Convert the Rectangular Equation to Polar Form $\left( x ^ { 2 } + y ^ { 2 } \right) ^ { 2 } = 9 \left( x ^ { 2 } - y ^ { 2 } \right)$

question 39

Multiple Choice

Convert the rectangular equation to polar form.Assume r > 1.​ $\left( x ^ { 2 } + y ^ { 2 } \right) ^ { 2 } = 9 \left( x ^ { 2 } - y ^ { 2 } \right)$ ​

• A) \(r ^ { 2 } = 9 \cos 2 \theta\)
• B) \(r ^ { 2 } = 9 \csc 2 \theta\)
• C) \(r ^ { 2 } = 9 \cos \theta\)
• D) \(r ^ { 2 } = 9 \sin 2 \theta\)
• E) \(r ^ { 2 } = 9 \sin \theta\)

---

Definitions:

Dissociation

A psychological process where a person disconnects from their thoughts, feelings, memories, or sense of identity.

Reduced Startle Response

A diminished reaction to sudden, unexpected stimuli, potentially indicative of familiarity, desensitization, or neurological conditions.

Compulsion

An irresistible urge to behave in a certain way, especially against one’s conscious wishes.

Phobia

A profound and unreasonable dread or dislike towards a specific thing.