A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 4 years ago
explain why the equation cox=x has at least one solution.
anonymous
 4 years ago
explain why the equation cox=x has at least one solution.

This Question is Closed

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0sorry,sorry. its cos x

zepdrix
 4 years ago
Best ResponseYou've already chosen the best response.1Hmm do you remember what the graph for cosine looks like?

baldymcgee6
 4 years ago
Best ResponseYou've already chosen the best response.0I'm pretty sure cos(x) = x only has one solution

zepdrix
 4 years ago
Best ResponseYou've already chosen the best response.1dw:1351373928927:dw This is kind of the idea rose :D At this particular point, the x value and the cosx value are the same.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0dw:1351373944681:dw

zepdrix
 4 years ago
Best ResponseYou've already chosen the best response.1So in your picture, x=pi/2 but cosx = 0 Hmm that point doesn't work so well :c

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0okay, i will consider the picture that you showed

zepdrix
 4 years ago
Best ResponseYou've already chosen the best response.1Yah I can't think of the proper way to explain it :D It probably has something to do with the fact that cosine oscillates back and forth between 1 and 1, and since it is continuous it would have to have a solution :d i dunno... just think about it i guess :3 heh

baldymcgee6
 4 years ago
Best ResponseYou've already chosen the best response.0Since the function y = x has a domain of all real numbers... as is cos(x), there must be a point of intersection somewhere

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0So which one should I consider now? i have two answers here

baldymcgee6
 4 years ago
Best ResponseYou've already chosen the best response.0Combine them... you could say.. Since both y=x and the cosine function have a domain of all real numbers and both are continuous at least one point of intersection is definite.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0oh okay, thank you so much guys

Zarkon
 4 years ago
Best ResponseYou've already chosen the best response.2use the intermediate value theorem

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0roelin i think you did it right
Ask your own question
Sign UpFind 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.