CPM Homework Help : CCA2 Problem 7-64

A $70^\circ$ angle is drawn for you in the unit circle below.
Unit circle, center at origin, labeled, o, with right triangle, whose hypotenuse is segment from the circle center, to point, r, on circle in first quadrant, vertical leg, from r, perpendicular to positive x axis. Central angle, between x axis, & segment, o, r, labeled 70 degrees.

Approximate the coordinates of point $R$ .
Answer (a):
$\left(0.3420, 0.9397\right)$
How could you represent the exact coordinates of point $R$ ?
Answer (b):
$\left(\cos70°, \sin70°\right)$
Show that the Pythagorean Identity works for this angle.
Hint (c):
$\sin^\circθ \cos^\circθ = 1$