True or False: The value of r represents the reference angle when plotting a point in polar coordinates.

The answer to the statement above would be false. The value of r does not represent the reference angle when plotting a point in polar coordinates. Instead, it represents the polar distance instead of the angle. The reference angle is represented by t.

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SociometricStar SociometricStar · Answer 2 · 2019-08-18T08:52:38-04:00

Answer:

False

Step-by-step explanation:

In cartesian coordinates, we represents a point as (x,y).

Whereas, in polar coordinates, we represent a point as \((r,\theta)\)

Here,

\(r=\sqrt{x^2+y^2}\\\\\theta=\tan^{-1}(\frac{y}{x})\)

The term r is the radial distance from origin and the angle Ф is the polar angle.

Therefore, the term r doesn't represent the reference angle when plotting a point in polar coordinates.

Hence, the given statement is false.