PSA: Hyperbolic vs Trigonometric Sin and Cosine

Saturday, 9 June 2018

11:02 PM

Machine generated alternative text:
We are now in a position to appreciate why these functions are called 'hyperbolic cosine' and 
'hyperbolic sine.' First, we examine their similarity to the trigonometric cosine and sine functions. 
The sine and cosine functions have the following properties: 
—(cosx) — 
sin 
cos is an even function 
smx — cosx 
sin is an odd function 
cos sin a: — 1 
The functions Sinh and cosh have analogous properties (with the occasional adjustment of a negative 
sign): 
(cosh x) Sinh 
cosh is an even function 
cos 
(sinhx) — cos 
Sinh is an odd function 
Sinh x — 1.

 

 

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