Explain the properties of Tangent

1. Since the two triangles ADE and ABC are similar, then ED / AE = CB / AC. 2. Tangents and right triangles: Just as the sine and cosine can be found as ratios of sides of the right triangles, so the tangentwill use three relations . First is tan A=sin A / cos A. Second is sinA=a/c. Third is cos A=b/c. Dividing a/c by b/c and canceling the cA=a/b. That means is that appear, we conclude that tan the tangent is the opposite divided by the adjacent . 3. A tangent touches a circle exactly one place : Since a tangent touches the circle at exactly one point, and that point must be perpendicular to a radius. 4. The tangent intersects the circle radius at a 90° angle It is only when the line is tangent to the circle that the radius will touch that line exactly one point and at this point the 'tangent' must intersect with radius at a 90° angle.