Finding a Cartesian equation for an r value

Mar 2013
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USA
How would I find a Cartesian equation for r = 4secx?

Thanks.
 

Soroban

MHF Hall of Honor
May 2006
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6,341
Lexington, MA (USA)
Hello, Shadow236!

\(\displaystyle \text{How would I find a Cartesian equation for: }\: r \,=\, 4\sec\theta\,?\)

I will assume you know the conversion identities.

We have: .\(\displaystyle r \:=\:\frac{4}{\cos\theta} \quad\Rightarrow\quad r\cos\theta \:=\:4 \quad\Rightarrow\quad x \,=\,4\)
 
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