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Math Help - Tan on a unit circle

  1. #1
    Junior Member
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    Tan on a unit circle

    Hi again!

    I've solved a trig problem and now I have tanx=pi/3, which i know is equal to \sqrt{3}.

    Im struggling with putting this on a unit circle so I can solve for all of the possible angles. I would appreciate if someone could show me on a unit circle where the possible x's are for this and how i could find out the various angles (of which there are 4).

    Thanks,
    Steven
    Last edited by Stevo_Evo_22; July 2nd 2008 at 09:27 PM.
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  2. #2
    MHF Contributor red_dog's Avatar
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    \displaystyle\tan\frac{\pi}{3}=\sqrt{3}, not \tan\sqrt{3}=\frac{\pi}{3}

    Probably the equation is \tan x=\sqrt{3}
    In this case all solutions are x=\frac{\pi}{3}+k\pi, \ k\in\mathbf{Z}
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  3. #3
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    There are two special triangles you can use to find out the trigonometric ratios of the angles: 30, 45, and 60; the 45-45-90 triangle and the 30-60-90 triangle.

    Special right triangles - Wikipedia, the free encyclopedia
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