Section 13.1: Vector Functions and Space Curves

Graph the curve with parametric equations \(x = \sqrt{1-0.25\cos^2 10t}\cos t\) \(y = \sqrt{1-0.25\cos^2 10t}\sin t\) \(z = 0.5\cos 10t\) Explain the appearance of the graph by showing that it lies on a sphere.