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8.2.1 - 8.2.2
8.2.1 - 8.2.2

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Document

(HR) (8.4) Pg.573: 19, 23-27, 29-43odd, 53, 57, 62, 64
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... In contrast, if we take X to be in the interior of the ray BC, then each value ψ(X) is less than m(∠P BA). Again, ψ(X) decreases as XB increases. It follows that there is a unique B such that P B is perpendicular to L. We list, without proof, a few more applications. • SAA Theorem. This is a general ...
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... We’ve done everything correctly and found one triangle using all of the given information…so how will we find the values of A2 , B2 , and b2 for the other triangle we drew in Figure 14? In order to find this other possible triangle, we have to remember the problem with using the inverse sine functio ...
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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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