 | 1810 - 590 lapas
...aid of diagrams. The Professor's demonstration oi the formulae sin. A cos. JS -j- cos. A sin. B »in, (A + B) = -- - — # cos. A cos. B + sin. A sin. B sin. (A + B) = -- — -- R has the advantage of being concise, and at the same time universally applicable to all... | |
 | Robert Woodhouse - 1819 - 470 lapas
...the sine and cosine of the sum of 2 arcs. ... 27 sin. (A + B) = sin. A . cos. B ± cos. A . sin. B cos. (A + B) = cos. A . cos. B + sin. A . sin. B sin. (A + B) + sin. (A — B) = 2sin. A. cos. B sin. (A + B) — sin. (A — B) = 2 cos. A. sin. B sin. (A + B)... | |
 | John Radford Young - 1833 - 308 lapas
...cos. A .sin. (A — B) sin. A cos. B — sin. B cos. A cos. (A + B) cos. A cos. B — sin. A sin. B cos. (A — B^ cos. A cos. B + sin. A sin. B sin. (A ± B) sin. A cos. B ± sin. B cos. A cos. (A ± 13) cos. A cos. B + sin. A sin. B The right-hand members... | |
 | Lefébure de Fourcy (M., Louis Etienne) - 1848 - 582 lapas
...ergibt sin a cos b + cos a sin b [1] sin(a + b) = - ¿ - , [2] cos (a + b) = [3] sin (a — b) = [4] cos (a— b) = cos a cos b — sin a sin b sin a cos b — cos a sin b cos a cos b -j- sin a sin b QE :BP i= OQ OB ober QE sin a = cosb 4r, OE : OP... | |
 | Thomas Jefferson Lee - 1853 - 288 lapas
...x Co-versed sin a; = 1 — sin a; Chord a; = 2 sin £ x Sin ( A ± B ) = sin A cos B ± sin B cos A Cos ( A ± B ) = cos A cos B ^ sin A sin B Sin 2 A = 2 sin A cos A Cos 2 A = 2 cos SA — 1 — 1 — 2 sin 'A = cos 2A — sin 2A 2 cos 2i A = 1... | |
 | Elias Loomis - 1860 - 518 lapas
...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, sin. (A + B)_ tang. A + tang. B_cot. B + cot. A sin. (A— B)~tang. A— tang. B cot. B — cot. A1 cos. (A+B)_cot.... | |
 | Isaac Todhunter - 1860 - 318 lapas
...certain limits, these limits may be increased by a right angle. For by Art. 52, sin (90° + A + B) = cos (A + B) = cos A cos B - sin A sin B = sin (90° + A) cos B + cos (90° + A) sin B; in this way, from the truth of (2) for any limits, we can... | |
 | United States. Army. Corps of Engineers - 1873 - 350 lapas
...— cos x co-versin x = 1 — sin x chord x = 2 sin £ x sin (A ± B) = sin A cos B ± sin B cos A cos (A ± B) = cos A cos B ^ sin A sin B sin 2 A = 2 sin A cos A cos 2 A = 2 cos2 A — 1 = 1 — 2 sin2 A = cos2 A r- sin2 A 2 cos2 \ A = 1 + cos... | |
 | John Clement P. Aldous - 1874 - 104 lapas
...B + sin A sin B. 53 These four values must be remembered : sin (A + B) = sin A cos B + cos A sin B, cos (A + B) = cos A cos B - sin 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. Thus cos 75° = cos (45°... | |
 | Josef Philipps Herr - 1877 - 548 lapas
...zeigen, dass die für reelle Werthe der Bögen a, l geltenden Fundamentalformeln der Goniometrie : cos (a + b) = cos a cos b — sin a sin b , sin (a -J- b) = sin a cos b -f- cos a sin b , und mit diesen alle anderen goniometrischen Formeln auch für... | |
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Cos (A ± B) = cos A cos B + sin A sin B Sin A + sin B... 
