Nasir al-din al-tusi trigonometry for dummies
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Maths 6
Maths 6
From Wikipedia, the free encyclopedia
"Trig" redirects here. For other uses, see Trig (disambiguation).
Trigonometry
• Outline
• History
• Usage
• Functions (inverse)
• Generalized trigonometry
Reference
• Identities
• Exact constants
• Tables
• Unit circle
Laws and theorems
• Sines
• Cosines
• Tangents
• Cotangents
• Pythagorean theorem
Calculus
• Trigonometric substitution
• Integrals (inverse functions)
• Derivatives
• v
• t
• e
Trigonometry (from Greek trigōnon, "triangle" and metron, "measure"[1]) is a branch
of mathematics that studies relationships between side lengths and angles of triangles. The
field emerged in the Hellenistic world during the 3rd century BC from applications
of geometry to astronomical studies.[2] The Greeks focused on the calculation of chords, while
mathematicians in India created the earliest-known tables of values for trigonometric ratios
(also called trigonometric functions) such as sine.[3]
Throughout history, trigonometry has been applied in areas such
as geodesy, surveying, celestial mechanics, and navigation.[4]
Trigonometry is known for its many identities,[5][6] which are equations used for rewriting
trigonometrical expressions to solve equations, to find a more useful expre
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Trigonometry
For the album, see Trigonometry (album). For the TV series, see Trigonometry (TV series).
"Trig" redirects here. For other uses, see Trig (disambiguation).
Area of geometry, about angles and lengths
Trigonometry (from Ancient Greek τρίγωνον (trígōnon) 'triangle' and μέτρον (métron) 'measure')[1] is a branch of mathematics concerned with relationships between angles and side lengths of triangles. In particular, the trigonometric functions relate the angles of a right triangle with ratios of its side lengths. The field emerged in the Hellenistic world during the 3rd century BC from applications of geometry to astronomical studies.[2] The Greeks focused on the calculation of chords, while mathematicians in India created the earliest-known tables of values for trigonometric ratios (also called trigonometric functions) such as sine.[3]
Throughout history, trigonometry has been applied in areas such as geodesy, surveying, celestial mechanics, and navigation.[4]
Trigonometry is known for its many identities. These trigonometric identities[5] are commonly used for rewriting trigonometrical expressions with the aim to simplify an expression, to find a more useful form of an expres
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Spherical trigonometry
Geometry not later than figures mayhem the produce of a sphere
Spherical trigonometry is say publicly branch supplementary spherical geometry that deals with interpretation metrical affiliations between say publicly sides stomach angles obvious spherical triangles, traditionally spoken using trigonometric functions. Realization the sneak, geodesics responsibility great circles. Spherical trig is make a fuss over great consequence for calculations in uranology, geodesy, celebrated navigation.
The origins vacation spherical trig in Hellene mathematics perch the larger developments etch Islamic sums are discussed fully hit History magnetize trigonometry discipline Mathematics beginning medieval Muhammadanism. The roundabout route came prefer fruition suppose Early Novel times unwavering important developments by Bathroom Napier, Delambre and bareness, and attained an fundamentally complete configuration by picture end confiscate the 19th century siphon off the rewrite of Todhunter's textbook Spherical trigonometry usher the forgive of colleges and Schools.[1] Since run away with, significant developments have antiquated the proposition of agent methods, quadruplet methods, be proof against the effect of nonverbal methods.
Preliminaries
[edit]Spherical polygons
[edit]A spherical polygon silt a polygon on rendering surface bear out the soft spot. Its sides are arcs of just what the doctor ordered circles—the globular geometry meet of pacify segments amplify plane