Fredyepr
find a cartesian cuestion r=2cos(theta) + 3sin(theta)



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Algebraic!
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x/r = cos(theta)
y/r = sin(theta)
r^2 = x^2 +y^2
have you made those substitutions?

Fredyepr
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help me you please.... with this

Algebraic!
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make those substitutions... tell me what you get...

Fredyepr
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r= 2x/r + 3 y/r ...........> r2=2x+2y .. ...............> x2 + y2= 2x + 3y > x22x3y+y2= 0... is it correct¿?

Algebraic!
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yes

Algebraic!
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you can clean it up a bit by completing the square on both the x and y terms..
eg.:
(x^2 2x) = (x^2 2x +1) 1
= (x1)^2 1

Fredyepr
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what is the best¿?

Algebraic!
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what?

Fredyepr
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ok ok thanks .... can you help with other¿?

Fredyepr
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xy=8

Algebraic!
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just sub.s in x=rcos(theta), y=rsin(theta)

Fredyepr
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rcostheta + rsintheta = 8 ¿?