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lsugano

  • 3 years ago

i want to graph 3csc2x but I dont know how!! can someone help me with steps!??

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  1. AravindG
    • 3 years ago
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    do u knw the graph of cosec x?

  2. Kainui
    • 3 years ago
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    One way might be to try rewriting 3csc(2x) as 3/sin(2x). Then from here, mark on your graph where one period should end and where the amplitude should be. Since it's 1/sin it will be "upside down" Look at this picture to give yourself some help along the way so that next time you can see. http://www.wolframalpha.com/input/?i=%203csc(2x)&t=crmtb01 The main points to hit when graphing any trig function are what it looks like at 0, T/4, T/2, 3T/2, and T, since it repeats after that and you can kind of "guess" by filling in the points between where the curve should look like.

  3. lsugano
    • 3 years ago
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    i know that cscx = 1/sinx

  4. lsugano
    • 3 years ago
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    so if i put that function... 3/sin(2x)?

  5. AravindG
    • 3 years ago
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    i can help with an alternate solution ..but for that you need to answer my queries

  6. lsugano
    • 3 years ago
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    the graph of csc ..yes i do know what it is!

  7. Kainui
    • 3 years ago
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    Find the amplitude and period.

  8. AravindG
    • 3 years ago
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    well thats great...now what you need to understand is that the graph of cosec 2x will be same as cosec x only difference is that we have to minimize the graph to t=pi

  9. AravindG
    • 3 years ago
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    let me show u how i do that for sin 2x

  10. AravindG
    • 3 years ago
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    |dw:1355991064248:dw|

  11. AravindG
    • 3 years ago
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    did you get that ?

  12. lsugano
    • 3 years ago
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    sin2x makes the half of sinx

  13. AravindG
    • 3 years ago
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    yep similiar is what happens for cosec 2x

  14. AravindG
    • 3 years ago
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    its like bending a spring to half its normal position from one side

  15. lsugano
    • 3 years ago
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    okay!

  16. AravindG
    • 3 years ago
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    now ...we are 80% over !

  17. lsugano
    • 3 years ago
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    ok!!

  18. AravindG
    • 3 years ago
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    well next step is to increase the magnitude of cosec 2x 3 times

  19. lsugano
    • 3 years ago
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    does that mean the maximum is at 3??

  20. AravindG
    • 3 years ago
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    think again :)

  21. lsugano
    • 3 years ago
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    i mean min 3, max3

  22. AravindG
    • 3 years ago
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    yepp !!

  23. lsugano
    • 3 years ago
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    okay...so what do i do next?

  24. AravindG
    • 3 years ago
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    we actually dont need pencil or paper just our mind to visualize this !!

  25. AravindG
    • 3 years ago
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    we are done !! this is ur graph !!

  26. lsugano
    • 3 years ago
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    oh yeah!!! omgsh thank you so much!!! wait im gonna do a quick sketch

  27. AravindG
    • 3 years ago
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    well see hw elegantmethod it is when compared to normal working that we do mechanically (see kainnui's re[ly)

  28. lsugano
    • 3 years ago
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    |dw:1355991527707:dw|

  29. AravindG
    • 3 years ago
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    mark angles pls

  30. lsugano
    • 3 years ago
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    |dw:1355991626300:dw|

  31. lsugano
    • 3 years ago
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    is it correct?

  32. AravindG
    • 3 years ago
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    exactlyy !! well done !!

  33. lsugano
    • 3 years ago
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    Ah thank you so much!!! you're an amzing teacher!!

  34. AravindG
    • 3 years ago
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    you did it yourself !! cngrts!!

  35. AravindG
    • 3 years ago
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    remember:always use ur visualization power as the first resort to solve math problems..it really simplifies ur work !! good luck!

  36. Kainui
    • 3 years ago
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    Yeah, awesome, you're a quick learner Isugano.

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