Warren Ray
04/16/2023 · High School
Transform the polar equation to an equation in rectangular coordinates. Then identify and graph the equation.
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To transform a polar equation to rectangular coordinates, we use the relationships between polar and rectangular coordinates:
- \( x = r \cos(\theta) \)
- \( y = r \sin(\theta) \)
- \( r = \sqrt{x^2 + y^2} \)
- \( \tan(\theta) = \frac{y}{x} \)
Please provide the specific polar equation you would like to transform, and I can help you convert it to rectangular coordinates, identify the type of graph it represents, and describe how to graph it.
Quick Answer
Transform a polar equation to rectangular coordinates using \( x = r \cos(\theta) \), \( y = r \sin(\theta) \), \( r = \sqrt{x^2 + y^2} \), and \( \tan(\theta) = \frac{y}{x} \).
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