... b) = sec b, cosec ( — b) = — cosec b ; (53) that is, the cosine and secant of the negative of an angle are the same as those of the angle itself ; and the sine, tangent, cotangent, and cosecant of the negative of an angle are the negatives of... Plane and Spherical Trigonometry - Page 100by Alfred Hix Welsh - 1894 - 206 pagesFull view - About this book
| 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...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
...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...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
...cotan. N (101) sec. (180° —N) = — sec. N (102) cosec. (180° — N) = cosec. JV; (103) that is. the sine and cosecant of the supplement of an angle are the same with those of the angle itself and the cosine, tangent, cotangent, and secant of the supplement are... | |
| Benjamin Peirce - Plane trigonometry - 1845 - 498 pages
...cotan. N (101) sec. (180° — N) = — sec. If (102) cosec. (180° — N) = cosec. N ; (103) that is. the sine and cosecant of the supplement of an angle are the same with those of the angle itself and the cosine, tangent, cotangent, and secant of the supplement are... | |
| William Chauvenet - 1852 - 268 pages
...— cot y (65) sec (180° —y) = — secy cosec (180° — y) = cosec y (66) or, the sin. and cosec. of the supplement of an angle are the same as those of the angle itself ; and the cos., tan., cot., and sec. are the negative of those of the angle itself. 40. If y is acute (that is,... | |
| 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 the same with those of the angle itself ; and the cosine, tangent, cotangent, and secant of the supplement are... | |
| Benjamin Greenleaf - Geometry - 1862 - 532 pages
...— b) = sec b, cosec ( — b) = — cosec b ; (53) that is, the cosine and secant of the negative of an angle are the same as those of the angle itself; and the sine, tangent, cotangent, and cosecant of the negative of an angle are the negatives of those of the... | |
| Benjamin Greenleaf - Geometry - 1862 - 518 pages
...— 6) = sec b, cosec ( — b) = — cosec b ; (53) that is, the cosine and secant of the negative of an angle are the same as those of the angle itself; and the sine, tangent, cotangent, and cosecant of the negative of an angle are the negatives of those of the... | |
| Benjamin Greenleaf - Geometry - 1863 - 504 pages
...— b) = sec b, cosec ( — b) = — cosec b ; (53) that is, the cosine and secant of the negative of an angle are the same as those of the angle itself ; and the sine, tangent, cotangent, and cosecant of the negative of an angle are the negatives of those of the... | |
| William Frothingham Bradbury - Plane trigonometry - 1864 - 324 pages
...(180° — B) = — cot. B, sec. (180° — B) = — sec. B, cosec. (180° — B) = cosec. B. That is, the sine and cosecant of the supplement of an 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... | |
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