 | Thomas Keith - 1839 - 498 pàgines
...tangent A, cotangent A, secant A, cosecant A, versed sine A, coversed sine A, are abbreviated into sin A, cos A, tan A, cot A, sec A, cosec A, vers A, covers A, respectively. The square or second power of sin A is written «n 2A, the cube or third power sin 3A,... | |
 | Harvey Goodwin - 1846 - 500 pàgines
...angle by some single letter, as for instance A ; and we write the names of the functions above defined thus, sin A, cos A, tan A, cot A, sec A, cosec A, vers A. 10. The meaning of these names, and the relations of the trigonometrical functions to each other, will... | |
 | Richard Dunkley Beasley - 1858 - 144 pàgines
...of any angle which contains a degrees, grades, or any other unit we may employ) are usually written sin a, cos a, tan a, cot a, sec a, cosec a. 10. The question here naturally arises, are these Trigonometrical ratios definite quantities for any... | |
 | Isaac Todhunter - 1860 - 318 pàgines
...subtracted from unity, the remainder is called the versed sine of A. If the sine of A be subtracted from unity, the remainder is called the coversed sine of A • the latter term however is rarely used in practice. 27. The words sine, cosine, &c. are usually abbreviated in writing... | |
 | Alfred Challice Johnson - 1865 - 166 pàgines
...and 1 - Cos. A is called Versa: e A. u 2 For the sake of brevity the above are usually written — Sin. A, Cos. A, Tan. A, Cot. A, Sec. A, Cosec. A, and Vers. A. 8. The Complement of an angle is its defect from 90°, and is written thus, 90° — A.... | |
 | Edward Atkins - 1874 - 426 pàgines
...SUVERSED SINE of the arc BC. Representing the arc BC by A, it is usual to write the above functions thus : — Sin A, cos A, tan A, cot A, sec A, cosec A, vers A, covers A, silvers A. By mere inspection, the student will see that the following relations hold : — 1 AS AT'... | |
 | Alfred Challice Johnson - 1882 - 182 pàgines
...A = Sec. A. Cosec. A. Cos. A Cos. A. Sec. A (14) Sin. A Cosec. A — Cot. A Cosec. A Tan. A. Cot. A Sin. A. Cos. A. Tan. A. Cot. A. Sec. A, Cosec. A ~~ Tan. A. Cot. A (17) (19) Sec. A Cos. A Sin.A.Cot.äA Sin. A Cos.A.Tan.2A ~ Tan. A. Cot. A Cos. A... | |
 | Edward Albert Bowser - 1894 - 206 pàgines
...be sub* The letters a, b, c are numbers, being the number of times the lengths of the aides contuin some chosen unit of length, tracted from unity, the...thus: sin A, cos A, tan A, cot A, sec A, cosec A, versA, covers A. The following is the verbal enunciation of these definitions : The sine of an angle... | |
 | Edward Albert Bowser - 1892 - 202 pàgines
...subtracted from unity, the remainder is called the versed sine of A. If the sine of A be subtracted from unity, the remainder is called the coversed sine...written thus : sin A, cos A, tan A, cot A, sec A, cosecA, vers A, covers A. The following is the verbal enunciation of these definitions : The sine of... | |
 | Henry Sinclair Hall, Samuel Ratcliffe Knight - 1893 - 434 pàgines
...of the circle in which an arc of 1 inch subtends an angle of 1' at the centre ? , 5. Prove that (1) (sin a + cos a) (tan a + cot a) = sec a + cosec a; (Z) (,/3 + 1 ) (3 - cot 30°) = tan3 60° - 2 sin 60°. 6. Find the angle of elevation of the sun when... | |
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If the cosine of A be subtracted from unity, the remainder is called the versed sine of A. If the sine of A be... 
