Final answer:
The ordered pair for the special angle Pi/6 is (cos(Pi/6), sin(Pi/6)), which equals ( √3/2, 1/2 ) when considering its placement on the unit circle.
Step-by-step explanation:
To write the ordered pair for the special angle Pi/6 (which is equivalent to 30 degrees), we need to consider its position on the unit circle. The unit circle is a circle with a radius of 1 centered at the origin (0,0) on a coordinate plane.
For any angle in standard position on the unit circle, the ordered pair is composed of the cosine of the angle as the x-coordinate and the sine of the angle as the y-coordinate. Therefore, the ordered pair for Pi/6 is given by (cos(Pi/6), sin(Pi/6)).
Since cos(Pi/6) = √3/2 and sin(Pi/6) = 1/2, the ordered pair for the angle Pi/6 is ( √3/2, 1/2 ).