Find a Cartesian equation relating x and y corresponding to the parametric equations
x=5sin(5t)y=9cos(5t)
Write your answer in the form
P(xy)=0
where P(xy) is a polynomial in x and y such that the coefficient of y^2 is 25.

Question

Find a Cartesian equation relating x and y corresponding to the parametric equations
x=5sin(5t)y=9cos(5t)
Write your answer in the form
P(xy)=0
where P(xy) is a polynomial in x and y such that the coefficient of y^2 is 25.

anonymous · Answer

Hint: It's an ellipse.

anonymous · Answer

I found that when I looked at the graph but the part that confuses me is when it says the coefficient on y^2 is 25

anonymous · Answer

So you have$$
ax^2+25y^2=c
$$

anonymous · Answer

Meaning you probably want $a=9^2=81$

anonymous · Answer

That leaves you with $c=(25)(81)$

anonymous · Answer

Ok thanks that helped with the question.