So, I'm having a bit of trouble trying to grasp this concept. I understand that a circular function like cosine is a ratio of two sides of a triangle in reference to an angle, however, one of my problems is this: Given that line BN is tangent to the Unit Circle at the Y-Axis and the line AT is tangent to the Unit Circle at the X-Axis, and P(coss,sins) is a point in quadrant one, prove that AT = tans
My first instinct was to say this: AT is the line opposite of theta. If O is the origin then tans = AT/OA But that really doesn't help me-- tangent is a function that returns the ration of the opposite side and the adjacent side of a triangle, so how could that ratio ever have the same length of the line it's using -- unless the ratio was one to one? I'm not really sure how I should even think about this problem... any help would be appreciated, thanks!