Point 9 — Unit circles with simple angles

What do we see?

$\sqrt{2}$ , $\sqrt{3}$ , 60 degrees, 45 degrees, isosceles right triangle inside a circle.

What do we understand?

Read off the special triangle. 30-60-90: x, x $\sqrt{3}$ , 2x. 45-45-90: x, x, x $\sqrt{2}$ . The side opposite 60 degrees carries the $\sqrt{3}$ .

Question 1 of 1

Circle centred at O with point P at (1, root 3)

In the xy-plane above, O is the center of the circle, and the measure of POQ is $\frac{π}{2 a}$ radians. What is the value of a?