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The "Far Arc Near Arc theorem" is used in finding the angle measures of a secant.
yes
Sometimes
The tangent secant angle is the angle between the tangent to a circle and the secant, when the latter is extended.
Secant is a trignometric function. In a right triangle, the secant of an angle is the hypotenuse over the adjacent side. It is also the inverse of cosine. For example secant(x) = 1/cos(x)