 | Mathematics - 1835 - 684 pages
...proceed to 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... | |
 | John Hymers - Logarithms - 1841 - 244 pages
...PQ "4 ' ) = AQ' AP PQ' ÄP = cos A cos В - sin A sin Я. 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 BAC, CAD (fig. 16.) be denoted by A and B, so that BAD = A - B. In AD take any... | |
 | James Bates Thomson - Plane trigonometry - 1844 - 148 pages
...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 B AC and DAC (Jig. 9), which, for brevity, may be_^ called... | |
 | Scottish school-book assoc - 1845 - 444 pages
...ZC 33° 34' 47", ZB 128° 3' 49". •riO. It is required to find expressions for the sine and cosine of the sum and difference of two angles, in terms of the sine and cosine of the angles themselves. Let CAD = a, BAC=&, then BAD=ci -|- 6, and it is required... | |
 | Thomas Grainger Hall - Trigonometry - 1848 - 192 pages
...cos.3a — 3 cos. a ) IX. Sin. 4 а = cos. a (4 sin. a — 8 sin.3«) ) oo ) ) XI. To find the tangent of the sum and difference of two angles, in terms of the tangents of the simple angles, .. .r. tan. A + tan. 71 ie tan. (A + B] :«.,«;;} (2.) Tan. (45 + B)... | |
 | John William Colenso (bp. of Natal.) - 1851 - 148 pages
...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 we measure CAD... | |
 | Royal Military Academy, Woolwich - Mathematics - 1853 - 476 pages
...- sin (n - 1) B (15), cos (» fl)B = 2cos« B cosB - cos(n - 1) B (16). Next, to find the tangents of the sum and difference of two angles in terms of the tangents of the angles, we have by (1) and (3) of this Art., and (2) of Art. 15, , D\ em (^ "^ B) s'n... | |
 | Joseph Allen Galbraith - 1854 - 146 pages
...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... | |
 | John Hind - Trigonometry - 1855 - 540 pages
...of' Equivalent Forms leads directly to the same results ; for, if there exist any general formulae for the sines and cosines of the sum and difference of two angles, they must necessarily be those which we have just found, inasmuch as they would otherwise not comprehend... | |
 | Middle-class education - 1857 - 70 pages
...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... | |
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To find the sine and cosine of the sum and difference of two angles in terms of the sines and cosines of the angles themselves. 
