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  2. Angle - Wikipedia

    en.wikipedia.org/wiki/Angular_complement

    If the two complementary angles are adjacent, their non-shared sides form a right angle. In Euclidean geometry, the two acute angles in a right triangle are complementary because the sum of internal angles of a triangle is 180 degrees, and the right angle accounts for 90 degrees.

  3. Proofs of trigonometric identities - Wikipedia

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

    For example, the sine of angle θ is defined as being the length of the opposite side divided by the length of the hypotenuse. 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 ...

  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. Right angle - Wikipedia

    en.wikipedia.org/wiki/Right_angle

    In geometry and trigonometry, a right angle is an angle of exactly 90 degrees or ⁠ / 2 ⁠ radians [1] corresponding to a quarter turn. [2] If a ray is placed so that its endpoint is on a line and the adjacent angles are equal, then they are right angles. [ 3 ]

  6. Angle of incidence (optics) - Wikipedia

    en.wikipedia.org/wiki/Angle_of_incidence_(optics)

    The angle of incidence, in geometric optics, is the angle between a ray incident on a surface and the line perpendicular (at 90 degree angle) to the surface at the point of incidence, called the normal. The ray can be formed by any waves, such as optical, acoustic, microwave, and X-ray. In the figure below, the line representing a ray makes an ...

  7. Here's why Donald Trump changing the Gulf of Mexico's name ...

    www.aol.com/news/heres-why-donald-trump-changing...

    Both countries have roughly equal the same share of shoreline. Nicole Anslover is an associate professor of history at Florida Atlantic University. She said the body of water has carried that name ...

  8. Trigonometry - Wikipedia

    en.wikipedia.org/wiki/Trigonometry

    Explicitly, they are defined below as functions of the known angle A, where a, b and h refer to the lengths of the sides in the accompanying figure. In the following definitions, the hypotenuse is the side opposite to the 90-degree angle in a right triangle; it is the longest side of the triangle and one of the two sides adjacent to angle A.

  9. Woman, 53, Has ‘Never Felt Better' After Undergoing Pig ...

    www.aol.com/woman-53-never-felt-better-111429861...

    An Alabama woman "is recuperating well" after undergoing a pig kidney transplant in New York City, per reports. Towana Looney, 53, underwent surgery using the organ from a genetically manipulated ...