(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 $
Added by Lisa E.
Step 1
Recall that $\csc t = \frac{1}{\sin t}$. So, we can write $y = \frac{1}{x}$. Thus, the Cartesian equation of the curve is $\boxed{y = \frac{1}{x}}$. Show more…
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