What central angle, measured in degrees, corresponds to a distance around the unit circle of
What other angles will take you to the same point on the circle?
Make a sketch of the unit circle showing the resulting right triangle.
, cos and tan exactly.
What number of degrees is equivalent to
If you can't remember, calculate.
Now multiply the angle by 7.
The distance around the unit circle is 2π, no matter what point you start from.
The angle you are working with, 420°, is more than 360°. How much more?
Notice that the triangle formed is a 30°-60°-90° triangle.