Question

Convert r times tan theta/ sec theta=2 into rectangular form.

Answer 1

r tanθ secθ = 2
r sinθ = 2cos^2θ
y = 2x^2/(x^2+y^2)
Massage that as you will

Answer 2

Oh, wait. Maybe that / was intentional.
tanθ/secθ = sinθ
so
r sinθ = 2
y = 2