Question

I am stumped. Change the parametric equation x= 4sin(t) + 2sin(2t) , y = 4cos (t) + 2 cos(2t) to a polar equation. I was thinking eliminate t from the parametric, to make a cartesian, then plug in the polar coordinate conversions. but i cant eliminate t.
i got x^2 + y^2 = 20 + 16 cos (t),

Answer 1

i was thinking we could go from parametric -> cartesian -> polar

Answer 2

but i got as far as that. i did x^2 + y^2 = 20 + 16 cos (t)

Answer 3

after simplifying

Answer 4

but i cant eliminate that t

Answer 5

oh hi guys