Problem 4.1:
If an arc of the unit circle has length
, what is the measure of the central
angle that intercepts that arc?
Problem 4.2:
The coordinates of a point on the unit circle are
(0,
sin(s)). What is the value of
s?
Problem 4.3:
An angle in standard
position intercepts the unit circle at
(x, y). The
arc between (1,0)
and
(x, y) has length
s. Solve for
x and
y in terms of
s.
Problem 4.4:
The $x$-coordinate of a point on the unit circle is
. What are the
possible y-coordinates?
Problem 4.5:
Is the equation for the unit circle a function?
