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  2. Proofs of trigonometric identities - Wikipedia

    en.wikipedia.org/wiki/Proofs_of_trigonometric...

    The six trigonometric functions are defined for every real number, except, for some of them, for angles that differ from 0 by a multiple of the right angle (90°). Referring to the diagram at the right, the six trigonometric functions of θ are, for angles smaller than the right angle:

  3. Cofunction - Wikipedia

    en.wikipedia.org/wiki/Cofunction

    In mathematics, a function f is cofunction of a function g if f(A) = g(B) whenever A and B are complementary angles (pairs that sum to one right angle). [1] This definition typically applies to trigonometric functions. [2] [3] The prefix "co-" can be found already in Edmund Gunter's Canon triangulorum (1620). [4] [5]

  4. Complement angle - Wikipedia

    en.wikipedia.org/?title=Complement_angle&redirect=no

    Download as PDF; Printable version; In other projects Appearance. move to sidebar hide. ... Redirect page. Redirect to: Angle#complementary angle; Retrieved from ...

  5. List of trigonometric identities - Wikipedia

    en.wikipedia.org/wiki/List_of_trigonometric...

    A formula for computing the trigonometric identities for the one-third angle exists, but it requires finding the zeroes of the cubic equation 4x 3 − 3x + d = 0, where is the value of the cosine function at the one-third angle and d is the known value of the cosine function at the full angle.

  6. Cyclic quadrilateral - Wikipedia

    en.wikipedia.org/wiki/Cyclic_quadrilateral

    The first of these theorems is the spherical analogue of a plane theorem, and the second theorem is its dual, that is, the result of interchanging great circles and their poles. [32] Kiper et al. [ 33 ] proved a converse of the theorem: If the summations of the opposite sides are equal in a spherical quadrilateral, then there exists an ...

  7. Colatitude - Wikipedia

    en.wikipedia.org/wiki/Colatitude

    In a spherical coordinate system, a colatitude is the complementary angle of a given latitude, i.e. the difference between a right angle and the latitude. [1] In geography, Southern latitudes are defined to be negative, and as a result the colatitude is a non-negative quantity, ranging from zero at the North pole to 180° at the South pole.

  8. Complement - Wikipedia

    en.wikipedia.org/wiki/Complement

    Complement of an angle, the difference between a right angle (90 degrees) and a given angle; Knot complement; Complement of a point, the dilation of a point in the centroid of a given triangle, with ratio −1/2

  9. Knot complement - Wikipedia

    en.wikipedia.org/wiki/Knot_complement

    In mathematics, the knot complement of a tame knot K is the space where the knot is not. If a knot is embedded in the 3-sphere , then the complement is the 3-sphere minus the space near the knot. To make this precise, suppose that K is a knot in a three-manifold M (most often, M is the 3-sphere ).