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Publisher: American Technical Society; Later Printing edition (January 1, 1969)
By James Stewart - Algebra and Trigonometry: 3rd (third) Edition
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Five-place logarithmic and trigonometric tables,: With explanatory chapter
This note explains the following topics: Annual Temperature Cycles, Trigonometric Functions, Trigonometric Models: Vertical Shift and Amplitude, Frequency and Period, Phase Shift, Examples, Phase Shift of Half a Period, Equivalent Sine and Cosine Models Plane and Spherical Trigonometry and Surveying
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. Another method that is recommended is to use the cotangent formula to find either angle A or B, then the law of sines to find side c. A third method is to use the haversine, as just explained Logarithmic Trigonometric and Other Tables, 1950
. Now if t is close to zero or 180^o, cos t is close to 1 (or -1), so the left side, which is the 'error', is approximately x. Of course, if t is, say, close to 90^o, then the error expression will be small, because cos t will be close to zero. Hopefully there is something in that you can use. If more stuff occurs to me I'll send it along Six Figure Trigonometrical, Logarithmic, Antilogarithmic and Logarithmic Trigonometrical Tables and Formulas
. Point 2 enters in the two trapezoidal areas shown, whose area is (1/2)[(y3 - y2)(x3 + x2) + (y2 - y1)(x2 - x1)]. Multiplying out, and keeping only the terms containing y2, we have (1/2)y2(x1 - x3). The whole area is the sum of such terms for each corner of the traverse Elements of Trigonometry: With Tables
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Barron's Trigonometry the Easy Way (E-Z Trigonometry)
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Sammlung trigonometrischer oder barometrisch-bestimmter absoluter HoÌhen der Schweiz und ihrer naÌhern Umgebung. HypsomeÌtrie de la Suisse, etc.
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The Arabs now had two competing versions of astronomy, and soon the Almagest prevailed. The Indian use of the sine and its related functions were much easier to apply in calculations, and the sexagesimal system from the Babylonians continued to be used, so apart from these two changes, the early Arabic versions of the Almagest remained faithful to Ptolemy. [See Note 5 below] Abu al-Wafa al-Buzjani (Abul Wafa 940-998) made important contributions to both geometry and arithmetic and was the first to study trigonometric identities systematically Contemporary Algebra and Trigonometry
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