Find the Eccentricity $r = \csc \theta ( \csc \theta + \cot \theta )$

Multiple Choice

Find the eccentricity. $r = \csc \theta ( \csc \theta + \cot \theta )$

A) $$e = 4$$
B) $e = \frac { 1 } { 7 }$
C) $$e = 1$$
D) $e = 3$
E) $e = \frac { 1 } { 2 }$