| Dionysius Lardner - Plane trigonometry - 1828 - 434 pages
...polar triangle by changing the sides into the supplements of the angles, and vice 'versa. But since the sine and cosecant of the supplement of an angle are the same as those of the angle itself, and the cosine, tangent, cotangent, and secant of the supplement only... | |
| Encyclopedias and dictionaries - 1832 - 636 pages
...polar triangle by changing the sides into the supplements of the angles, and vice versa. But since the sine and cosecant of the supplement of an angle are the same as those of the angle itself, and the cosine, tangent, cotangent, and secant of the supplement only... | |
| Benjamin Peirce - Plane trigonometry - 1845 - 498 pages
...N) = sec. N (114) cosec. ( — N) = — cosec. N; (H5) so that the cosine and secant of the negative of an angle are the same with those of the angle itself; and the sine, tangent, cotangent, and cosecant of the negative of the angle are the negative of those of the... | |
| Benjamin Peirce - Trigonometry - 1852 - 398 pages
...— N) = — tang. N (100) cotan. (180° — N) = — cotan. N (101) sec. (180° — N) = — sec. N (102) cosec. (180° — N)= cosec. N; (103) that is,...proposition, that the sine and cosecant of an obtuse angle arc positive, while its cosine, tangent, cotangent, and secant are negative. This proposition must... | |
| Benjamin Peirce - Trigonometry - 1852 - 382 pages
...zz — cotan. IV (101) sec. (180° — IV) = — sec. IV (102) cosec. (180° — IV) — cosec. IV; (103) that is, the sine and cosecant of the supplement...tangent, cotangent, and secant of the supplement are the negativeof those of the angle. 62. Corollary. Since, when an angle is acute its supplement is obtuse,... | |
| Benjamin Peirce - Plane trigonometry - 1861 - 394 pages
...sec. IV (102) 4 ' — cos. N ' cosec. (180° — IV) = -^~,T = cosec. IV; (103) sin. IV that is, iJie sine and cosecant of the supplement of an angle are...tangent, cotangent, and secant of the supplement are the negatives of those of the angle. 62. Corollary. Since every obtuse angle is the supplement of an acute... | |
| Benjamin Peirce - Trigonometry - 1861 - 396 pages
...N}= 1 — ,-.=—860. N (102) J — cos. N cosec. (180° — N)= -T— ,, = cosec. N; (103). Siii. JT that is, the sine and cosecant of the supplement of...those of the angle itself ; and the cosine, tangent, vAanyent, and secant of the supplement are the negatives of those of the angle. 62. Corollary. Since... | |
| Benjamin Greenleaf - Geometry - 1862 - 532 pages
...b, (48) sec (180° — b) = _losb = —sec b, (49) cosec (180° — 6) = \ = cosec b ; (50) 311' 0 that is, the sine and cosecant of the supplement of an angle are the same as those of the angle itself; and the cosine, tangent, cotangent, and secant are the negatives of those... | |
| Benjamin Greenleaf - Geometry - 1862 - 518 pages
...sec (180° — b) = __losb = —sec b, (49) cosec (180° — 6) = .* - = cosec b; (50) that is, <Ae sine and cosecant of the supplement of an angle are the same as those of the angle itself; and the cosine, tangent, cotangent, and secant are the negatives of those... | |
| Benjamin Greenleaf - Geometry - 1863 - 504 pages
...b; (50) x ' sin bv ' that is, <Ae sine awe? cosecant of the supplement of an angle are the same as those of the angle itself; and the cosine, tangent, cotangent, and secant are the negatives of those of the angle. 78. It follows from the preceding article, that the sine and... | |
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