What central angle, measured in degrees, corresponds to a distance around the unit circle of
What number of degrees is equivalent to
If you can't remember, calculate.
Now multiply the angle by
What other angles will take you to the same point on the circle?
The distance around the unit circle is
, no matter what point you start from.
Make a sketch of the unit circle showing the resulting right triangle.
The angle you are working with,
, is more than . How much more?
, and exactly.
Notice that the triangle formed is a