Show that the graph of the curve with parametric equations
$\displaystyle
x=cost sin4t
$
$\displaystyle
y=sint sin4t
$
$\displaystyle
z=cos4t
$
lies on the surface of the sphere
$\displaystyle
x^2+y^2+z^2=1
$
Any help will be greatly appreciated!
Show that the graph of the curve with parametric equations
$\displaystyle
x=cost sin4t
$
$\displaystyle
y=sint sin4t
$
$\displaystyle
z=cos4t
$
lies on the surface of the sphere
$\displaystyle
x^2+y^2+z^2=1
$
Any help will be greatly appreciated!