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DLS

find theta!

  • one year ago
  • one year ago

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

    • one year ago
  2. hartnn
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    \(\LARGE (\sqrt{3}/2)\sin \theta-(1/2)\cos \theta=2/2 \)

    • one year ago
  3. DLS
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    you're the man!

    • one year ago
  4. hartnn
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    now write cos a = \sqrt 3/2 ,sin a =1/2

    • one year ago
  5. hartnn
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    where a=...?

    • one year ago
  6. DLS
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    60

    • one year ago
  7. DLS
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    pi/3

    • one year ago
  8. hartnn
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    no.

    • one year ago
  9. DLS
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    oh sorry!!

    • one year ago
  10. DLS
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    pi/6

    • one year ago
  11. hartnn
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    sin ... = 1/2 ?

    • one year ago
  12. hartnn
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    yes.

    • one year ago
  13. UsukiDoll
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    30 degrees

    • one year ago
  14. hartnn
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    what is \(cos 30sin \theta-sin30 cos \theta=..?\)

    • one year ago
  15. DLS
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    i messed up u,u

    • one year ago
  16. DLS
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    sin(A-B)

    • one year ago
  17. UsukiDoll
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    |dw:1356774577698:dw|

    • one year ago
  18. hartnn
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    sin [\(\theta\)-30] = 1 = sin 90

    • one year ago
  19. hartnn
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    got that ^ ?

    • one year ago
  20. DLS
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    i didnt get that diag! but yes what u said

    • one year ago
  21. DLS
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    okay got the diag too

    • one year ago
  22. hartnn
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    so, theta =... ?

    • one year ago
  23. UsukiDoll
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    I was drawing the triangle with its values 0_0

    • one year ago
  24. DLS
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    pi/2 right?what else :/

    • one year ago
  25. UsukiDoll
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    |dw:1356774667353:dw|

    • one year ago
  26. hartnn
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    that means , you didn't get this... sin [θ-30] = 1 = sin 90

    • one year ago
  27. DLS
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    im getting embarassed with so many people viewing this ques lloll

    • one year ago
  28. LogicalApple
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    We are all curious!

    • one year ago
  29. hba
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    Interesting question :P

    • one year ago
  30. hartnn
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    dls, write the step till how much u understood totally.

    • one year ago
  31. DLS
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    okay

    • one year ago
  32. 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

    • one year ago
  33. 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.

    • one year ago
  34. DLS
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    ur first post O_O

    • one year ago
  35. hartnn
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    \(\LARGE (\sqrt{3}/2)\sin \theta-(1/2)\cos \theta=2/2\) \(\LARGE \cos 30\sin \theta-\sin 30\cos \theta=1\) \(\sin(\theta-30)=sin 90 \\ \theta =...?\)

    • one year ago
  36. DLS
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    120?

    • one year ago
  37. hartnn
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    yes, u got it ?

    • one year ago
  38. DLS
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    yes..much better when u wrote that together !! and we had less people lol

    • one year ago
  39. DLS
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    we have only ONE possible value?

    • one year ago
  40. DLS
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    okay thats obv..thanks! and thanks to the spectators >>

    • one year ago
  41. hartnn
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    u want general expression ?

    • one year ago
  42. DLS
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    sure

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

    • one year ago
  44. hartnn
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    then only 120

    • one year ago
  45. DLS
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    yes..thats it!thanks!

    • one year ago
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