Thread: Parametric Equations

Thanks to those who realised that I had typed the question wrong... here is the correct version
Please may someone help me solve this question:

A curve is defined by the parametric equations
x = 5 + 2cosθ, y = 3cos2θ

a) Show that dy/dx = 6cosθ
b) Verify that 2(y+3) = 3(x-5)^2 is a cartesian equation for the curve

Thank you so much !

Originally Posted by racheltllong

Please may someone help me solve this question:

A curve is defined by the parametric equations
x = 5 + cos2θ, y = 3cos2θ

a) Show that dy/dx = 6cosθ
b) Verify that 2(y+3) = 3(x-5)^2 is a cartesian equation for the curve

Thank you so much !

Please check your question; what you are asked to show appears not to correspond to the parametric equation given.

This is assuming that the equation is supposed to be:

,

or even:

.

RonL

You seem to have an error in your problem as written. Note that from what you provided:







Hence dy/dx = 3, not

Please make corrections and repost.