Question
(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 the parameter increases.$$x=\csc t, \quad y=\cot t, \quad 0<t<\pi$$
Step 1
We are given that $x=\csc t$ and $y=\cot t$. We know that $\csc t$ is the reciprocal of $\sin t$ and $\cot t$ is the reciprocal of $\tan t$ which is $\frac{\cos t}{\sin t}$. Show more…
Show all steps
Your feedback will help us improve your experience
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
(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 the parameter increases. $x=\sin t, \quad y=\csc t, \quad 0< t<\pi / 2$
Parametric Equations and Polar Coordinates
Curves Defined by Parametric Equations
(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 = \sin t $, $ \quad y = \csc t $, $ \quad 0 \leqslant t \leqslant \pi/2 $
(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 the parameter increases. $$x=\sin t, \quad0 < t < \pi / 2$$
Functions and Models
Parametric Curves
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD