Answer: Option B.
Step-by-step explanation:
we have that r = 4*θ
(you writted a negative equation, but we can never have a negative radius)
We also have that:
r = √(x^2 + y^2) = 4*θ
We can use the relationship cos(x)^2 + sin(x)^2 = 1
and write X = A*cos(θ) and Y = A*sin(θ)
and now we have:
r = √( (A*cos(θ))^2 + (A*sin(θ))^2) = √(A)^2 = 4*θ
So the correct option is:
x = 4*θ*cos(θ) or -4*θ*cos(θ)
y = 4*θ*sin(θ) or -4*θ*cos(θ)
(We can have the positive or negative options because we are squaring the term, so the sign does not matter)
The correct option then is B
