Chapter 10 - Parametric and Polar Curves - 10.2 Polar Coordinates - 10.2 Exercises - Page 729: 30

$$\eqalign{ & y = 3 \cr & {\text{The graph or the curve is the horizontal line }}y = 3 \cr} $$

$$\eqalign{ & r = 3\csc \theta \cr & {\text{Use the reciprocal identity csc}}\theta = \frac{1}{{\sin \theta }} \cr & r = 3\left( {\frac{1}{{\sin \theta }}} \right) \cr & r\sin \theta = 3 \cr & {\text{Where }}r\sin \theta = y.{\text{ So}}{\text{,}} \cr & y = 3 \cr & {\text{The graph or the curve is the horizontal line }}y = 3 \cr} $$