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Trig/Hyper Functions

Trigonometric and Hyperbolic Series
 
 
The below series have connections to sin, cos, sinh, cosh, tanh, coth, and other constants.
 
 
 
 
 
 
 
Rewrite the above series in summation notation,
.
 
 

 

or

 

 
 
 
 
 
 
or
 
 
or