 | James Pryde - Navigation - 1867 - 506 pages
...Collecting the above results, marked (/), (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... | |
 | Joseph Dienger - Trigonometry - 1867 - 392 pages
...und cos (a — b) folgen aus den erstem, wenn man — b für 4- b setzt. Denn dann heissen dieselben sin (a — b) = sin a, cos ( — b) + cos a sin ( — b) = sin a, cosb — cosa sinb , cos (a — b) = cos a cos ( — b) — sin a sin ( — b) = cos a cos b + sina,... | |
 | William Mitchell Gillespie - Surveying - 1868 - 530 pages
...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. 6. cos. («+&) = cos. a . cos. 6 — sin. « . sin, b. cos. (a — b) = cos. a... | |
 | Maximilien Marie - Functions - 1874 - 948 pages
...toujours les mêmes valeurs sin a cos b et cos a sin b, on trouvera nécessairement, suivant les cas, sin (a.-)- b) = sin a cos b + cos a sin b, sin (a -f- b} = sin a cos b — cos a sin b, sin (a -j- b) — cos a sin b — sin a cos b, les formules qui... | |
 | James Hamblin Smith - Trigonometry - 1877 - 244 pages
...(4) (5) sin0+cos0=V2. (6) 120. Collecting tho formulae of Arts. 117, 118, we next arrange them thus : sin (A + B) = sin A . cos B + cos A . sin B, sin (AB) = &inA.cosB-coaA.amB, coa(A—B)=coaA.coaB + amA . ,sin .//, cos (A + B) = cos A . cos B - sin... | |
 | Lowis D'Aguilar Jackson - Surveying - 1880 - 526 pages
...they bear. Collection of Trigonometrical Formula. I. Functions of any two angles. sin (A +.Z?) = 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 5 + sin A sin B tan... | |
 | Elizabethan club - 1880 - 156 pages
...(90°+ A) = —sin A ; and solve the question sin $x = cos 5*. 3. Prove that, for all values of A and B, sin (A + B) = sin A cos B + cos A sin B, sin A+ sin B = 2 sin A+B cos AB. 2 2 4. In the equation giving cot A in terms of cot 2A, cot A=cot zA+... | |
 | John Bascombe Lock - 1882 - 378 pages
...1G2. To express the Trigonometrical Ratios of the angle 2 A in terms of those of the angle A. Since sin (A + B) = sin A . cos B + cos A . sin B ; .-. sin (A + A) = sin A . cos A +cos A . sin A ; .: sin 2A = 2 sin A . cos A .................. (1). Also, since... | |
 | 1882 - 486 pages
...A 1 — tan A same as before found, and which consequently verifies these results. Sin (A + B) Bin (A — B) = (sin A cos B + cos A sin B) (sin A cos B — cos A Bin B) = sin' A cos* B — cos' A sin' B = sin' A (1 — sin' B) — sin* B (1 - sin'... | |
 | William Thomas Jeffcott - 1883 - 232 pages
...A = v/1 - sin2 A = VI + tans A — \/l + tan2 A , sec A = v/1 + tau2 A coscc A = v/1 + cot2 A. siu (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 + cos A sin B tan... | |
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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... 
