The parametric curve $(x,y) = (\cos 2t, \cos^2 t),$ for real numbers $t,$ describes a line segment.  Find the length of this line segment.
Question:
The parametric curve $(x,y) = (\cos 2t, \cos^2 t),$ for real numbers $t,$ describes a line segment.  Find the length of this line segment.
Answer:
Let's think step by step.

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\sqrt{5}
The parametric curve $(x,y) = (\cos 2t, \cos^2 t),$ for real numbers $t,$ describes a line segment.  Find the length of this line segment.
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