Math Help - Show that the graph of the curve y^2+z^2=1 ic centered along the x-axis.?

1. Show that the graph of the curve y^2+z^2=1 ic centered along the x-axis.?

Show that the graph of the curve with parametric equestiond x=t, y=sin5t,z=cos5t lies on the circular cylinder y^2+z^2=1 centered along the x-axis.

How do i go abouts showing this?

2. Show that for every t, the coordinates x, y, z satisfy the equation for the cylinder.