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  • DLS

find theta!

Mathematics
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  • DLS
\[\LARGE \sqrt{3}\sin \theta-\cos \theta=2\]
\(\LARGE (\sqrt{3}/2)\sin \theta-(1/2)\cos \theta=2/2 \)
  • DLS
you're the man!

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Other answers:

now write cos a = \sqrt 3/2 ,sin a =1/2
where a=...?
  • DLS
60
  • DLS
pi/3
no.
  • DLS
oh sorry!!
  • DLS
pi/6
sin ... = 1/2 ?
yes.
30 degrees
what is \(cos 30sin \theta-sin30 cos \theta=..?\)
  • DLS
i messed up u,u
  • DLS
sin(A-B)
|dw:1356774577698:dw|
sin [\(\theta\)-30] = 1 = sin 90
got that ^ ?
  • DLS
i didnt get that diag! but yes what u said
  • DLS
okay got the diag too
so, theta =... ?
I was drawing the triangle with its values 0_0
  • DLS
pi/2 right?what else :/
|dw:1356774667353:dw|
that means , you didn't get this... sin [θ-30] = 1 = sin 90
  • DLS
im getting embarassed with so many people viewing this ques lloll
We are all curious!
  • hba
Interesting question :P
dls, write the step till how much u understood totally.
  • DLS
okay
  • DLS
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
when did we have sin with sqrt 3/2 ?? and you can take that also, then u have to use a different formula.
  • DLS
ur first post O_O
\(\LARGE (\sqrt{3}/2)\sin \theta-(1/2)\cos \theta=2/2\) \(\LARGE \cos 30\sin \theta-\sin 30\cos \theta=1\) \(\sin(\theta-30)=sin 90 \\ \theta =...?\)
  • DLS
120?
yes, u got it ?
  • DLS
yes..much better when u wrote that together !! and we had less people lol
  • DLS
we have only ONE possible value?
  • DLS
okay thats obv..thanks! and thanks to the spectators >>
u want general expression ?
  • DLS
sure
  • DLS
but thats not reqd.i just wanted to know the possible values of theta from 0 to 2pi
then only 120
  • DLS
yes..thats it!thanks!

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