 | Charles William Hackley - Trigonometry - 1838 - 338 pages
...a cos b + sin b coso sin(o + 6)= r- ' ' ' (6) R read thus : the sine of the sum of any two arcs is equal to the sine of the first into the cosine of the second plus the sine of the second into the cosine of the first, divided by radius. If R = 1 the denominator... | |
 | George Clinton Whitlock - Mathematics - 1848 - 340 pages
...the second. II. The sine of the difference of two arcs is equal to the sine of the first multiplied into the cosine of the second, minus the cosine of the first multiplied into the sine of the second. III. The cosine of the sum of two arcs is equal to the cosine... | |
 | Charles William Hackley - Trigonometry - 1851 - 536 pages
...two surfaces (See Art. 64, IX.). Formula (2) is read thus : the sine of the sum of any two arcs is equal to the sine "of the first into the cosine of the second plus the sine of the second into the cosine of the first, divided by radius. Again, c R = COS,CX ci... | |
 | Adrien Marie Legendre - Geometry - 1852 - 436 pages
...a cos 6 — cos a sin b ; . . (a) that is, 5%« sme of the difference of any two arcs or angles is equal to the sine of the first into the cosine of the secondj 'minus the cosine of the first into the sine of the second. It is plain that the formula is... | |
 | Charles Davies - Geometry - 1854 - 436 pages
...a cos 6 — cos a sin 6 ; . . (a) that is, The sine of the difference of any two arcs or angles is equal to the sine of the first into the cosine of...cosine of the first into the, sine of the second. It is plain that the formula is 1 equally true in whichever quadrant the vertex of the angle C be placed... | |
 | Adrien Marie Legendre, Charles Davies - Geometry - 1857 - 442 pages
...a cos b — cos a sin b ; . . (a) that is, The sine of the difference of any two arcs or angles is equal to the sine of the first into the cosine of...the cosine of the first into the sine of the second. It • is plain that the formula ' is equally true in whichever quadrant the vertex of the angle C... | |
 | Joseph Allen Galbraith - Mathematics - 1866 - 132 pages
...propositions, which may be deduced as follows :— PEOPOSITION 1. The sine of the sum of two angles is equal to the sine of the first into the cosine of the second, together with the cosine of the first into the sine of the second. Statement. — Let the angles be... | |
 | Adrien Marie Legendre - Geometry - 1871 - 490 pages
...have, sin (a + b) — sin a cos b + cos a sin b; . (&.). fhat is, the sine of the sum of two arcs, is equal to the sine of the first into the cosine of the second, plus the cosine of the first into the sine of the second. Since the above formula is true for any values... | |
 | Charles Davies - Geometry - 1872 - 464 pages
...— b) = sin a cos b — cos a sin b ; • (3.) that is, the sine of the difference of two arcs, is equal to the sine of the first into the cosine of...second, minus the cosine of the first into the sine of tJ>e second. If, in Formula (53), we substitute (90° — a), for a, we have, sin (90°— a — b)... | |
 | Edward Olney - Trigonometry - 1872 - 216 pages
...8U^I OR DIFFERENCE OF ANGLE8 (OR ARC8). 48. Prop. — The sine of the sum of two angles (or arcs) is equal to the sine of the first into the cosine of the second, plus the cosine of the first into the sine of the second. Thus letting x and y represent any two angles... | |
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The sine of the difference of any two arcs or angles is equal to the sine of the first into the cosine of the second, minus the cosine of the first into the sine of the second. 
