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WZ
Numerade Educator

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Problem 18 Easy Difficulty

(a) Eliminate the parameter to find a Cartesian equation of the curve.
(b) Sketch the curve and indicate with an arrow the direction in which the curve is traced as parameter increases.

$ x = \tan^2 \theta $, $ \quad y = \sec \theta $, $ \quad -\pi/2 < \theta < \pi/2 $

Answer

(a) $y=\sqrt{1+x}, \quad x \geq 0$
(b) See Graph

Discussion

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JG

Joshua G.

June 8, 2021

Getting the Cartesian equation may come as second nature to you at this point, but just writing out what it is, and not following how you got it, is not helpful.

Video Transcript

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