NYJC Advanced Graphing Techniques Self-Review 7

NYJC Advanced Graphing Techniques Self-Review 7

Tutorial

A curve \(C\) has parametric equations \(x=\tan \theta +1\), \(y=\sec \theta \).

  1. Find a cartesian equation of \(C\).
  2. Sketch \(C\), giving the coordinates of any points where \(C\) crosses the \(x\)- and \(y\)-axes and the equations of any asymptotes.

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Answer:(a) \(y^2-(x-1)^2=1\); asymptotes \(y=x-1\), \(y=-x+1\)

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