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anonymous

  • one year ago

Graph the function in the interval from 0 to 2pi

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  1. anonymous
    • one year ago
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  2. anonymous
    • one year ago
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    @UsukiDoll

  3. anonymous
    • one year ago
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    @satellite73

  4. anonymous
    • one year ago
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    @oleg3321

  5. Oleg3321
    • one year ago
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    ehh idk how to do this one :( sorry

  6. anonymous
    • one year ago
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    Ok thanks :)

  7. anonymous
    • one year ago
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    @Michele_Laino

  8. anonymous
    • one year ago
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  9. anonymous
    • one year ago
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  10. anonymous
    • one year ago
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  11. anonymous
    • one year ago
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  12. anonymous
    • one year ago
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    Are my options

  13. Michele_Laino
    • one year ago
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    we can rewrite your function as follows: \[y - 2 = 2\cos \left( {x + \frac{\pi }{6}} \right)\]

  14. anonymous
    • one year ago
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    how do we graph it from there?

  15. Michele_Laino
    • one year ago
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    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

  16. Michele_Laino
    • one year ago
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    using those coordintes, we can rewrite your function as below: \[Y = 2\cos X\]

  17. Michele_Laino
    • one year ago
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    am I right?

  18. anonymous
    • one year ago
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    I think so. Which graph would work best?

  19. Michele_Laino
    • one year ago
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    the graph of the function: \[Y = 2\cos X\] is: |dw:1436508552379:dw|

  20. anonymous
    • one year ago
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    Do you think graph B is the best fit?

  21. Michele_Laino
    • one year ago
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    now we have to refer that graphys to our old coordinates x,y

  22. Michele_Laino
    • one year ago
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    graphic*

  23. Michele_Laino
    • one year ago
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    in 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: \[\left\{ \begin{gathered} 0 = y - 2 \hfill \\ 0 = x + \frac{\pi }{6} \hfill \\ \end{gathered} \right. \Rightarrow \left\{ \begin{gathered} y = 2 \hfill \\ x = - \frac{\pi }{6} \hfill \\ \end{gathered} \right.\]

  24. anonymous
    • one year ago
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    How do i graph that

  25. Michele_Laino
    • one year ago
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    so here is the requested graph: |dw:1436508973906:dw|

  26. anonymous
    • one year ago
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    i dont have a graph that matches that

  27. Michele_Laino
    • one year ago
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    more precisely, we have: |dw:1436509257926:dw|

  28. Michele_Laino
    • one year ago
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    yes, you have, please look at the third option

  29. Michele_Laino
    • one year ago
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    now you have to neglect the X,Y reference system of my drawing. What do you get?

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