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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- Mar 23rd 2009, 04:04 PMNeedHelp18Unit 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 ??? - Mar 23rd 2009, 11:24 PMGrandadTrig Ratios
Hello NeedHelp18$\displaystyle \sin\pi/6 = \tfrac{1}{2}$ can be easily demonstrated by drawing a line of symmetry through an equilateral triangle, thus forming an angle of $\displaystyle \pi/6$, while bisecting the base of the triangle.

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

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

...etc

Grandad