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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. "
Plane and Spherical Trigonometry: An Elementary Text-book - Page 56
by Charles Hamilton Ashton, Walter Randall Marsh - 1900 - 157 pages
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A Syllabus of a Course of Lectures Upon Trigonometry, and the Application of ...

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...
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A system of practical mathematics; being no.xvi. of a new series of school-books

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...
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A Treatise on Plane and Spherical Trigonometry ...

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)...
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Plane trigonometry. [With] Solutions of examples

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...
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Arithmetic, algebra, differential and integral calculus, by W. Rutherford ...

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...
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The Elements of Plane and Spherical Trigonometry

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...
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The Mathematical Monthly, Volume 3

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...
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Popular and Mathematical Astronomy, with the principal formulę of Plane and ...

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)=...
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First B.A. Examination, University of London: A Hand-book to the Study of ...

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...
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Elements of Plane and Spherical Trigonometry: With Numerous Examples

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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