 | John Bonnycastle - 1818 - 488 pàgines
...be the same for each. Whence Sin (— a) = — sin a; cos (•—a)= + cos a Tan (— a) = — tan a; cot (— a) = — cot a Sec (—a)== + sec a\ cosec (— a) = — cosec« See. 13. Also, if it be made to denote the semicircumference of a circle, the radius of which is r,... | |
 | 1835 - 684 pàgines
...- —F = - — = - sin. A cos. (— A) = CP„ CM civ CP CM cT = cos. A Л tan. ( — A) = — tan. A ; cot. (— A) = — cot. A sec. ( — A) = sec. A ; cosec. (— A) = — cosec. A vers. (— A) = vers. A. (33.) It will be easily seen that all the formulae of this section hold for... | |
 | James Hann - 1854 - 138 pàgines
...cos JVOP' = cos (- 4 = . . -• cos A = cos (- A). From these we readily see that tan A = - tan (- A), cot A = - cot (- A), sec A = sec (— A), cosec A = — cosec (— A). After one revolution is completed, the sines, cosines, &c., take the same values as before; therefore... | |
 | William Mitchell Gillespie - 1855 - 436 pàgines
...180°) =-cosec. a°. sin. (— a°)=— sin. a°. cos. (— a°) = cos. a°. tan. ( — a°) = — tan. a°. cot. ( — a°) = — cot. a°. sec. (— a°) = sec. a°. cosec. (— a°) =— cosec. a°. An infinite number of arcs have the same trigonometrical lines ; for, an arc a, the same arc plus a... | |
 | Charles Davies, William Guy Peck - 1855 - 592 pàgines
...— д) = — sin a ; cos ( — a) = cos a ; vers-Kin( — e.) = vcr-sin a; tan( — a)= — taño ; cot ( — a) = — cot a : sec ( — a) = sec a ; co-sec (— a) = — co-sec a. It' we suppose the arc to increase continuously from 0е to 90°, we ehall have the following results.... | |
 | Adam ritter von Burg - 1859 - 708 pàgines
...a) = cos K, taug (— a) = — lang u, cot ( — «) = — cot a, sec ( — a) = sec K, cosee ( — a) = — cosec a, Relationen, welche, wie leicht zu sehen, für jeden Werth von a gelten. §. 12, Sind die beiden Durchmesser A ß, A' B' (Fig. 2) wieder auf einander perpendikulär und die... | |
 | Adrien Marie Legendre - 1863 - 464 pàgines
...the following relations, viz. : gin (— a) = — sin a ; cos (— a) = cos a ; tan (— a) = — tan a ; cot (— a) = — cot a ; sec (— a) = sec a ; cosec (— a) = — cosec a. M FUNCTIONS OF ABCS FORMED BY ADDING AN AEG TO, OR SUBTRACTING IT FROM ANY NUMBER OF QUADRANTS. 63.... | |
 | Aaron Schuyler - 1864 - 506 pàgines
...reciprocal of the sine, we have sin ( — a) — — sin a, cos ( — a) = cos a, tan ( — a) = — tan a, cot ( — a) = — cot a, sec ( — a) = sec a, cosec (—a) — — cosec a. 86. Functions of (« 90° + a). 1. Let n be 1 and a be negative. From the figure of the last article,... | |
 | Adrien Marie Legendre - 1874 - 500 pàgines
...the following relations, viz. : sin (— a) = — sin a ; cos (— a) = cos a ; tan (—a) = — tan a ; cot (— a) = — cot a ; sec ( - a) = sec a ; cosec ( — a) = — cosec a. T'" FUNCTIONS OF AECS FORMED BY ADDING AN ARC TO, OB SUBTRACTING IT FROM ANY NUMBER OF QUADRANTS. 63.... | |
 | Aaron Schuyler - 1875 - 284 pàgines
...reciprocal of the sine, we have sin ( — a) = — sin a, cos ( — a) = cos a, tan ( — a) = — tan a, cot ( — a) = — cot a, sec ( — a) — sec a, cosec ( — a) — — cosec a. 86. Functions of О 90° + a). 1. Let n be 1 and a be negative. From the figure of the last article,... | |
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... sin ( — a) — — sin a, cos ( — a) = cos a, tan ( — a) = — tan a, cot ( — a) = — cot a, sec ( — a) = sec a, cosec (—a) — — cosec a. 
