i1)plot2d([parametric, x, sinh(x), [x,-5,5], [nticks,100]]);
plotplot2d([parametric, x, sinh(x), [x,-5,5], [nticks,100]]);
Run Example
x(u,v):=sinh(u)*sinh(v);
(%o1)                     x(u, v) := sinh(u) sinh(v)
(%i2) y(u,v):=sinh(u)*cosh(v);
(%o2)                     y(u, v) := sinh(u) cosh(v)
(%i3) z(u,v):=sinh(u);
(%o3)                         z(u, v) := sinh(u)
(%i4) plot3d([x(u,v),y(u,v),z(u,v)], [u,-2,2], [v,-2,2], [grid,50,20]);
plotplot3d([x(u,v),y(u,v),z(u,v)], [u,-2,2], [v,-2,2], [grid,50,20]);
Run Example
x(u,v):=1/cosh(u)*cos(v);
                                         1
(%o1)                      x(u, v) := ------- cos(v)
                                      cosh(u)
(%i2) y(u,v):=1/cosh(u)*sin(v);
                                         1
(%o2)                      y(u, v) := ------- sin(v)
                                      cosh(u)
(%i3) z(u,v):=1/cosh(u)*sinh(u);
                                        1
(%o3)                     z(u, v) := ------- sinh(u)
                                     cosh(u)
(%i4) plot3d([x(u,v),y(u,v),z(u,v)], [u,-4*%pi,1*%pi], [v,0*%pi,1.5*%pi], [grid,50,20],[palette,get_plot_option(palette,3)]);
plotplot3d([x(u,v),y(u,v),z(u,v)], [u,-4*%pi,1*%pi], [v,0*%pi,1.5*%pi], [grid,50,20],[palette,get_plot_option(palette,3)]);

Related Help

Help for Sinh