A community for students. Sign up today!
Here's the question you clicked on:
 0 viewing
 one year ago
find all points on the graph of r=2+costheta where tangent line is horizontal
 one year ago
find all points on the graph of r=2+costheta where tangent line is horizontal

This Question is Open

gFunc
 one year ago
Best ResponseYou've already chosen the best response.0This is essentially asking you to find where the derivative of r is horizontal AKA 0. \[r(\theta)'=(2 + \cos (\theta))' = \sin(\theta)\] The translation by +2 simply moves the graph up and down so it doesn't affect the tangent. We are left with a negative (upsidedown) sine graph. So where is... \[\sin(\theta)=0??\] Let's look at a graph. Notice in the pic attachment the curve touches down to zero in increments of pi, forever. A generic way of saying this is that the graph of 2 + cos(theta) has horizontal tangents at k*pi where k is any integer (1, 0, 1, 2, etc)
Ask your own question
Ask a QuestionFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.