Question

Rewrite in rectangular form: r=6 cos thaeta

Answer 1

To convert a Polar Eqn. r=f(θ) into a Rectangular one y=F(x), we need the following Conversion Formulae :

cosθ=xr,sinθ=yr,r2=x2+y2

Hence, the given polar eqn. r=6 becomes, √x2+y2=6,i.e.,

x2+y2=36, which is the eqn. of a Circle having Centre at the

Origin O(0,0) and radius 6.

Answer 2

r=6 cos thaeta in rectangular form is
x^2 + y^2 = 6x