Show that the curve with parametric equations x sin t, y cos t, z sin 2 t is the curve of intersection of the surfaces z x 2 and x 2 y 2 1 Use this fact to help sketch the curve

Question: Show that the curve with parametric equations x = sin t, y = cos t, z = sin 2 t is the curve of intersection

Show that the curve with parametric equations x = sin t, y = cos t, z = sin²t is the curve of intersection of the surfaces z = x² and x² + y² = 1. Use this fact to help sketch the curve.

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