 | Benjamin Peirce - 1845 - 498 pàgines
...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... | |
 | Benjamin Peirce - 1845 - 498 pàgines
...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... | |
 | William Chauvenet - 1852 - 268 pàgines
...— 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 - 1861 - 394 pàgines
...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 - 1862 - 532 pàgines
...— 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 - 1862 - 518 pàgines
...— 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 - 1863 - 504 pàgines
...— 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 - 1864 - 324 pàgines
...(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... | |
 | Benjamin Greenleaf - 1869 - 516 pàgines
...(48) sec (180° — 6) = -1-j = —sec 6, (49) cosec (180°— 6) = -jiy- = cosec 6; (50) that is, <Ae sine and cosecant of the supplement of an angle are...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 - 1873 - 288 pàgines
...cos. B whence by (5) and (9) tan. (180° — B)= — tan. B cot. (180° — B) = — cot. 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. 81 « For angles which exceed 180°. In (13) and (18) make... | |
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... 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... 
