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Math Help - Solving equation involving cosec/sec in given interval

  1. #1
    LHS
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    Exclamation Solving equation involving cosec/sec in given interval



    Hi, having a little trouble with this trig question. Keep getting tanx= 1/2
    When x infact = 0, 30, 150, 360!

    Its probably something stupid i've missed, any help would be greatly appreciated!
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  2. #2
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    Nice job factoring.

    Once you got to this stage:

    csc(x) = 2
    sec(x) = 1

    it is time to solve for your x values.

    For which degrees is csc(x) = 2 ?

    Also, for which degrees is sec(x) = 1 ?
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  3. #3
    LHS
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    Ah, I see, so then you solve those getting you your answers of 0, 360, 30, and 150.
    Great!

    So why is my way wrong? Because I can't see how its mathematically incorrect. It clearly is though.
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  4. #4
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    Your method involved trying to get one x value from two equations with their own distinct x-values.

    You set up an equality that assumed that both the x values were the same, which is not correct.
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  5. #5
    LHS
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    I see, I thought as they were in the same equation they were the same. But now I see you solve it like a quadratic! Cheers, that's really helped alot!
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