Find the points where the line through the origin with slope 12 intersects the unit circle.

tana = 12
a = arctan12
a = 1.488 or a = 1.488 + pi = 4.629
x = cos(1.488) = 0.083 or x = cos(4.629) = -0.083
y = sin(1.488) = 0.997 or y = sin(4.629) = -0.997
The two points are (0.083, 0.997) and (-0.083, -0.997).