Show that the curve with parametric equations x = t cos(t),

Last updated: 7/4/2022

Show that the curve with parametric equations x = t cos(t), y = t sin(t), z = t lies on the cone z² = x² + y². suppose a curve is defined by the parametric equations x = t cos(t), y = t sin(t), z = t; then x²=______x² + y² =_____and z^2=____ thus, x² + y²=(____) (cos²(t)(cos² (t) + sin²(t)) = z², so the curve lies on the cone z² = x² + y².,