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Solve Trigonometry Equation

  1. Feb 28, 2012 #1
    Find Exact Radian Solution OR to nearest 100th of a radian

    sqrt(3) sec x = -2
     
  2. jcsd
  3. Feb 28, 2012 #2

    Dick

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    You need to at least show an attempt here before anyone can help you. Look at a graph of sec(x).
     
  4. Feb 28, 2012 #3
    well, would the first step be changing it to
    cos x = - (sqrt 3)/2

    ?
     
  5. Feb 29, 2012 #4

    SammyS

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    Yes.

    For what angles is cosine = -(√3)/2 ?
     
  6. Feb 29, 2012 #5
    This is where I get confused...
    it's not ∏/6 right? because it's negative
    so it could be the 5∏/6 ?
    and is that the only answer?
     
  7. Feb 29, 2012 #6

    HallsofIvy

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    Since sine and cosine are periodic with period [itex]2\pi[/itex], no that is not the only solution.
     
  8. Feb 29, 2012 #7
    Oh, would the other solution be 7π/6 +2πn ?
     
  9. Feb 29, 2012 #8

    Dick

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    Right.
     
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