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Math Help - Analytic Trigonometry

  1. #1
    Newbie cheet0face's Avatar
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    Analytic Trigonometry

    Even the title sounds scary =/. Well i'm given an equation like: 2cosx + 1 = 0 and it says to solve it. I know that the answer is: (2π/3)+2nπ, (4π/3)+2nπ. (That symbol after the 2 is the letter 'n' followed by the pi sign 'π') I have no idea whatsoever on how to do this. So pretty much any help is appreciated.
    =)

    Edit: And I just realized that there was a trigonometry section right after I posted this so hopefully it will get moved and sorry for the inconvenience.
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  2. #2
    Like a stone-audioslave ADARSH's Avatar
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    2 cos(x) = 1

     <br />
cos(x) = \frac{-1}{2}<br />
    Cosine is negative in 2nd & 3rd quadrant
    --giving x as (2π/3) and (4π/3)
    you were asked the general solution so the values become
    (2π/3)+2nπ, (4π/3)+2nπ (as cos(2π+ y) = cos(y))
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