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Section 5.5 ~ Inequalities in a Triangle

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... Vertex of the angle: The endpoint of the ray. (Origin, central angle). O Initial side of the angle: The starting position of the ray. Terminal side of the angle: The position after rotation Standard position: Plane coordinate system: Origin=vertex, initial side=positive x axis Positive Angle: By Cou ...
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... By definition: All corresponding sides and angles are congruent If figures , then corresp. sides and s  If corresp. sides and s , then figures  For triangles: It is not necessary to show ALL sides and angles are congruent  4 methods: SSS, SAS, ASA, AAS ...
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8-6 Law of Sines - Ms. Fowls` Math Classes

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History of trigonometry

Early study of triangles can be traced to the 2nd millennium BC, in Egyptian mathematics (Rhind Mathematical Papyrus) and Babylonian mathematics.Systematic study of trigonometric functions began in Hellenistic mathematics, reaching India as part of Hellenistic astronomy. In Indian astronomy, the study of trigonometric functions flowered in the Gupta period, especially due to Aryabhata (6th century CE). During the Middle Ages, the study of trigonometry continued in Islamic mathematics, hence it was adopted as a separate subject in the Latin West beginning in the Renaissance with Regiomontanus.The development of modern trigonometry shifted during the western Age of Enlightenment, beginning with 17th-century mathematics (Isaac Newton and James Stirling) and reaching its modern form with Leonhard Euler (1748).
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