Cosecant

SInaA Coiina A Tangent A Cotangent A Secant A Cosecant A... 

A natural question that arises is whether there is any correlation between Si—O—Si (T——T) angles (0) and Si—O (T— X) bond lengths, /. Geometrically, the Si Si(T T) distance, d, and I are related by the expression, / = (d/2) cosec (0/2). A correlation between / and 0 should exist when cations are in contact d is constant). When 0 is large, no Si Si contact exists and therefore there should be no correlation between d and /. A correlation would exist between / and d when 0 < 145°, thus indicating that tetrahedral structures are determined by T— X and T T interactions rather than X X interactions. 

Three further trigonometric functions,cosecant, secant and cotangent, are provided by the reciprocals of the basic functions ... 

Give the domains of the cotangent (cot) and cosecant (cosec) functions. 

The other hyperbolic functions, tanh, cosech, sech andcoth, defined in terms sinh and cosh, are the hyperbolic analogues of the functions tan, cosec, sec and cotan, and are defined as follows ... 

This result is that used by Rutherford in his original a-scattering experiments. Note that cosec(.x) = 1 /sin(.x), cosec-is the inverse function, and... 

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