Plotting in Polar Coordinates

Dr. K. G. TeBeest

Example 2: Plot r = sin(3*theta)

A 3-petaled rose.

Note how the petals fill in as the theta range is increased.

Here t is used instead of theta since t is easier to type.

> r:= sin( 3 * t );

r := sin(3*t)

> plot( r, t = 0 .. 1*Pi/6, coords = polar, scaling = constrained, thickness = 2);

[Maple Plot]

> plot( r, t = 0 .. 2*Pi/6, coords = polar, scaling = constrained, thickness = 2);

[Maple Plot]

> plot( r, t = 0 .. 3*Pi/6, coords = polar, scaling = constrained, thickness = 2);

[Maple Plot]

> plot( r, t = 0 .. 4*Pi/6, coords = polar, scaling = constrained, thickness = 2);

[Maple Plot]

> plot( r, t = 0 .. 5*Pi/6, coords = polar, scaling = constrained, thickness = 2);

[Maple Plot]

> plot( r, t = 0 .. 6*Pi/6, coords = polar, scaling = constrained, thickness = 2);

[Maple Plot]


See Example 3
Return to Section 10.3

Dr. K. G. TeBeest
Applied Mathematics
Kettering University