Find a Polar Equation in R And $\theta$ That Has the Same Graph as the Equation in X

question 5

Multiple Choice

Find a polar equation in r and $\theta$ that has the same graph as the equation in x and y. $( x - 8 ) ^ { 2 } + y ^ { 2 } = 64$

• A) \(r = 16 \cos 16 \theta\)
• B) \(r = \cos 16 \theta\)
• C) \(r = 16 \cos \theta\)
• D) \(r = 64 \sec \theta\)
• E) \(r = 16 \sin \theta\)

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Definitions:

Rationalize Denominator

The process of eliminating a radical from the denominator of a fraction by multiplying both the numerator and the denominator by an appropriate quantity.

Rationalize Denominator

The process of eliminating a root from the denominator of a fraction.

Radical Expression

A radical expression is an expression that includes a root symbol, indicating the root of a number or an expression needs to be taken.

Radical Expression

An expression that includes a radical symbol, indicating the root of a number or another expression.