Find the Polar Equation for the Curve Represented by the Given

question 13

Multiple Choice

Find the polar equation for the curve represented by the given Cartesian equation. $x + y = 2$

• A) \(r = 2 ( \cos \theta + \sin \theta )\)
• B) \(r = \frac { 1 } { \cos \theta - \sin \theta }\)
• C) \(r = \frac { 2 } { \cos \theta + \sin \theta }\)
• D) \(r = \frac { 2 } { \cos \theta - \sin \theta }\)
• E) \(r = 1 ( \cos \theta + \sin \theta )\)

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Definitions:

Equation

A formula expressing one mathematical quantity in terms of others, indicating equality under certain conditions.

Equation

An equation is a mathematical statement that asserts the equality of two expressions, typically containing one or more variables.

Center

In geometry, the central point of a circle or sphere, equidistant from all points on the perimeter or surface; in other contexts, it refers to a focal point or main area of activity.

Point

A location in space, often defined by its coordinates in a given dimension.