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Mathematics 17 Online
OpenStudy (anonymous):

Graph the function in the interval from 0 to 2pi

OpenStudy (anonymous):

OpenStudy (anonymous):

@UsukiDoll

OpenStudy (anonymous):

@satellite73

OpenStudy (anonymous):

@oleg3321

OpenStudy (oleg3321):

ehh idk how to do this one :( sorry

OpenStudy (anonymous):

Ok thanks :)

OpenStudy (anonymous):

@Michele_Laino

OpenStudy (anonymous):

OpenStudy (anonymous):

OpenStudy (anonymous):

OpenStudy (anonymous):

OpenStudy (anonymous):

Are my options

OpenStudy (michele_laino):

we can rewrite your function as follows: \[y - 2 = 2\cos \left( {x + \frac{\pi }{6}} \right)\]

OpenStudy (anonymous):

how do we graph it from there?

OpenStudy (michele_laino):

now I make this traslation of the x,y-plane: \[\left\{ \begin{gathered} Y = y - 2 \hfill \\ X = x + \frac{\pi }{6} \hfill \\ \end{gathered} \right.\] where X and Y are the new coordinates

OpenStudy (michele_laino):

using those coordintes, we can rewrite your function as below: \[Y = 2\cos X\]

OpenStudy (michele_laino):

am I right?

OpenStudy (anonymous):

I think so. Which graph would work best?

OpenStudy (michele_laino):

the graph of the function: \[Y = 2\cos X\] is: |dw:1436508552379:dw|

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