Please Help Me!!! Algebra Question!!!

Question

Convert 6R - 6U to polar form.

(A) 6√2 ∠300º

(B) 6√2 ∠45º

(C) 6∠45º

(D) 6∠225º

(E) None of the above

Answer 1

I assume you mean 6x-6y

r^2=x^2+y^2

r^2=(6^2)+(-6)^2

r^2=36+36

r^2=72

r=√72

r=√(36)(2)

r=6√2

tanθ=-6/6=-1

arctanθ=-1

θ=-45° or θ=315°

(6√2, 315°) is the answer but it is not listed so I would say (E) None of the above