Inscribed angle "V" and whose sides pass through points "A" and "B". Draw line "OA". Angle "BOA" is a central angle; call it "θ". Lines "OV" and "OA" are both radii of the circle, so they have equal lengths. Therefore, triangle "VOA" is isosceles, so angle "BVA" (the inscribed angle) and angle "VAO" are equal; let each of them be denoted as "ψ". Angles "BOA" and "AOV" are supplementary. They add up to 180°, since line "VB" passing through "O" is a straight line. Therefore, angle "AOV" measures 180° − "θ". It is known that the three angles of a triangle add
Hyperbolic angle identities use the number "i" to remove the alternating factor (−1) from terms of the series to restore the full halves of the exponential series. Nevertheless, in the theory of holomorphic functions, the hyperbolic sine and cosine functions are incorporated into the complex sine and cosine functions. Hyperbolic angle In mathematics, a hyperbolic angle is a geometric figure that defines a section of a hyperbola. The relationship of a hyperbolic angle to a hyperbola parallels the relationship of an "ordinary" angle to a circle. Hyperbolic angle is defined in terms of the "standard" rectangular hyperbola: "y" = 1/"x", for positive