Convert the Polar Equation to Rectangular Form $r = 6 \cos 2 \theta$

question 27

Multiple Choice

Convert the polar equation to rectangular form.​ $r = 6 \cos 2 \theta$ ​

• A) \(\left( x ^ { 2 } + y ^ { 2 } \right) ^ { 2 } = 36 \left( x ^ { 2 } - y ^ { 2 } \right) ^ { 2 }\)
• B) \(\left( x ^ { 2 } + y ^ { 2 } \right) ^ { 3 } = 6 \left( x ^ { 2 } - y ^ { 2 } \right) ^ { 3 }\)
• C) \(\left( x ^ { 2 } + y ^ { 2 } \right) ^ { 3 } = 36 \left( x ^ { 2 } - y ^ { 2 } \right) ^ { 3 }\)
• D) \(\left( x ^ { 2 } + y ^ { 2 } \right) ^ { 3 } = 6 \left( x ^ { 2 } - y ^ { 2 } \right) ^ { 2 }\)
• E) \(\left( x ^ { 2 } + y ^ { 2 } \right) ^ { 3 } = 36 \left( x ^ { 2 } - y ^ { 2 } \right) ^ { 2 }\)

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Definitions:

Secondary Amines

Organic compounds where a nitrogen atom is bonded to two carbon atoms, often represented as NHR2, where R denotes organic substituents.

N-Nitrosoamines

Organic compounds containing the functional group NNO, known for their roles as carcinogens.

Major Organic Product

The primary product of an organic reaction that is formed in the greatest yield.

Structure

A fundamental concept in chemistry and biology referring to the arrangement or organization of atoms within a molecule or the arrangement of parts in an organism or an object.