8 1

Page 1

8.1 Polar Coordinates   

Definition of polar coordinates Relationship between polar and rectangular coordinates Polar equations

Definition of Polar Coordinates

Point O-

pole/origin

Polar

axis-a ray from point O Point P can be assigned as

r

P (r ,  )

is the distance from O to P

is the angle between the

polar axis and segment

Example 1: Plotting points in polar coordinates Plot the points whose polar coordinates are given. a)

b)

 4,  / 6

c)

 2, / 4

  3,3 / 4

Equivalent Polar Points ,

P (r ,  ) P (r ,  2n )

and

P( r ,   (2n  1) )

Example 2: Different Polar coordinates for the Same Point a) Graph the point with polar coordinates

P( 2,  / 6)

.

b) Find two other polar coordinate representations of P with r>0 and two with r<0.

OP


Turn static files into dynamic content formats.

Create a flipbook
Issuu converts static files into: digital portfolios, online yearbooks, online catalogs, digital photo albums and more. Sign up and create your flipbook.