91Ó°ÊÓ

Use the angle feature of a graphing utility to find one set of polar coordinates for the point given in rectangular coordinates. $$ (0,-5) $$

In Exercises \(17-20,\) use a graphing utility to graph the polar equation. Identify the graph. \(r=\frac{-3}{2+4 \sin \theta}\)

Find the points of intersection of the graphs of the equations. $$ \begin{array}{l} r=4 \sin 2 \theta \\ r=2 \end{array} $$

In Exercises \(17-20,\) use a graphing utility to graph the polar equation. Identify the graph. \(r=\frac{-1}{1-\cos \theta}\)

Convert the rectangular equation to polar form and sketch its graph. $$ x^{2}+y^{2}=a^{2} $$

Use a graphing utility to graph the curve represented by the parametric equations (indicate the orientation of the curve). Eliminate the parameter and write the corresponding rectangular equation. $$ \begin{array}{l} x=4+2 \cos \theta \\ y=-1+\sin \theta \end{array} $$

Use a graphing utility to graph the curve represented by the parametric equations (indicate the orientation of the curve). Eliminate the parameter and write the corresponding rectangular equation. $$ \begin{array}{l} x=\sec \theta \\ y=\tan \theta \end{array} $$

Convert the rectangular equation to polar form and sketch its graph. $$ x^{2}+y^{2}-2 a x=0 $$

In Exercises \(17-20,\) use a graphing utility to graph the polar equation. Identify the graph. \(r=\frac{2}{2+3 \sin \theta}\)

Find the points of intersection of the graphs of the equations. $$ \begin{array}{l} r=3+\sin \theta \\ r=2 \csc \theta \end{array} $$