 | Dionysius Lardner - Plane trigonometry - 1828 - 434 pages
...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 differ from those of the angle itself in sign, it follows that it is allowed in any formulae to... | |
 | Encyclopedias and dictionaries - 1832 - 636 pages
...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 differ from those of the angle itself in sign, it follows that it is allowed in any formulae to... | |
 | Benjamin Peirce - Plane trigonometry - 1845 - 498 pages
...— N) = — tang. N (100) cotan. (180° — N) = — cotan. N (101) sec. (180° — N) = — sec. If (102) cosec. (180° — N) = cosec. N ; (103) that...proposition, that the sine and cosecant of an obtuse angle are positive, while its cosine, tangent, cotangent, and secant, are negative. This proposition must... | |
 | Benjamin Greenleaf - Geometry - 1862 - 532 pages
...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 of the angle. 78. It follows from the preceding article, that the sine and... | |
 | Benjamin Greenleaf - Geometry - 1862 - 518 pages
...= .* - = 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 of the angle. 78. It follows from the preceding article, that the sine and... | |
 | 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... | |
 | William Frothingham Bradbury - Plane trigonometry - 1864 - 324 pages
...(180° — B) = cosec. B. 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 negative of those of the angle. 66. For angles which exceed 180°. In (15) and (16) make A... | |
 | William Frothingham Bradbury - Geometry - 1873 - 288 pages
...(180° — B) = — cot. B 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 negative of those of the angle. 81 « For angles which exceed 180°. In (13) and (18) make... | |
 | Benjamin Greenleaf - Trigonometry - 1876 - 204 pages
...— 4j- = cosec u; (50) 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 of the angle. 78. It follows from the preceding article, that the sine and... | |
 | Alfred Hix Welsh - Plane trigonometry - 1894 - 228 pages
...See formulas (b). Cor. II. — 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 are the negatives of those angles. See formulas (c). Cor. III. — The functions of 360° — y are the same... | |
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... 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 of the angle. 