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 ???
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