Shannen M.

asked • 04/11/22

Parametric and Cartesian Equations

Given that x = 3+3cos(t), how would I solve for y?

1 Expert Answer

By:

Mark M. answered • 04/11/22

Tutor
4.9 (954)

Retired math prof. Calc 1, 2 and AP Calculus tutoring experience.

About this tutor ›
About this tutor ›

(3 + 3cost - 3)2 + (y - 9)2 = 9


9cos2t + (y - 9)2 = 9


(y - 9)2 = 9 - 9cos2t


(y - 9)2 = 9(1 - cos2t) = 9sin2t


y - 9 = 3sint


y = 9 + 3sint


Upvote • 1 Downvote
More
Report

Shannen M.

This solution is partially correct, the only thing that changes is the sign. So it'll be y = 9 - sint. I believe it did this because the circle is traced clockwise.
Report

04/11/22

Still looking for help? Get the right answer, fast.

Ask a question for free

Get a free answer to a quick problem.
Most questions answered within 4 hours.

OR

Find an Online Tutor Now

Choose an expert and meet online. No packages or subscriptions, pay only for the time you need.