# Math Help - Unit Circle Help

1. ## 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 ???

2. ## Trig Ratios

Hello NeedHelp18
Originally Posted by NeedHelp18
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