 | Henry Pearson - Algebra - 1833 - 164 pages
...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)... | |
 | Mathematics - 1835 - 684 pages
...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... | |
 | John Hymers - Logarithms - 1841 - 244 pages
...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... | |
 | James Thomson - Geometry, Analytic - 1844 - 146 pages
...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... | |
 | Joseph Allen Galbraith - 1854 - 146 pages
...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... | |
 | John Hind - Trigonometry - 1855 - 540 pages
...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 :... | |
 | Middle-class education - 1857 - 70 pages
...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... | |
 | John Hymers - Logarithms - 1858 - 324 pages
...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,... | |
 | sir Thomas Dyke Acland (11th bart.) - 1858 - 270 pages
...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... | |
 | John Hymers - Logarithms - 1858 - 292 pages
...• 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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To express the sine and cosine of the sum of two angles in terms of the sines and cosines of the angles. 
