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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... "
An Analytical Treatise on Plane and Spherical Trigonometry, and the Analysis ... - Pągina 72
per Dionysius Lardner - 1828 - 317 pągines
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An Elementary Treatise on Plane & Spherical Trigonometry: With Their ...

Benjamin Peirce - 1845 - 498 pągines
...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...
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An Elementary Treatise on Plane & Spherical Trigonometry: With Their ...

Benjamin Peirce - 1845 - 498 pągines
...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...
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A Treatise on Plane and Spherical Trigonometry

William Chauvenet - 1852 - 268 pągines
...— 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,...
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An Elementary Treatise on Plane and Spherical Trigonometry: With Their ...

Benjamin Peirce - 1861 - 394 pągines
...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...
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Elements of Plane and Spherical Trigonometry: With Practical Applications

Benjamin Greenleaf - 1862 - 532 pągines
...— 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...
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Elements of Geometry and Trigonometry: With Practical Applications

Benjamin Greenleaf - 1862 - 518 pągines
...— 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...
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Elements of Geometry: With Practical Applications to Mensuration

Benjamin Greenleaf - 1863 - 504 pągines
...— 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...
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Elements of Plane Trigonometry: And Their Application to the Measurement of ...

William Frothingham Bradbury - 1864 - 324 pągines
...(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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Elements of Geometry and Trigonometry: With Practical Applications

Benjamin Greenleaf - 1869 - 516 pągines
...(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...
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An Elementary Geometry and Trigonometry

William Frothingham Bradbury - 1873 - 288 pągines
...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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