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To express the sine and cosine of the sum of two angles in terms of the sines and cosines of the angles.
Elements of Plane and Spherical Trigonometry with Logarithmic and Other ... - Página 44
por Simon Newcomb - 1882 - 104 páginas
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A Syllabus of a Course of Lectures Upon Trigonometry, and the Application of ...

Henry Pearson - 1833 - 137 páginas
...changed. B 8. PROPOSITION. To find expressions for the sines and cosines of the sum and difference of two angles, in terms of the sines and cosines of the component angles. Let the component angles be denoted by 9 and ff : then we shall find sin (9 + ff)...
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Library of Useful Knowledge: Geometry, plane, solid, and spherical [by ...

1835
...investigate are among the most important of Trigonometry. (34.) To find the sine of the sum or difference of two angles in terms of the sines and cosines of the angles themselves : — Let the angle ACP = A, P С Q — В ; then will А С Q = A + B. With centre С and any radius...
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A Treatise on Trigonometry, and on Trigonometrical Tables and Logarithms ...

John Hymers - 1841 - 151 páginas
...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 angles. Let the angles ВАС, CAD (fig. 15.) be denoted by A and B, so that BAD = A + B. In AD take any point...
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Elements of plane and spherical trigonometry

James Thomson - 1844 - 126 páginas
...One of the most important problems in trigonometry, is that in which it is required to find the sine of the sum of two angles, in terms of the sines and cosines of the angles themselves. To investigate this, let BAC and DAG (Jig. 9), which, for brevity, may be called 6 andd', be the two...
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Manual of plane trigonometry, by J.A. Galbraith and S. Haughton

Joseph Allen Galbraith - 1854
...5.424. i = 49.7°5. CHAPTER IV. TRIGONOMETRICAL FORMULAE. LET it be proposed to find the values of the sine and cosine of the sum of two angles, in terms...of the sines and cosines of the angles themselves. Let the angles be AOB and BOG (fig. 10); let their numerical values be A and B respectively ; on ОС...
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The Elements of Plane and Spherical Trigonometry

John Hind - 1855 - 328 páginas
...DIFFERENCES OF ANGLES, AND OF SOME OF THEIR MULTIPLES AND SUBMULTIPLES. - THE TRIGONOMETRICAL CANON. 36. To express the sine and cosine of the Sum of two angles,...of the sines and cosines of the angles themselves. Let A and В denote the angles POQ, QOR terminated in the same point O, so that ¿. POR = A + В :...
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Middle-class education. 2

Middle-class education - 1857
...circle, show that C 0 D is a right angle. 23. Define the terms sine and cosine of an angle. Express the cosine of the sum of two angles in terms of the sines and cosines of the angles themselves. 24. Prove the equation — Tan. (45° + A) - Tan. (45° - A) = 2 Tan. 2 A. 25. Express the sine of...
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A Treatise on Plane and Spherical Trigonometry, and on Trigonometrical ...

John Hymers - 1858 - 232 páginas
...MORE ANGLES. FORMUL^E 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 angles. Let the angles BAC, CAD (fig. 15), be denoted by A and Д so that BAD = A+B. In AD take any point P,...
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Some account of the origin and objects of the new Oxford examinations for ...

...circle, show that COD is a right angle. 23. Define the terms sine and cosine of an angle. Express the cosine of the sum of two angles in terms of the sines and cosines of the angles themselves. 24. Prove the equation — Tan. (45° + A) - Tan. (45° - A) = 2 Tan. 2 A. 25. Express the sine of...
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A Treatise on Plane and Spherical Trigonometry, and on Trigonometrical ...

John Hymers - 1858 - 232 páginas
...• AP PQ 'AP = cos A cos В — sin A sin B. 36. To express the sine and cosine of the difference of two angles in terms of the sines and cosines of the angles. Let the angles БАС, CAD (fig. 16) Ъе denoted by A and Д so that BAD-AB. In AD take any point...
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