Help Converting polar plot formula to Cartesian plot formula tia sal2

Discussion in 'Maple' started by temp, Jun 12, 2006.

1. tempGuest

Greetings all

I'm trying to convert a Archimedes' spiral polar plot formula to a
Cartesian plot formula but having some syntax problem.

Here's the polar formula
(plots[polarplot])(t, t = 0 .. 4*Pi, scaling = constrained)

PS: I'm trying to graph both Cartesian and Polar so I can see how the graph
looks over time.

TIA
sal2

temp, Jun 12, 2006

2. Robert IsraelGuest

The spiral r = t has parametric form x = r cos(t) = t cos(t),
y = r sin(t) = t sin(t). So you can make a "cartesian" parametric
plot:

plot([r*cos(t),r*sin(t),t=0..4*Pi]);

Robert Israel
Department of Mathematics http://www.math.ubc.ca/~israel
University of British Columbia Vancouver, BC, Canada

Robert Israel, Jun 13, 2006