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anonymous
 one year ago
Graph the function in the interval from 0 to 2pi
anonymous
 one year ago
Graph the function in the interval from 0 to 2pi

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ehh idk how to do this one :( sorry

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.1we can rewrite your function as follows: \[y  2 = 2\cos \left( {x + \frac{\pi }{6}} \right)\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0how do we graph it from there?

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.1now I make this traslation of the x,yplane: \[\left\{ \begin{gathered} Y = y  2 \hfill \\ X = x + \frac{\pi }{6} \hfill \\ \end{gathered} \right.\] where X and Y are the new coordinates

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.1using those coordintes, we can rewrite your function as below: \[Y = 2\cos X\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I think so. Which graph would work best?

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.1the graph of the function: \[Y = 2\cos X\] is: dw:1436508552379:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Do you think graph B is the best fit?

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.1now we have to refer that graphys to our old coordinates x,y

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.1in order to do that, we note that the origin of the X,Y plane is located at: X=0, and Y=0 so substituting into our transformation formulas, we get: \[\left\{ \begin{gathered} 0 = y  2 \hfill \\ 0 = x + \frac{\pi }{6} \hfill \\ \end{gathered} \right. \Rightarrow \left\{ \begin{gathered} y = 2 \hfill \\ x =  \frac{\pi }{6} \hfill \\ \end{gathered} \right.\]

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.1so here is the requested graph: dw:1436508973906:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i dont have a graph that matches that

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.1more precisely, we have: dw:1436509257926:dw

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.1yes, you have, please look at the third option

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.1now you have to neglect the X,Y reference system of my drawing. What do you get?
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