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  2. Unit circle - Wikipedia

    en.wikipedia.org/wiki/Unit_circle

    Since C = 2πr, the circumference of a unit circle is 2π. In mathematics, a unit circle is a circle of unit radius—that is, a radius of 1. [1] Frequently, especially in trigonometry, the unit circle is the circle of radius 1 centered at the origin (0, 0) in the Cartesian coordinate system in the Euclidean plane.

  3. File:Unit-circle sin cos tan cot exsec excsc versin cvs.svg

    en.wikipedia.org/wiki/File:Unit-circle_sin_cos...

    English: A unit circle with sine (sin), cosine (cos), tangent (tan), cotangent (cot), versine (versin), coversine (cvs), exsecant (exsec), excosecant (excsc) and (indirectly) also secant (sec), cosecant (csc) as well as chord (crd) and arc labeled as trigonometric functions of angle theta. It is designed as alternative construction to "Circle ...

  4. Tangent lines to circles - Wikipedia

    en.wikipedia.org/wiki/Tangent_lines_to_circles

    No tangent line can be drawn through a point within a circle, since any such line must be a secant line. However, two tangent lines can be drawn to a circle from a point P outside of the circle. The geometrical figure of a circle and both tangent lines likewise has a reflection symmetry about the radial axis joining P to the center point O of ...

  5. Trigonometric functions - Wikipedia

    en.wikipedia.org/wiki/Trigonometric_functions

    The tangent line to the unit circle at the point A, is perpendicular to , and intersects the y - and x-axes at points = (,) and = (,). The coordinates of these points give the values of all trigonometric functions for any arbitrary real value of θ in the following manner.

  6. File:Unit Circle Definitions of Six Trigonometric Functions.svg

    en.wikipedia.org/wiki/File:Unit_Circle...

    English: All of the six trigonometric functions of an arbitrary angle θ can be defined geometrically in terms of a unit circle centred at the origin of a Cartesian coordinate plane.

  7. Outline of trigonometry - Wikipedia

    en.wikipedia.org/wiki/Outline_of_trigonometry

    Angular unit. Degree (angle) Gon (angle) (aka Grad, Gradian) Radian; Turn (angle) Brocard points; Chord (geometry) Circle (also see List of circle topics) Unit circle; Hypotenuse; Opposites post; π (pi) Ptolemy's theorem; Pythagorean theorem; Regiomontanus' angle maximization problem; Thales' theorem; Trigonometric function; Trigonometry of a ...

  8. Manifold - Wikipedia

    en.wikipedia.org/wiki/Manifold

    Figure 1: The four charts each map part of the circle to an open interval, and together cover the whole circle. After a line, a circle is the simplest example of a topological manifold. Topology ignores bending, so a small piece of a circle is treated the same as a small piece of a line. Considering, for instance, the top part of the unit ...

  9. File:Trig functions on unit circle.svg - Wikipedia

    en.wikipedia.org/wiki/File:Trig_functions_on...

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