Re: Polar Plot

• To: mathgroup at smc.vnet.net
• Subject: [mg82773] Re: Polar Plot
• From: Jean-Marc Gulliet <jeanmarc.gulliet at gmail.com>
• Date: Tue, 30 Oct 2007 05:48:17 -0500 (EST)
• Organization: The Open University, Milton Keynes, UK
• References: <fg4dhs\$6dc\$1@smc.vnet.net>

```Miguel wrote:

> How can I to plot a polar expresion in implicit form. For example,
> r^2==3+2*r*Cos[teta]

Try to get an explicit form if possible, then you can use *PolarPLot*.
For instance,

In[1]:= sols = Solve[r^2 == 3 + 2*r*Cos[theta], r]

Out[1]= {{r -> Cos[theta] - Sqrt[3 + Cos[theta]^2]},
{r -> Cos[theta] + Sqrt[3 + Cos[theta]^2]}}

In[2]:= f = r /. sols

Out[2]= {Cos[theta] - Sqrt[3 + Cos[theta]^2],
Cos[theta] + Sqrt[3 + Cos[theta]^2]}

In[3]:= PolarPlot[f, {theta, 0, 2 Pi}]

[...graphic deleted...]

Regards,
--
Jean-Marc

```

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