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Math Help - Unit Circle Help

  1. #1
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    Unit Circle Help

    Use the unit circle and the distance fomula to demonstrate that the coordinate of P(pi/6) = (sqrt.(3)/(2), 1/2).


    i dont get how i have to apply the distance formula ???
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  2. #2
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    Trig Ratios

    Hello NeedHelp18
    Quote Originally Posted by NeedHelp18 View Post
    Use the unit circle and the distance fomula to demonstrate that the coordinate of P(pi/6) = (sqrt.(3)/(2), 1/2).


    i dont get how i have to apply the distance formula ???
    \sin\pi/6 = \tfrac{1}{2} can be easily demonstrated by drawing a line of symmetry through an equilateral triangle, thus forming an angle of \pi/6, while bisecting the base of the triangle.

    Thus the y-coordinate of P = \tfrac{1}{2}. Then use the distance formula and the fact that the radius of the unit circle is 1 to find the x-coordinate.

    x^2 + \left(\tfrac{1}{2}\right)^2=1^2

    ...etc

    Grandad
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