The Letters X and Y Represent Rectangular Coordinates $$x ^ { 2 } + 4 y ^ { 2 } = 4$$

question 244

Multiple Choice

The letters x and y represent rectangular coordinates. Write the equation using polar coordinates (r, θ) .
- $$x ^ { 2 } + 4 y ^ { 2 } = 4$$

• A) \(4 \cos ^ { 2 } \theta + \sin ^ { 2 } \theta = 4 \mathrm { r }\)
• B) \(\cos ^ { 2 } \theta + 4 \sin ^ { 2 } \theta = 4 \mathrm { r }\)
• C) \(r ^ { 2 } \left( \cos ^ { 2 } \theta + 4 \sin ^ { 2 } \theta \right) = 4\)
• D) \(\mathrm { r } ^ { 2 } \left( 4 \cos ^ { 2 } \theta + \sin ^ { 2 } \theta \right) = 4\)

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