Chap10_Sec3

# Chap10_Sec3 - PARAMETRIC EQUATIONS POLAR COORDINATES 10.3...

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10.3 Polar Coordinates In this section, we will learn: How to represent points in polar coordinates. PARAMETRIC EQUATIONS & POLAR COORDINATES

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POLE, POLAR AXIS, POLAR COORDINATES We choose a point in the plane that is called the pole (or origin) and is labeled O. Then, we draw a ray (half-line) starting at O called the polar axis. This axis is usually drawn horizontally to the right corresponding to the positive x -axis in Cartesian coordinates. If P is any other point in the plane, let: r be the distance from O to P. θ be the angle (usually measured in radians) between the polar axis and the line OP. P is represented by the ordered pair ( r , θ ) . r , θ are called polar coordinates of P . We use the convention that an angle is: Positive—if measured in the counter- clockwise direction from the polar axis. Negative—if measured in the clockwise direction from the polar axis.
CARTESIAN VS. POLAR COORDINATES In the Cartesian coordinate system, every point has only one representation.

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