 | Henry Pearson - 1833 - 164 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)... | |
 | 1835 - 684 páginas
...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 С A describe... | |
 | John Hymers - 1841 - 244 páginas
...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 - 1844 - 146 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... | |
 | John Hind - 1855 - 540 páginas
...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, in terms...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 : in OR... | |
 | Middle-class education - 1857 - 70 páginas
...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 - 1858 - 292 páginas
...ANGLES. FORMULA 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... | |
 | sir Thomas Dyke Acland (11th bart.) - 1858 - 270 páginas
...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... | |
 | Isaac Todhunter - 1860 - 318 páginas
...both sin 6 = - «• and cos 0= - . TT VI. TRIGONOMETRICAL FUNCTIONS OF TWO ANGLES. 76. To express the sine and cosine of the sum of two angles in terms...of the sines and cosines of the angles themselves. MQC Let the angle COD be denoted by A, and the angle DOE by B ; then the angle COE will be denoted... | |
 | 1860 - 294 páginas
...Millersville, Pa. II. Note on finding the expressions for the sines and cosines of the sum and difference of two angles in terms of the sines and cosines of the angles themselves, by using the equations for passing from a system of rectangular co-ordinates to another system also... | |
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To express the cosine of the sum of two angles in terms of the sines and cosines of the angles themselves. 
