CODEWITHSUNDEEP
maple
The Oddler
The Oddler

Reputation: 6718

Maple, converting from polar to cartesian expression?

In Maple I have a polar expression

enter image description here

and I need to convert it to a Cartesian expression. Though the convert function of Maple doesn't seem to have an option for this.

I currently have a by-hand conversion:

enter image description here

Though there has to be a proper automatic version, isn't there?

Thanks!

Upvotes: 1

Views: 1995

Answers (1)

acer
acer

Reputation: 7271

The general mechansisms are,

G:=a+b*I;

                            G := a + I b

H:=convert(G,polar);

              H := polar(|a + I b|, argument(a + I b))

evalc(H);

                               a + I b

So, for your example with given operator specifying the modulus,

r := (theta,a,epsilon) -> a*(1-epsilon^2)/(1+epsilon*cos(theta)):

evalc( polar( r(theta,a,epsilon), theta ) );

      /        2    \                  /        2    \           
    a \-epsilon  + 1/ cos(theta)   I a \-epsilon  + 1/ sin(theta)
    ---------------------------- + ------------------------------
       1 + epsilon cos(theta)          1 + epsilon cos(theta)

Upvotes: 1

Related Questions