lsugano
i want to graph 3csc2x but I dont know how!! can someone help me with steps!??
Delete
Share
This Question is Closed
AravindG
Best Response
You've already chosen the best response.
2
do u knw the graph of cosec x?
Kainui
Best Response
You've already chosen the best response.
0
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.
lsugano
Best Response
You've already chosen the best response.
0
i know that cscx = 1/sinx
lsugano
Best Response
You've already chosen the best response.
0
so if i put that function... 3/sin(2x)?
AravindG
Best Response
You've already chosen the best response.
2
i can help with an alternate solution ..but for that you need to answer my queries
lsugano
Best Response
You've already chosen the best response.
0
the graph of csc ..yes i do know what it is!
Kainui
Best Response
You've already chosen the best response.
0
Find the amplitude and period.
AravindG
Best Response
You've already chosen the best response.
2
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
Best Response
You've already chosen the best response.
2
let me show u how i do that for sin 2x
AravindG
Best Response
You've already chosen the best response.
2
|dw:1355991064248:dw|
AravindG
Best Response
You've already chosen the best response.
2
did you get that ?
lsugano
Best Response
You've already chosen the best response.
0
sin2x makes the half of sinx
AravindG
Best Response
You've already chosen the best response.
2
yep similiar is what happens for cosec 2x
AravindG
Best Response
You've already chosen the best response.
2
its like bending a spring to half its normal position from one side
lsugano
Best Response
You've already chosen the best response.
0
okay!
AravindG
Best Response
You've already chosen the best response.
2
now ...we are 80% over !
lsugano
Best Response
You've already chosen the best response.
0
ok!!
AravindG
Best Response
You've already chosen the best response.
2
well next step is to increase the magnitude of cosec 2x 3 times
lsugano
Best Response
You've already chosen the best response.
0
does that mean the maximum is at 3??
AravindG
Best Response
You've already chosen the best response.
2
think again :)
lsugano
Best Response
You've already chosen the best response.
0
i mean min 3, max3
AravindG
Best Response
You've already chosen the best response.
2
yepp !!
lsugano
Best Response
You've already chosen the best response.
0
okay...so what do i do next?
AravindG
Best Response
You've already chosen the best response.
2
we actually dont need pencil or paper just our mind to visualize this !!
AravindG
Best Response
You've already chosen the best response.
2
we are done !! this is ur graph !!
lsugano
Best Response
You've already chosen the best response.
0
oh yeah!!! omgsh thank you so much!!! wait im gonna do a quick sketch
AravindG
Best Response
You've already chosen the best response.
2
well see hw elegantmethod it is when compared to normal working that we do mechanically (see kainnui's re[ly)
lsugano
Best Response
You've already chosen the best response.
0
|dw:1355991527707:dw|
AravindG
Best Response
You've already chosen the best response.
2
mark angles pls
lsugano
Best Response
You've already chosen the best response.
0
|dw:1355991626300:dw|
lsugano
Best Response
You've already chosen the best response.
0
is it correct?
AravindG
Best Response
You've already chosen the best response.
2
exactlyy !! well done !!
lsugano
Best Response
You've already chosen the best response.
0
Ah thank you so much!!! you're an amzing teacher!!
AravindG
Best Response
You've already chosen the best response.
2
you did it yourself !! cngrts!!
AravindG
Best Response
You've already chosen the best response.
2
remember:always use ur visualization power as the first resort to solve math problems..it really simplifies ur work !! good luck!
Kainui
Best Response
You've already chosen the best response.
0
Yeah, awesome, you're a quick learner Isugano.