Replace the polar equation r cos \theta + r sin \theta = 5 with an equivalent Cartesian equation....
Question:
Replace the polar equation {eq}r cos \theta + r sin \theta = 5 {/eq} with an equivalent Cartesian equation. Then identify the graph.
The equivalent Cartesian equation is y = ?
Polar to Cartesian form:
The given polar equation can be easily converted into its equivalent Cartesian form by using the standard conversion formulae, which are given as: {eq}\begin {align*} x = r \cos \theta \ , \ \ \ y = r \sin \theta \end{align*} {/eq}. Therafter, from the Cartesian equation we can identify the graph.
Answer and Explanation: 1
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Given polar equation {eq}r \cos \theta + r \sin \theta = 5.................(1) {/eq}.
To find equivalent Cartesian equation.
We know that,
{eq}...
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Chapter 26 / Lesson 13Learn the definition of coordinate geometry. Along with learning what coordinate geometry is, discover major coordinate geometry formulas and their use.