A straight line intersecting a curve at two or more points. A secant line is a line that intersects a circle at two points. By Mary Jane Sterling . — two new identities. Geometry. A tangent to a circle is a line that intersects a circle exactly once. Every Book on Your English Syllabus Summed Up in a Quote from The Office; A secant line intersects two or more points on a curve. Figure %: A secant line Previous section Problems Next section Problems. Starting with the Pythagorean identity, sin 2 θ + cos 2 θ = 1, you can derive tangent and secant Pythagorean identities. The length outside the circle, multiplied by the length of the whole secant is equal to the outside length of the other secant multiplied by the whole length of the other secant. (From the Latin tangens "touching", like in the word "tangible".) 2. Take a Study Break. Tangent and Secant Identities on a Unit Circle. The segments AP and DP are secants because they intersect the circle in two points. sec 1. a. If two secants are intersecting inside a circle from a point, then the product of the secant length (A) and exterior part of that segment (B) equals the product of other secant length (C) and exterior part of that segment (D). A tangent line just touches a curve at a point, matching the curve's slope there. Calculate the interior length of a secant segment when two secants intersecting from a point outside the circle. All you do is throw in a little algebra and apply the reciprocal and ratio identities and — poof! There’s a special relationship between two secants that intersect outside of a circle. If a secant segment and tangent segment are drawn to a circle from the same external point, the length of the tangent segment is the geometric mean between the length of the secant segment and the length of the external part of the secant segment. Secant-Secant Power Theorem: If two secants are drawn from an external point to a circle, then the product of the measures of one secant’s external part and that entire secant is equal to the product of the measures of the other secant’s external part and that entire secant. secants synonyms, secants pronunciation, secants translation, English dictionary definition of secants. A line external to a circle, passing through one point on the circle, is a tangent. Secant of a Circle Calculator. A secant is a line that intersects a circle at two points. secant n. Abbr. Every secant line, therefore, contains a chord of the circle it intersects. For instance, in the above figure, 4(4 + 2) = 3(3 + 5) The following problem uses two power theorems: Define secants. It is the ratio of the hypotenuse to the adjacent side and is denoted by Sec x. Secant 1. A secant of a circle is a line connecting two points on the circle. The Lesson: We show circle O below in figure a. See Secant of a circle. 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