Convert the rectangular equation to polar form. Assume $a 0$ $y = - 6$
A) $r = - 6 \sec \theta$
B) $r = - 6 \csc \theta$
C) $r = - \csc \theta$
D) $r = - 6 \cos \theta$
E) $r = - 6 \sin \theta$

Question

Convert the rectangular equation to polar form. Assume $a > 0$ $y = - 6$ 
A) $r = - 6 \sec \theta$
B) $r = - 6 \csc \theta$
C) $r = - \csc \theta$
D) $r = - 6 \cos \theta$
E) $r = - 6 \sin \theta$

Quizplus · Accepted Answer

The equation $y = -6$ in rectangular coordinates can be converted to polar coordinates using the relationship $y = r\sin\theta$. Substituting $y$ with $-6$, we get $-6 = r\sin\theta$, which simplifies to $r = -6\csc\theta$, making option B the correct conversion.

Convert the Rectangular Equation to Polar Form a>0a > 0a>0 y=−6y = - 6y=−6

Convert the Rectangular Equation to Polar Form $a > 0$ $y = - 6$