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" He must be able to derive formula? for the sine and cosine of the sum and difference of two angles, of double angles, half angles, etc. "
Elements of Analytic Trigonometry: Plane and Spherical - Página 27
por Ferdinand Rudolph Hassler - 1826 - 192 páginas
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A Popular Exposition of the System of the Universe: With Plates ..., Volumen1

Ferdinand Rudolph Hassler - 1826 - 640 páginas
...negative. CHAPTER III. Fundamental Trigonometric Functions of the Sum, and Difference of two Jingles. §16. Problem. To find the sine and cosine of the...their respective sines and cosines being given. Let DBG, and, ABC, (in figures 4, and 5,) be the two angles, placed upon the common line, J1C. in such...
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A Treatise on Algebra

George Peacock - 1830 - 732 páginas
...exponential expressions for the sine and cosine, as in Algebra, or from the fundamental formula? for the sine and cosine of the sum and difference of two angles, as in Geometry, this modification of the definitions of the quantities which form the objects of the...
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Documents of the Senate of the State of New York, Volumen2

New York (State). Legislature. Senate - 1881 - 1258 páginas
...relations between the functions of different angles expressed analytically, especially the equations of the sine and co-sine of the sum and difference of two angles or arcs, and the equations derived from them. It will include the propositions relating to the solution...
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A Treatise on Trigonometry, and on Trigonometrical Tables and Logarithms ...

John Hymers - 1841 - 244 páginas
...SECTION II. FORMULA INVOLVING THE TRIGONOMETRICAL RATIOS OF TWO OR MORE ANGLES. Formulée for finding the sine and cosine of the sum and difference of two angles. 35. To express the sine and cosine of the sum of two angles in terms of the sines and cosines of the...
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A system of practical mathematics; being no.xvi. of a new series of school-books

Scottish school-book assoc - 1845 - 444 páginas
...Demonstration of useful Theorems, . . 29 To find the Angles when the sides are given, . . S'2 Expressions for the Sine and Cosine of the sum and difference of two Angles, . . . 33 Analytical Trigonometry, Art. 51-85, . . 34 MENSURATION OF HEIGHTS AND DISTANCES, . 37 Distances...
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Plane trigonometry. [With] Solutions of examples

John William Colenso (bp. of Natal.) - 1851 - 148 páginas
...ON THE TRTGONOMETRICAL RATIOS OF THE SUM AND DIFFERENCE, MULTIPLES AND SUBMULTIPLES, OF ANGLES. 67. To find the sine and cosine of the sum and difference of two angles in terms of the angles themselves. Let BA C(A) and CAD (B) be two given angles : then, according as...
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Plane trigonometry. [With] Solutions of examples. Appendix &c., to adapt the ...

John William Colenso (bp. of Natal.) - 1851 - 382 páginas
...TRIGONOMETRICAL RATIOS OP THE SUM AND DIFFERENCE, MULTIPLES AND SUBMULTIPLES, OF ANGLES. 67. To ßnd the sine and cosine of the sum and difference of two angles in terms of the angles themselves. Let В AC (A) and CAD(B) be two given angles: then, according as...
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Manual of plane trigonometry, by J.A. Galbraith and S. Haughton

Joseph Allen Galbraith - 1852 - 84 páginas
...-J3) = E cos B cos A + BsinBsinA . therefore cos (A - B) = cos A cos B + sin A sin B. The values for the sine and cosine of the sum and difference of two angles are of the highest importance, as from them are immediately derived a great variety of useful formulae...
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A Treatise on Surveying and Navigation: Uniting the Theoretical, Practical ...

Horatio Nelson Robinson - 1853 - 334 páginas
...J3m= Cn, or the sine 30°, is the half of radius. PROPOSITION 2. Given the sine and cosine of two arcs to find the sine and cosine of the sum, and difference of the same arcs expressed by the sines and cosines of the separate arcs. Let G be the center of the circle,...
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The Elements of Plane Trigonometry

James Hann - 1854 - 144 páginas
...㏄ 伸 丘 ndt 卑 n ノ ・ 甘 n メ + 雨 ㍉ + &G , adi が TRIGoNoMETRY. 25 CHAPTER II. 7. To find the sine and cosine of the sum and difference of two angles. Let the angle FA C=A, and the angle FAP = B, then PA С = A + B, draw PF perpendicular to AF , and...
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