geometry

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

  • geometry -

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

  • geometry -

    The length AB = tanØ

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