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roselin
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explain why the equation cox=x has at least one solution.
 2 years ago
 2 years ago
roselin Group Title
explain why the equation cox=x has at least one solution.
 2 years ago
 2 years ago

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roselin Group TitleBest ResponseYou've already chosen the best response.0
sorry,sorry. its cos x
 2 years ago

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

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

baldymcgee6 Group TitleBest ResponseYou've already chosen the best response.0
http://screencast.com/t/sLkE6Ylvzpk
 2 years ago

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

roselin Group TitleBest ResponseYou've already chosen the best response.0
dw:1351373944681:dw
 2 years ago

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

roselin Group TitleBest ResponseYou've already chosen the best response.0
okay, i will consider the picture that you showed
 2 years ago

zepdrix Group TitleBest ResponseYou've already chosen the best response.1
Yah 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
 2 years ago

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

roselin Group TitleBest ResponseYou've already chosen the best response.0
So which one should I consider now? i have two answers here
 2 years ago

baldymcgee6 Group TitleBest ResponseYou've already chosen the best response.0
Combine 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.
 2 years ago

roselin Group TitleBest ResponseYou've already chosen the best response.0
oh okay, thank you so much guys
 2 years ago

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

latremese40 Group TitleBest ResponseYou've already chosen the best response.0
roelin i think you did it right
 2 years ago
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