Draw the unit circle and a first-quadrant ray from the origin that makes an angle theta with the positive x-axis. Let B be the point on this ray whose x-coordinate is 1, and let

Question

A = (1, 0). Segment AB is tangent to the circle. In terms of theta, find its length.

Answer 1

Isn't it just
tanØ = AB/1
tanØ = AB
Ø = arctan(AB) or tan^-1(AB)

Answer 2

The length AB = tanØ