Trigonometry Table
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Trigonometry Table
Trigonometric Angles : Table Values of sin, cos, tan, cosec, sec and cot at various degree of angles (0,
30, 45, 60, 90, 180, 270). Trigonometry is also spelled as Trignometry.
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Trigonometry is a branch of mathematics with help of which we can determine heights and distances
using variables. It can possibly be of three types: core, plane, spherical and analytic. Before studying
trigonometry table let us understand few terms. Core Trigonometry: This type of trigonometry is used
for triangles having one angle as right angle or 900. Trigonometric functions use sine and cosine
variables within a formula to determine height and distances of other two angles. Plane Trigonometry:
Plane trigonometry is generally used in plane triangles to determine height and distances of angles. This
type of triangle has three vertices made by intersecting points on plane surface, and sides of triangle are
straight lines. Values for plane trigonometry differ a lot from those of core, as net sum of angles must
be equal to 180 degrees as opposed to 90 degrees.
Trigonometry (from Greek trignon "triangle" + metron "measure"[1]) is a branch of mathematics that
studies triangles and the relationships between their sides and the angles between these sides.
Trigonometry defines the trigonometric functions, which describe those relationships and have
applicability to cyclical phenomena, such as waves. The field evolved during the third century BC as a
branch of geometry used extensively for astronomical studies.[2] It is also the foundation of the
practical art of surveying.Trigonometry basics are often taught in school either as a separate course or
as part of a precalculus course. The trigonometric functions are pervasive in parts of pure mathematics
and applied mathematics such as Fourier analysis and the wave equation, which are in turn essential to
many branches of science and technology. Spherical trigonometry studies triangles on spheres, surfaces
of constant positive curvature, in elliptic geometry. It is fundamental to astronomy and navigation.
Trigonometry on surfaces of negative curvature is part of Hyperbolic geometry.
If one angle of a triangle is 90 degrees and one of the other angles is known, the third is thereby fixed,
because the three angles of any triangle add up to 180 degrees. The two acute angles therefore add up to
90 degrees: they are complementary angles. The shape of a triangle is completely determined, except
for similarity, by the angles. Once the angles are known, the ratios of the sides are determined,
regardless of the overall size of the triangle. If the length of one of the sides is known, the other two are
determined. These ratios are given by the following trigonometric functions of the known angle A,
where a, b and c refer to the lengths of the sides in the accompanying figure. 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.
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