 | 1806 - 604 σελίδες
...sum of the series, a. sine of go0-f-/>z+&.sineof 9o°-\-p-}-qz -\-c sine of QQ" -\-p-\-iq.z &c. or because the sine of an arc is equal to the sine of 180° — that arc, we shall have the sum of the series a. sine of 90°— pz~}-b. sine of 90° —... | |
 | Thomas Keith - 1810 - 478 σελίδες
...AC : sine AGC And by comparing these two proportions radius : sine GAC : : sine AEC : sine AGc. But the sine of an arc is equal to the sine of its supplement, therefore sine GAC=sine GAK, and GAK is the complement of CAE, therefore sine of GAK=:cosine GAE, hence... | |
 | Miles Bland - 1819 - 442 σελίδες
...algebraic sign is positive, and for arcs which terminate in the two next it is negative. (20.) COR. The sine of an arc is equal to the sine of its supplement. For PE is equal to the sine of CBP which is the supplement of A P. Thus 48°. 15' being the supplement... | |
 | Miles Bland - 1819 - 444 σελίδες
...algebraic sign is positive, and for arcs which terminate in the two next it is negative. (20.) COR. The sine of an arc is equal to the sine of its supplement. For PE is equal to the sine of CBP which is the supplement of A P. Thus 48°. 15' being the supplement... | |
 | Thomas Keith - 1826 - 504 σελίδες
...; sine AGC And by comparing these two proportions radius : sine GAC : : sine ЛЕС : sine AGC. But the sine of an arc is equal to the sine of its supplement, therefore sine GAC=sine GAK, and GAK is the complement of GAE, therefore sine of G AK =cosine GAE,... | |
 | Charles Davies - 1830 - 390 σελίδες
...(33). But FH is the sine of the arc GF, the supplement of ABF (29), and OH is its cosine (31) ; hence, the sine of. an arc is equal to the sine of its supplement ; and the cosine of an angle, to the cosine of its supplement. Furthermore, AQ is the tangent of the... | |
 | George Peacock - 1830 - 732 σελίδες
...equal to the sine of Q. =-co»9. cos (TT — 6) 2 = — cos0: for er = 6~* =s — 1In other words, the sine of an arc is equal to the sine of its supplement, but the cosine of an arc is equal to the cosine of its supplement affected with the sign — . 479.... | |
 | 1886 - 934 σελίδες
...(1) :о-Ь :: tan è (А + В): tan J(AB) . (2) :_ i л / l « " ' in 4 А =- . /'(i »-*)(*»6с (3) The sine of an arc is equal to the sine of its supplement: hrii'-f. when an angle is determined by means of its sin«, there may be two solution)*. Whether there... | |
 | Charles Davies - 1837 - 342 σελίδες
...secant. But FH is the sine of the arc GF, which is the supplement of AF, and OH is its cosine : hence, the sine of an arc is equal to the sine of its supplement ; and the cosine of an arc is equal to the cosine of its supplement.* Furthermore, AQis the tangent... | |
 | Thomas Keith - 1839 - 498 σελίδες
...GAC : : AC : sin AGC And by comparing these two proportions rad : sin GAC : : sin AEC : sin AGC. But the sine of an arc is equal to the sine of its supplement, therefore sin GAC =. sin GAK, and GAK is the complement of GAE, therefore sin of GAK=COS GAE, hence... | |
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FH is the sine of the arc GF, which is the supplement of AF, and OH is its cosine ; hence, the sine of an arc is equal to the. sine of its supplement ; and the cosine of an arc is equal to the cosine of its supplement* Furthermore... 
