anonymous
  • anonymous
i want to graph 3csc2x but I dont know how!! can someone help me with steps!??
Mathematics
  • Stacey Warren - Expert brainly.com
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chestercat
  • chestercat
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
AravindG
  • AravindG
do u knw the graph of cosec x?
Kainui
  • Kainui
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.
anonymous
  • anonymous
i know that cscx = 1/sinx

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anonymous
  • anonymous
so if i put that function... 3/sin(2x)?
AravindG
  • AravindG
i can help with an alternate solution ..but for that you need to answer my queries
anonymous
  • anonymous
the graph of csc ..yes i do know what it is!
Kainui
  • Kainui
Find the amplitude and period.
AravindG
  • AravindG
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
AravindG
  • AravindG
let me show u how i do that for sin 2x
AravindG
  • AravindG
|dw:1355991064248:dw|
AravindG
  • AravindG
did you get that ?
anonymous
  • anonymous
sin2x makes the half of sinx
AravindG
  • AravindG
yep similiar is what happens for cosec 2x
AravindG
  • AravindG
its like bending a spring to half its normal position from one side
anonymous
  • anonymous
okay!
AravindG
  • AravindG
now ...we are 80% over !
anonymous
  • anonymous
ok!!
AravindG
  • AravindG
well next step is to increase the magnitude of cosec 2x 3 times
anonymous
  • anonymous
does that mean the maximum is at 3??
AravindG
  • AravindG
think again :)
anonymous
  • anonymous
i mean min 3, max3
AravindG
  • AravindG
yepp !!
anonymous
  • anonymous
okay...so what do i do next?
AravindG
  • AravindG
we actually dont need pencil or paper just our mind to visualize this !!
AravindG
  • AravindG
we are done !! this is ur graph !!
anonymous
  • anonymous
oh yeah!!! omgsh thank you so much!!! wait im gonna do a quick sketch
AravindG
  • AravindG
well see hw elegantmethod it is when compared to normal working that we do mechanically (see kainnui's re[ly)
anonymous
  • anonymous
|dw:1355991527707:dw|
AravindG
  • AravindG
mark angles pls
anonymous
  • anonymous
|dw:1355991626300:dw|
anonymous
  • anonymous
is it correct?
AravindG
  • AravindG
exactlyy !! well done !!
anonymous
  • anonymous
Ah thank you so much!!! you're an amzing teacher!!
AravindG
  • AravindG
you did it yourself !! cngrts!!
AravindG
  • AravindG
remember:always use ur visualization power as the first resort to solve math problems..it really simplifies ur work !! good luck!
Kainui
  • Kainui
Yeah, awesome, you're a quick learner Isugano.

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