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HoaBest ResponseYou've already chosen the best response.1
\[\frac{ 1+\cos3t }{ \sin3t }+\frac{ \sin3t }{ 1+\cos3t }= 2\csc3t\] what do you want? prove it?
 one year ago

skybunnygirlBest ResponseYou've already chosen the best response.0
yes please, im having the hardest time with these questions...
 one year ago

HoaBest ResponseYou've already chosen the best response.1
I give you idea, you do the rest. the first part \[\frac{ 1+\cos3t }{ \sin3t }= \frac{ 1 }{ \sin3t }+ \frac{ \cos3t }{ \sin3t }= \csc 3t + \cot 3t\]
 one year ago

skybunnygirlBest ResponseYou've already chosen the best response.0
ok let me look at it
 one year ago

skybunnygirlBest ResponseYou've already chosen the best response.0
no go, have no idea what is next
 one year ago

ZeboBest ResponseYou've already chosen the best response.0
That is pretty much it. You know what cot(x) is equal to? Also what is csc(x) equal to.
 one year ago

ZeboBest ResponseYou've already chosen the best response.0
what else for cotx? there should be one more
 one year ago

ZeboBest ResponseYou've already chosen the best response.0
now look at the first step, do you see something similar to what you said
 one year ago

skybunnygirlBest ResponseYou've already chosen the best response.0
sorry you lost me...
 one year ago

ZeboBest ResponseYou've already chosen the best response.0
you said cotx = cosx/sinx and you said cscx=1/sinx right?
 one year ago

skybunnygirlBest ResponseYou've already chosen the best response.0
yes and that is what we converted into part of the original problem
 one year ago

HoaBest ResponseYou've already chosen the best response.1
ok I give you mine : from yours , right side = 2/ sin3t. write it out
 one year ago

HoaBest ResponseYou've already chosen the best response.1
now I just prove that left side * sin 2t =2, right? it is easy to do
 one year ago

HoaBest ResponseYou've already chosen the best response.1
\[\sin 3t \left[ \frac{ 1 + cost 3t }{ \sin3t } +\frac{ \sin3t }{ 1 + \cos 3t } \right]\]
 one year ago

HoaBest ResponseYou've already chosen the best response.1
\[= \frac{ \sin 3t + \cos 3t }{ \sin3t }+ \frac{ \sin^2 3t }{ 1 + \cos 3t }\]
 one year ago

skybunnygirlBest ResponseYou've already chosen the best response.0
ok, how did we get from csc3t+cot3t+sin3t/1+cos3t to what you writing now?
 one year ago

HoaBest ResponseYou've already chosen the best response.1
\[= (\frac{ sint }{ \sin3t }+ \frac{ \sin3tcos3t }{ \sin3t }+ \frac{ 1\cos^2 3t }{1+\cos 3t })\]
 one year ago

HoaBest ResponseYou've already chosen the best response.1
\[=1+ \cos 3t + \frac{ (1+\cos3t)(1\cos3t) }{ 1+\cos 3t }\]
 one year ago

HoaBest ResponseYou've already chosen the best response.1
and then you have 1+1 =2. the proof done. is it clear?
 one year ago

HoaBest ResponseYou've already chosen the best response.1
I make the right side2 csc 3t = 2/ sin3t. and then time both sides to sin 3t
 one year ago

HoaBest ResponseYou've already chosen the best response.1
do you get mine? think of it. write out and it will make sense to you.
 one year ago

skybunnygirlBest ResponseYou've already chosen the best response.0
ok let me look at it and see, im still not sure why we did the very first step as we ended up working out the original set up
 one year ago

HoaBest ResponseYou've already chosen the best response.1
our goal is prove the original equation is true, that means you must prove the left side = right side. some equation is not true at all, for example : how can you prove 1+1 =3? fortunately, your problem is prove it true, that means it is true already, just explain in which logic, it is true. done
 one year ago

skybunnygirlBest ResponseYou've already chosen the best response.0
ok, let me work it out on paper and see what I come up with. Thanks for your help.
 one year ago
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