Convert to Rectangular Form...2

[nycmathguy]

Question 9

r = tan θ

Let tan θ = y/x.

r = y/x

r^2 = (y/x)^2

x^2 + y^2 = (y/x)^2

x^2 + y^2 - (y/x)^2 = 0

You say?

 

[MathLover1]

finish
x^2 + y^2 - y^2/x^2= 0.....multiply by x^2
x^2(x^2 + y^2) - y^2= 0.....solve for y

x^2(x^2 + y^2) =y^2

y=sqrt(x^2(x^2 + y^2))

y=x*sqrt(x^2 + y^2)

 

[nycmathguy]

finish
x^2 + y^2 - y^2/x^2= 0.....multiply by x^2
x^2(x^2 + y^2) - y^2= 0.....solve for y

x^2(x^2 + y^2) =y^2

y=sqrt(x^2(x^2 + y^2))

y=x*sqrt(x^2 + y^2)

Do I really need to solve for y?

 

[MathLover1]

I prefer so, looks complete

 

[nycmathguy]

I prefer so, looks complete

So, it's a personal preference not a requirement.