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" A. sin (A + B) - sin A cos B + cos A sin B. sin (A - B) - sin A cos B - cos A sin B. cos (A + B) - cos A cos B - sin A sin B. "
Elements of Plane and Spherical Trigonometry - Page 53
by Elias Loomis - 1865 - 150 pages
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The elements of plane trigonometry

John Charles Snowball - 1837 - 322 pages
...1 -- = - - - - . (cosec A)" (cosec Af 50. Since, sin (A + B) = sin A . cos B + cos A . sin B, and, sin (A - B) = sin A . cos B - cos A . sin B ; .-. by adding and subtracting, we have sin(^í + B) + sin (A - B) = 2 sin -4 .COSA ...... (l). sin (A + B)...
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The Penny Cyclopædia of the Society for the Diffusion of Useful ..., Volume 22

Encyclopedias and dictionaries - 1842 - 526 pages
...sine and cosine, from, which all their properties may be derived, are, sin (a+b) = sin a cos b + cos a sin b sin (a— b) = sin a cos b — cos a sin b cos (ft^-'ftk = cos a cos b — sin a sin I cos (ab) ±= cos a 008 6 + sin a sin A &11 which...
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The penny cyclopædia [ed. by G. Long]., Volume 22

Society for the diffusion of useful knowledge - 1842 - 524 pages
...sine and cosine, from which all their properties may be derived, are, sin (a+b) = sin a cos b + cos a sin b sin (a — b} = sin a cos b — cos a sin b cos (a+^> = cos a cos b — sin a sin 6 cos (a— b) = cos а соя b + sin a sin b . SIN 39...
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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
...convenience of reference, we have the expressions sought. 51 53 52 54 Sin. (a + i)= sin. a cos. 6+ cos. a sin. b. Sin. (a — b)= sin. a cos. b — cos. a sin. b. Cos. (a+6)= cos. a cos. 6 — sin. a sin. 6. Cos. (a — 6)= cos. a cos. 6+ sin. a sin. 6....
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Traité de trigonométrie

Joseph Alfred Serret - Trigonometrical functions - 1850 - 236 pages
...(я -+- ¿) exprimée en fonction de cota et cote, on écrira . . cos (a 4- b) cos a cos b — sin a sin b sin (a + b] sin a cos b + cos a sin b ' et, en divisant haut et bas par sina sin b, il vient cote cot b — i cot (a + b) = cot a -t-...
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A Treatise on Land-surveying: Comprising the Theory Developed from Five ...

William Mitchell Gillespie - 1856 - 466 pages
...arcs, a being the greater Then the following formulas apply : sin. (a + b) = sin. a . cos. b + cos. a . sin. b. sin. (a — b) = sin. a . cos. b — cos. a . sin. b. cos. (a + b) = cos. a . cos. 6 — sin. a . sin. b. cos. (a — 6) = cos. a . cos. 5 + sin....
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Grundzüge einer wissenschaftlichen darstellung der geometrie des maases

Oskar Xaver Schlömilch - 1859 - 566 pages
...Formeln ergiebt sich, wenn man von den Quadraten der vier Gleichungen sin (A + B) = sin A cos B + cos A sin B, sin (A — B) = sin A cos B — cos A sin B, cos (A + B) = cos A cos B — sin A sin B, cos (A — B) = cos A cos B + sin A sin B ausgeht....
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Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860 - 288 pages
...1 cot. 2A = 2 cot. A Lastly, divide (D) by (B), and we have cos. (A — B) _ cos. A cos. B 4- sin. A sin. B sin. (A — B) — sin. A cos. B — cos. A sin. B* . , . ..,. cot. A cot. B + 1 or cot. (A — B) = — — = -Jj . v cot. B — cot. A (8.) To...
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Navigation

James Pryde - Navigation - 1867 - 506 pages
...(g), (K), and (h), we have the following very important results : sin. (A + B) = sin. A cos. B + cos. A sin. B, (/) sin. (A - B) = sin. A cos. B — cos. A sin. B, (g) cos. (A + B) = cos. A cos. B - sin. A sin. B, (/1) cos. (A — B) = cos. A cos. B + sin....
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A Treatise on Land-surveying: Comprising the Theory Developed from Five ...

William Mitchell Gillespie - Surveying - 1868 - 530 pages
...arcs, a being the greater Then the following -formulas apply : sin. (a + b) = sin. a . cos. b + cos. a . sin. b. sin. (a — b) = sin. a . cos. b — cos. a , sin. 6. cos. («+&) = cos. a . cos. 6 — sin. « . sin, b. cos. (a — b) = cos. a . cos. 6 + sin....
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