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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)
yes
chords and secants are same as secant mean - a line which passes the circle by cutting it at two distinct points chord mean - it is a straight line segment whose endpoint both lie on the circle
Sometimes
The tangent secant angle is the angle between the tangent to a circle and the secant, when the latter is extended.