### Lexicographical Neighbors of Cosecs

### Literary usage of Cosecs

Below you will find example usage of this term as found in modern and/or classical literature:

**1.** *A Chapter in the Integral Calculus* by George Greenhill (1888)

"Similarly I cosecS-fô, usually expressed in the form log tan |$, when expressed as a
... leads to or, as a corrected integral, Í* J" = —cosh" (cosecS), ..."**2.** *Introduction to the Theory of Fourier's Series and Integrals* by Horatio Scott Carslaw (1921)

"... sina- da = In)0s = 1 s,na (=— **cosecs** -- ^— -,-^ r 1 aa. J0 ^ Since a/sin a
continually increases from 1 to oo, as a passes from 0 to TT, ..."**3.** *Algebra: An Elementary Text-book for the Higher Classes of Secondary Schools* by George Chrystal (1893)

"... **cosecs** by the following equations:— Tan 3 = Sin z/Cos z; Cot z = Cos ~/Sin
x • \ Sec * = I/Cos z; Cosec z = 1 /Sin z. ] ( '' In the first place, ..."**4.** *An Elementary Treatise on the Differential Calculus: Containing the Theory* by Benjamin Williamson (1877)

"Prove that a sec9 •+ i cosecS is a minimum when tan в = 2. Find when 4x' — 153!'
+ 12* — I is a maximum or minimum. Ans. x = \, a max., ж = 2, a min. 3. ..."**5.** *A Treatise on Dynamics of a Particle: With Numerous Examples* by Peter Guthrie Tait, William John Steele (1882)

"Shew that the intrinsic equation to the curve described is ssina = - (tan^J
sin*/9l (cot^J **cosecs**<f>d<f>, ..."**6.** *An Elementary Treatise on the Differential Calculus: Containing the Theory* by Benjamin Williamson (1889)

"Proceed as in the last, and we get —^—- = - -r-=- = - **cosecs** x. (15) , . d (cot
a;) i .. , , dx sin2 a? This result can also be derived from the preceding, ..."