Question

can anyone help with this quesiton? its simmilar to the one i just asked.
suppose that a particles position is described by r(t)=3cos(t)i+5sin(t)j
Give an equation(in the form of a formula involving x and y set equal to 0)whose solutions consist of the path of the particle.
The answer looks like ____________=0
I solved it and got 3cos(arcsin(y/5))-x=0 but it is saying that it is wrong.

Answer 1

It's a ellipse. The x-coordinate is 3cos(t), and the y-coordinate is 5sin(t). So, x^2/9 + y^2/25 = 1.

Answer 2

or x^2/9 + y^2/25 - 1 = 0

Answer 3

huh alright cool ty. the response online was "this answer is equivalent to the one you just submitted." which is kind of frustrating lol

Answer 4

actually why did you say x^2 and not cos^2?

Answer 5

Because it wanted x and y, right?

Answer 6

Why is that frustrating?

Answer 7

right

Answer 8

becasue the website im doing my HW on said it was wrong but that it was also equivilent to the first thing i submitted

Answer 9

Oh. Interesting. So it marked that answer as incorrect then?

Answer 10

ya but the thing you said ended up being right lol idk why ill ask my professor in class tomorrow lol anyway tyvm

Answer 11

Sure, no problem.