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) $e = \frac { 1 } { 2 }$

Question

Quizplus · Accepted Answer

The given equation can be rewritten in the form of a conic section. By simplifying and comparing with the standard form of a conic section, it can be determined that the eccentricity $e = 1$, indicating a parabola.

Find the Eccentricity r=csc⁡θ(csc⁡θ+cot⁡θ)r = \csc \theta ( \csc \theta + \cot \theta )r=cscθ(cscθ+cotθ)

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