Venomblast
i need one last help
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koda10
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|dw:1355995034204:dw|
Venomblast
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2sin(theta)^2+square root of 3 times sine (theta)=0
hartnn
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\(2\sin^2 x+\sqrt{3sin x}=0\)
right ?>
Venomblast
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for some reason tis site is not letting use the equation button
waterineyes
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\[2 \sin^2(\theta) + \sqrt{3 \cdot \sin(\theta)} = 0\]
waterineyes
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Reload your page.
Venomblast
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\[2sine(\theta)^{2}+\sqrt{3}sine(\theta)=0\] i got for theta 0, 180, and 300
hartnn
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sin x(2sin x+sqrt 3)=0
sin x = 0 ---- > x=0,180,360
sin x =-sqrt 3/2 ----> x=.... ?
Venomblast
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what? i am, lost
Venomblast
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i got -60
waterineyes
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\[\sin x(2\sin x+\sqrt{ 3})=0\]
Here just put the factors equal to 0 separately..
Venomblast
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0 and 360 is the same exaxt degree. there suppose to be 4 solutions
waterineyes
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\[\sin(-60) = - \frac{\sqrt{3}}{2}\]
Yes you are right..
Venomblast
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then you add 360. you get back to 300.
hartnn
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yes, u get 2 solutions for sin x = -sqrt 3/2
waterineyes
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Generally you can find them using :
\[x = n \pi + (-1)^n y\]
Venomblast
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whar are the 2 solution? i only can get 3. how u get the 4th one?"
waterineyes
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See here :
\[\sin(x) = \sin(-\frac{\pi}{3})\]
waterineyes
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So :
According to that general form :
\[x = n \pi + (-1)^n (-\frac{\pi}{3})\]
waterineyes
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Now, here n is an integer, you can put n = 1, 2,3 etc or you can put -1, -2 -3 etc.. To find the required solution..
Venomblast
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i domt see anything o.o
waterineyes
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For example :
Put n = 0 here :
\[x = - \frac{\pi}{3}\]
waterineyes
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Again refresh your page so see here LATEX..
Venomblast
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i did
Venomblast
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man i onmly got 3 degrees
waterineyes
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What you got as your solutions tell me?
Venomblast
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0, 180 and 300
waterineyes
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Wait, put n= 2 there and tell me what are you getting??
waterineyes
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Is there any range given to you in which you are to find these solutions??
Like 0 to 360..
waterineyes
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Are you not getting 240 as one of its solutions?
waterineyes
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Not interested in replying ?? @Venomblast
Venomblast
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that what im looking for. i got 0 which is the same as 360 degrees and 180
Venomblast
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openstudy didnt want to put up my post for like 8 min
waterineyes
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Is there any range in which you are to find the solutions or not??
Venomblast
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can you tell me the solution. im so sleepy. i dont know the answer and i really want ot know but it 5:06 am
waterineyes
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Yes I am telling you the answer..
Venomblast
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then what is it?
waterineyes
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So, when you will wake up and come on openstudy next time, answer I will tell you then definitely..
So sleep well...
Venomblast
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just tell me. i have to hand this in.
waterineyes
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I do not have power to tell you the answer only..
I have given you the formula above just put up the values of n there you will surely have your answer..
Venomblast
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im not use to thqt formula. you learn it differently from me
waterineyes
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Sorry, if you want help then I can help you..
So, try to understand what I am saying to you..
waterineyes
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I agree I have studied it different from you...
But what is the problem you are facing in using the formula, tell me..
waterineyes
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See, if you do it now on your own, then next time you need not to ask it from anybody..
So, keep it up and solve it, I know you can do..
When problem you will face, then let me know..
Venomblast
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i dont understand it
Venomblast
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i did do it on my own. dude. i got 3 answes out of 4.i havnt slept yet and my next class is at 8 am
waterineyes
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I am just saying you to just put n = 2 here :
\[x = n \pi + (-1)^n (- \frac{\pi}{3})\]
waterineyes
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See, if your next class is at 8 am, then it is not my fault..
I can't do anything in this...
Venomblast
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i never seen this formula in my life.
waterineyes
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But you will see surely and soon..
Venomblast
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how do u know. i leanr it differenltly. i cutally have to draw the circle
waterineyes
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See, I tell you how you got 300 there :
Put n= 2 here :
\[x = (2) \pi + (-1)^2 (-\frac{\pi}{3})\]
\[x = 2\pi - \frac{\pi}{3} \implies \color{red}{x = \frac{5 \pi}{3} = 300}\]
waterineyes
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Now, simply put n = 1 in the formula to get the required solution..
Venomblast
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woa.. but i told you already. i already got 300 as my asnwer|dw:1355998903609:dw|
waterineyes
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Nice answer..
Well Done..
Venomblast
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woa.. but i told you already. i already got 300 as my asnwer
Venomblast
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this website need to be better
hba
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@waterineyes
Good for nothing.
Ha Ha Ha...
waterineyes
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I just showed you, mathematically How you got 300..
Venomblast
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ok. but how you get the rest. i just need 1 more degree
waterineyes
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Dear, put n = 1 there in the formula..
Why aren't you plugging n = 1 there ??
Venomblast
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bnut that will jsut get me 300no?
hba
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@waterineyes
You are not helping
Ha Ha Ha,...
waterineyes
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No, that will not give you 300..
Try that once.
waterineyes
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Yeah..
But I am still trying..
waterineyes
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He has done everything, but he does not want to put n = 1 there..
hba
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\[x = (2) \pi + (-1)^2 (-\frac{\pi}{3})\]
put n=1
@Venomblast
Venomblast
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2pi/3
waterineyes
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\[x = (1) \pi + (-1)^1 (-\frac{\pi}{3})\]
Venomblast
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-2pi/3
waterineyes
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\[x = \pi + \frac{\pi}{3} = ??\]
hba
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4/3 pi *
waterineyes
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Nice @hba
\[\frac{4 \pi}{3} = ??\]
hba
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4*180/3=
Venomblast
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i need the degree. not the redian.
Venomblast
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nvm i will just ask someon eelse.
hba
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240 degree.
waterineyes
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I am just saying convert that radian into degrees..
Venomblast
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that maa work. why cant u justuse the circle.
waterineyes
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I think, @hba is more helpful than me..
hba
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@Venomblast
what ?
hba
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@waterineyes
I am useless lol :D
Not helpful :P
Venomblast
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how u got 240. did you add 180 or something? becuase it has to be in quad 3 right. but how?
waterineyes
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See :
\[\frac{\pi}{3} = 60\]
Right ??
Venomblast
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i had -60. so i added 360. and i got 300 degrees. so now how did you get 240?
hba
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It is in 3rd quad.
|dw:1356000009002:dw|
Venomblast
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sorry i dont use radians to figure this problem. i told u . i use the actualt cricle
Venomblast
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|dw:1356000136227:dw| but how you got 240?
waterineyes
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simple buddy..
300 - 60 = 240.
Ha ha ha ha @hba
waterineyes
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Tell me sine is negative in which quadrants??
hba
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@waterineyes
Let me summarize trig
Ha Ha Ha...
hba
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|dw:1356008695751:dw|
Aryang
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|dw:1356009445331:dw|
amistre64
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wow, that was almost too painful to read ;)
hba
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@amistre64
lol :P