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  2. 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.

  3. Angle - Wikipedia

    en.wikipedia.org/wiki/Angle

    An angle equal to 0° or not turned is called a zero angle. [5] An angle smaller than a right angle (less than 90°) is called an acute angle [6] ("acute" meaning "sharp"). An angle equal to ⁠ 1 / 4 ⁠ turn (90° or ⁠ π / 2 ⁠ radians) is called a right angle. Two lines that form a right angle are said to be normal, orthogonal, or ...

  4. Congruence (geometry) - Wikipedia

    en.wikipedia.org/wiki/Congruence_(geometry)

    AAS (angle-angle-side): If two pairs of angles of two triangles are equal in measurement, and a pair of corresponding non-included sides are equal in length, then the triangles are congruent. AAS is equivalent to an ASA condition, by the fact that if any two angles are given, so is the third angle, since their sum should be 180°.

  5. Triangle - Wikipedia

    en.wikipedia.org/wiki/Triangle

    A triangle is a polygon with three corners and three sides, one of the basic shapes in geometry. The corners, also called vertices, are zero- dimensional points while the sides connecting them, also called edges, are one-dimensional line segments. A triangle has three internal angles, each one bounded by a pair of adjacent edges; the sum of ...

  6. Mathematics - Wikipedia

    en.wikipedia.org/wiki/Mathematics

    For larger scales the sum of the angles of a triangle is not equal to 180°. Geometry is one of the oldest branches of mathematics. It started with empirical recipes concerning shapes, such as lines, angles and circles, which were developed mainly for the needs of surveying and architecture, but has since blossomed out into many other subfields ...

  7. Vanderbilt fans tear down goal posts after Alabama upset ...

    www.aol.com/sports/vanderbilt-fans-tear-down...

    Vanderbilt fans stormed the field and tore down the goal posts at FirstBank Stadium in Nashville after the Commodores upset No. 1 Alabama.