 | Industrial arts - 1833 - 496 pages
...+ B), sin, B + cos. (A + B). Cos. B = cos. A.— QED Otherwise by Cargil. By a well known theorem, sin. (A +B) = sin. A. Cos. B + cos. A. Sin. B .-. sin. (A+B). Sin. B — sin. A. Cos. B. Sin. B+ sin. 2B. Cos. A. And from another established theorem, cos.... | |
 | Mathematics - 1835 - 684 pages
...from the substitution of - В for B in the formulae for the sum of those angles. Thus Sin. (A - B) = sin. (A + (- B) ) = sin. A . cos. (— B) + cos. A sin. (— B) ~ sin. A . cos. — cos. A siii. В cos. (A - B) = cos. (A+ (- B) ) = cos. A cos. (- B) — sin. A . sin. (—... | |
 | Encyclopedias and dictionaries - 1842 - 526 pages
...theorems of the 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... | |
 | Society for the diffusion of useful knowledge - 1842 - 524 pages
...theorems of the 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... | |
 | Harvey Goodwin - Mathematics - 1846 - 500 pages
...For we have from (l), sin (A + B) = sin A cos B + cos A sin B ; now write — B for B, and we have sin (A - B) = sin A cos (- B) + cos A sin (- B) = sin A cos B - cos A sin B, which agrees with (3) ; and similarly (4) may be deduced from (2). But still further,... | |
 | Mathematics - 1849 - 492 pages
...beiden bereits erklärten Thcilwiukel (« und /<), nach den hier angeführten bekannten Formeln : A. sin (a + b) = sin a . cos b + cos a . sin b = sin a . r — 8'ni cos a • s'n B. tg (a + 6) = * v ' l + tg a . Für den aus ganzen Graden bestehenden... | |
 | George Wirgman Hemming - 1851 - 176 pages
...of the sums or differences of sines and cosines. Since sin (A + 5) = sin A cos B + cos A sin B and sin (A — B) = sin A cos B — cos A sin B .-. sin (^ + B) + sin (^4 — 5) = 2 sin ^4 cos 5 and sin (A +B) —sin (A— B) = 2 cos ^4 sin B .-. sin A... | |
 | William Mitchell Gillespie - 1856 - 466 pages
...Two arcs. Let a and b represent any two 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... | |
 | Oskar Xaver Schlömilch - 1859 - 566 pages
...sin B Eine afldere Gruppe von 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... | |
 | Elias Loomis - Astronomical instruments - 1860 - 518 pages
...$A). /I -cos. 2A . + tang. A tang. .\ A V 1 + C03.2A 1 secant A' • Relative to two Arcs, A and B. 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) =... | |
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A sin B sin (A — B) = sin A cos B — cos A sin B cos (A + B) = cos A cos B... 
