| Henry Pearson - Algebra - 1833 - 164 pages
...with its algebraical sign 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... | |
| 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 - 474 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... | |
| John Hind - Trigonometry - 1855 - 546 pages
...will hereafter be used in the establishment of important general formulae. 58. To express the tangents of the Sum and Difference of two angles, in terms of the tangents of the angles themselves. Here, from equal division of the numerator and denominator by cos... | |
| Mathematics - 1860 - 294 pages
...which (x, y) denotes the angle between x and y. NOTES AND QUERIES. 1. To express the sines and cosines of the sum and difference of two angles in terms of the sines and cosines of the angles themselves. Let 0 be the origin of rectangular co-ordinates, and the... | |
| William Thomas READ - 1862 - 144 pages
...sin (90° — 60°) or cos 60° = sin 30° = £ and sec 60° = — - — cos 60° To find the tangent of the sum and difference of two angles, in terms of the tangents of the angles, ie, To prove tan (A + B) = tan A + tan Bg ' 1 — tan A. tan B andtan(A—B)=... | |
| J. G - 1878 - 408 pages
...the other ratios. THE TRIGONOMETRICAL RATIOS OF TWO OR MORE ANGLES. 24. 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. The four formulae to be found are the most important in... | |
| Edward Albert Bowser - Trigonometry - 1892 - 202 pages
...FUNOTIONS 0Г TWO ANGLES. 38. Fundamental Formulae. — We now proceed to express the trigonometric functions of the sum and difference of two angles in terms of the trigonometric functions of the angles themselves. The fundamental formulai first to be established... | |
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