Answer
(a) The unit circle is the circle of radius 1 centered at (0, 0) . The equation of the unit circle is $x^2 + y^2 = 1$.
(b) see the diagram below.
(c) P(x, y) = (0, 1)
(d) The reference number is the shortest distance along the unit circle between the terminal point determined by t and the x-axis.
(e) The reference number is $\frac{\pi}{4}$. The terminal point is in Quadrant IV, so $P(x, y) = (\frac{\sqrt 2}{2},-\frac{\sqrt 2}{2})$.
Work Step by Step
see above.
