 | Francis Nichols - Plane trigonometry - 1811 - 162 pages
...as the revolving radius CB passes the centre C, changes its sign like the cosine, and is affirmative in the first and fourth quadrants, and negative in the second and third quadrants. In the first quadrant AH the secant increases from radius to infinity. In the second quadrant... | |
 | John William Colenso (bp. of Natal.) - 1851 - 382 pages
...secant being drawn in the direction from P towards A, instead of from A towards P: hence the secant is positive in the first and fourth quadrants, and negative in the second and third — a fact which we see yet more plainly by looking at the sign of At. The Student will easily be able... | |
 | Adrien Marie Legendre - Geometry - 1852 - 436 pages
...positive in the first and second quadrants, and negative in the third and fourth : 2d. The cosine is positive in the first and fourth quadrants, and negative in the second and third : In other words, 1st. The sine of an angle less than 180° is positive ; and the sine of an angle... | |
 | 1855 - 424 pages
...left. These two lines should obviously have opposite sides, and it is generally agreed to consular those which fall to the right of the vertical diameter...are positive in the first and fourth quadrants, and n.-gutive in the »ccond and third. The signs of the tangents are derived from those of the sines »nd... | |
 | Adrien Marie Legendre, Charles Davies - Geometry - 1857 - 442 pages
...positive in the first and second quadrants, and negative in the third and fourth : • 2d. The cosine is positive in the first and fourth quadrants, and negative in the second and third : In other words, 1st. The sine of an angle less than 180° is positive ; and the sine of an angle... | |
 | Elias Loomis - Logarithms - 1859 - 372 pages
...falls on the left. These two lines should obviously have opposite signs, and it is generally agreed to consider those which fall to the right of the vertical...(69.) The signs of the tangents are derived from those of the sines and cosines. For tang. = — . " (Art. 28). Hence, cos. when the sine and cosine have... | |
 | Elias Loomis - Geometry - 1871 - 302 pages
...falls on the left. These two lines should obviously have opposite signs, and it is generally agreed to consider those which fall to the right of the vertical...(69.) The signs of the tangents are derived from those of the sines and cosines. For tang. = — ' (Art. 25). Hence cos. v when the sine and cosine have like... | |
 | Charles Davies - Geometry - 1872 - 464 pages
...are positive in the first and third quadrants, and negative in the second and fourth. The secant is positive in the first and fourth quadrants, and negative in the second and third. The cosecant is positive in the first and second quadrants, . and negative in the third and fourth.... | |
 | Adrien Marie Legendre - Geometry - 1874 - 500 pages
...is positive in _ the first and second quadrants, and negative in the third and fourth. The cosine is positive in the first and fourth quadrants, and negative in the second and third. The versed-sine and the co-versed-sine are always positive. The tangent and cotangent are positive... | |
 | James Edward Oliver - Trigonometry - 1881 - 140 pages
...r is measured along the side of the angle, and is therefore always positive ; [§ 6 and -.• x is positive in the first and fourth quadrants, and negative in the second and third ; [§ 5 and -.• y is positive in the first and second quadrants, and negative in the third and fourth... | |
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That is, the sines are positive in the first and second quadrants, and negative in the third and fourth. 
