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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. 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.

  5. Complement angle - Wikipedia

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

    This page was last edited on 22 September 2022, at 06:55 (UTC).; Text is available under the Creative Commons Attribution-ShareAlike 4.0 License; additional terms may apply.

  6. Angle - Wikipedia

    en.wikipedia.org/wiki/Angle

    The equality of vertically opposite angles is called the vertical angle theorem. ... The complementary angles a and b (b is the complement of a, ...

  7. Euclidean geometry - Wikipedia

    en.wikipedia.org/wiki/Euclidean_geometry

    Angles whose sum is a right angle are called complementary. Complementary angles are formed when a ray shares the same vertex and is pointed in a direction that is in between the two original rays that form the right angle. The number of rays in between the two original rays is infinite. Angles whose sum is a straight angle are supplementary ...

  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. Angle bisector theorem - Wikipedia

    en.wikipedia.org/wiki/Angle_bisector_theorem

    The angle bisector theorem is commonly used when the angle bisectors and side lengths are known. It can be used in a calculation or in a proof. An immediate consequence of the theorem is that the angle bisector of the vertex angle of an isosceles triangle will also bisect the opposite side.