 | Andrew Hall Holt - 1916 - 152 sider
...sin s • sin p sin s • sin p + cos ^ • cos p — cos z sin s • sin p From plane trigonometry: cos ( A — B ) = cos A • cos B + sin A • sin B and: 2 sin2 A/2 = 1 — cos A Substituting: . Z cos (s — p) — cos z 2 sin2 — = - ; 2 sin s • sm... | |
 | William Edward Ninde - 1920 - 738 sider
...Assume the cranks to move from a symmetrical position through the angle A. Then from trigonometry: cos (A + B) = cos A cos B — sin A sin B. and: cos (A — B) = cos A cos B + sin A sin B. Adding together gives : cos (A + B) + cos (A - B) = 2 cos... | |
 | K. U. Ingard - 1988 - 618 sider
...respectively. Then, applying the trigonometric relations sin (a + b) = sin (a) cos (b) + cos (a) sin (b) and cos (a + b) = cos (a) cos (b) — sin (a) sin (b), and collecting terms, we can express the left hand side of the equation in the form С cos (coi) + S sin... | |
 | Alan Jeffrey - 2004 - 896 sider
...< J-« Iя for w / n for w = и ф 0. Solution This time we start from the trigonometric identities cos (A + B) = cos A cos B — sin A sin B and cos (A — B) = cos A cos B + sin A sin B. Subtracting the first result from the second gives cos (A... | |
 | Ed Da Silva - 2001 - 442 sider
...little trigonometry9 shows that (8.37) sn < = 0.5 (cos[(<ur - cov)t + 0] - cos (<ur + cov)t + <t>] 9 cos (A - B) = cos A cos B + sin A sin B and cos (A+B) = cos A cos B - sin A sin B and subtracting the two equations yields rvv = sm(cort+<f>) sin... | |
 | 280 sider
...subtraction, we have and sin (.4 + B)- sin (A -B) = 2 cos A sin B (2). From the same articles we have, cos ( A + B) = cos A cos B — sin A sin B, and cos (A — B) = cos A cos B + sin A sin 5. Hence, by addition and subtraction, we have and cos (AB)-... | |
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B) = cos A cos B — sin A sin B, (6a) cos (A — B) = cos A cos B + sin A sin B... 
