If you have the time,
So i want to convert this polar equation to a rectangular form.
Problem1: r= 4cosθ - 4sinθ
I understand the simple conversions like this one:
r/secθ = 3 (divided secθ)
rcosθ = 3 (1/secθ = cosθ)
x = 3 : rcosθ = x (coordinate conversion equations)
but i dont know how to begin with the problem 1
Here are other coordinate conversion equations that might help:
y = rsinθ
r^2 = x^2 + y^2
tanθ = y/x
Oh, with that helpful hint
i'm thinking to use the x=rcosθ and y=rsinθ and r^2 = x^2+y^2
so: x^2 + y^2 = 4x - 4y
then maybe x^2 -4x + y^2 + 4y = 0
I remember an example with my teacher using complete the square? but it was on an equation like x^2 + y^2 = 4x (subtract 4x)
so then it ended up with x^2 -4x +4 +y^2 = 4
so could i do that with both x and y? maybe..
or am i going the wrong direction?