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DLS
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\[\LARGE \sqrt{3}\sin \theta\cos \theta=2\]

hartnn
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\(\LARGE (\sqrt{3}/2)\sin \theta(1/2)\cos \theta=2/2
\)

DLS
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you're the man!

hartnn
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now write cos a = \sqrt 3/2 ,sin a =1/2

hartnn
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where a=...?

DLS
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60

DLS
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pi/3

hartnn
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no.

DLS
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oh sorry!!

DLS
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pi/6

hartnn
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sin ... = 1/2 ?

hartnn
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yes.

UsukiDoll
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30 degrees

hartnn
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what is \(cos 30sin \thetasin30 cos \theta=..?\)

DLS
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i messed up u,u

DLS
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sin(AB)

UsukiDoll
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dw:1356774577698:dw

hartnn
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sin [\(\theta\)30] = 1 = sin 90

hartnn
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got that ^ ?

DLS
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i didnt get that diag!
but yes what u said

DLS
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okay got the diag too

hartnn
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so, theta =... ?

UsukiDoll
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I was drawing the triangle with its values 0_0

DLS
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pi/2 right?what else :/

UsukiDoll
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dw:1356774667353:dw

hartnn
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that means , you didn't get this...
sin [θ30] = 1 = sin 90

DLS
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im getting embarassed with so many people viewing this ques lloll

LogicalApple
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We are all curious!

hba
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Interesting question :P

hartnn
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dls, write the step till how much u understood totally.

DLS
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okay

DLS
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why did we interchange the values
cos a = \sqrt 3/2 ,sin a =1/2?
we had sin with sqrt 3/2 and cos with 1/2

hartnn
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when did we have sin with sqrt 3/2 ??
and you can take that also, then u have to use a different formula.

DLS
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ur first post O_O

hartnn
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\(\LARGE (\sqrt{3}/2)\sin \theta(1/2)\cos \theta=2/2\)
\(\LARGE \cos 30\sin \theta\sin 30\cos \theta=1\)
\(\sin(\theta30)=sin 90 \\ \theta =...?\)

DLS
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120?

hartnn
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yes, u got it ?

DLS
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yes..much better when u wrote that together !! and we had less people lol

DLS
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we have only ONE possible value?

DLS
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okay thats obv..thanks! and thanks to the spectators >>

hartnn
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u want general expression ?

DLS
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sure

DLS
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but thats not reqd.i just wanted to know the possible values of theta from 0 to 2pi

hartnn
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then only 120

DLS
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yes..thats it!thanks!