 | John Bonnycastle - Trigonometry - 1818 - 488 pages
...will be equal, but affected with contrary signs, while the cosines will 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... | |
 | William Mitchell Gillespie - Surveying - 1855 - 436 pages
...a°. cot. (a°+ 180°) = cot. a°. sec. (a°+ 180°) —-sec. a°. cosec. (a°+ 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... | |
 | Samuel H. Winter - 1864 - 348 pages
...Unit of circular measure = — = 57° -2957795 7Г = 206264" -8. 180° arc Д О __ -yf тг radius' Sin ( — A) = — sin A ; cos ( — A) = cos A; tan ( — A) = — tan A. Sin (90° + A) = cos A ; cos (90° + A) = — sin A ; tan (90° + A) = - tan A. Sin (180° — A) =... | |
 | Charles Davies - Geometry - 1872 - 464 pages
...estimated from A towards Z>, be numerically equal to AM; then, if we denote the arc AM by a, f" BT the arc AM'" will be denoted ^ by — a (Art. 48)....relations, viz. : sin (—a) = — sin a ; cos (— a) = cps a ; tan (— a) = — tan a ; cot (— «) = — cot a ; sec ( - a) = , sec a ; cosec (— a)... | |
 | Aaron Schuyler - Measurement - 1873 - 508 pages
...the cosine by the sine, taking the reciprocal of the cosine and the 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 (n 90°... | |
 | Adrien Marie Legendre - Geometry - 1874 - 500 pages
...estimated from A towards D, be numerically equal to AM ; then, if we denote the arc AM by a, f" g 1" the arc AM'" will be denoted by — a (Art. 48). All...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... | |
 | Aaron Schuyler - Measurement - 1875 - 284 pages
...the cosine by the sine, taking the reciprocal of the cosine and the 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°... | |
 | William Thomas Jeffcott - 1883 - 232 pages
...(180° + A) = - sin A ; cos (180° + A) = - cos A ; tan (180° - A) = - tan A. tan (180° + A) = tan A. sin ( - A) = - sin A. cos ( - A) = cos A. tan ( — A) = — tan A. GUANOES OF THE TlUGONOMUTIilCIAL RATIOS THROUGH THE FOUII QUADRANTS. NUMERICAL VALUES OP THE TRIGONOMETRICAL... | |
 | Edward Albert Bowser - Trigonometry - 1892 - 392 pages
...cos (180°+ A) =cos AOP' = ~f/ = =^~ - cos A, tan(180°+ A)=tanAOP' OM' •OM = tan A. 33. To prove sin (— A) = — sin A, cos (-A) = cos A, tan(— A) = — tan A. в Let OP and OP' be the positions of the radius for any equal angles AOP and AOP' measured from the... | |
 | George William Jones - Trigonometry - 1896 - 216 pages
...6. RATIOS OF RELATED ANGLES. THE RATIOS OF OPPOSITE ANGLES. THEOR. 5. If a be any plane angle, then: sin ( — a)— — sin a, cos (— a) = + cos a, tan ( — a)— — tan a, cot ( — a)— — cot a, sec (— a) = + sec a, csc ( — a)= — csc a. For, let XOP, XOP' be any opposite... | |
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ABM'" ; that is, the functions of — a are the same as the functions of 360° — a. From an inspection of the figure, we shall discover the following relations, viz. : sin (— a) = — sin a ; cos (— a) = cos a ; tan (—a) = — tan a ; cot (—... 
