Solved: Prove that and are unit vectors for any angle
Chapter 10, Problem 101(choose chapter or problem)
(a) Use a graphing utility to graph the curve given by
\(x=\frac{1-t^2}{1+t^2},\ \ \ y=\frac{2t}{1+t^2},\ \ \ -20\ \leq\ t\ \leq\ 20\).
(b) Describe the graph and confirm your result analytically.
(c) Discuss the speed at which the curve is traced as t increases from -20 to 20.
Text Transcription:
x=1-t^2 / 1+t^2 , y=2t / 1+t^2 , -20 leq t leq 20
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