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Find exact value of cosecant function

  1. Oct 3, 2011 #1
    1. The problem statement, all variables and given/known data

    csc^-1((2sqrt3)/3)


    2. Relevant equations

    csc^-1((2sqrt3)/3) = sin^-1(3/(2sqrt3))


    3. The attempt at a solution

    My Math Lab says I am supposed to use the equivalent sine function, so then I got sin^-1(3/2sqrt3). Then what do I do?
     
    Last edited: Oct 3, 2011
  2. jcsd
  3. Oct 3, 2011 #2

    SammyS

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    Use enough parentheses for this to be correct.

    csc^-1(2sqrt3/3) = sin^-1(3/(2sqrt3))

    Then rationalize the denominator so you can recognize a well-known value of the sine.

    [itex]\displaystyle \frac{3}{2\sqrt{3}}=?[/itex]
     
  4. Oct 3, 2011 #3
    Haha, duh! Thanks.
     
    Last edited: Oct 3, 2011
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