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Math Help - Determine tanx if secx=(sqrt14)/2 and is in the second quadrant

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    Determine tanx if secx=(sqrt14)/2 and is in the second quadrant

    Can someone explain this to me please?

    Determine tanx if secx=(sqrt14)/2 and is in the second quadrant

    How would I approach this because I am confused about the sqrt14 and when I did get tan, it was -0.098etc. or something with that.. if it's negative and decimals, can tanx be correct?
    Last edited by mr fantastic; April 6th 2009 at 04:53 PM. Reason: Added the complete question from the post title.
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    Quote Originally Posted by skeske1234 View Post
    Can someone explain this to me please?

    Determine tanx if secx=(sqrt14)/2 and is in the second quadrant

    How would I approach this because I am confused about the sqrt14 and when I did get tan, it was -0.098etc. or something with that.. if it's negative and decimals, can tanx be correct?
    I would say if sec(x) = sqrt(14)/2 then cos(x) = 2/sqrt(14)

    The Six Trigonometric Functions

    From here you can use sin^2(x)+cos^2(x) = 1

    Subbing in for cos(x) and solving for sin(x) you will get

    sin(x) = sqrt(8)/sqrt(14)

    Now use tan(x) = sin(x)/cos(x)

    This should give tan(x) = sqrt(2), thisanswer is in the 1st quadrant.

    tan is negative in the 2nd quadrant so tan(x) = -sqrt(2)
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