Status: Accepted
Owner: ----
Labels: Type-Enhancement Priority-Medium Simplify

New issue 2975 by [email protected]: Simplification of hypebolic identity.
http://code.google.com/p/sympy/issues/detail?id=2975

Now we have simplification of trigonometric Pythagorean identity:

    In [25]: (cos(x)**2 + sin(x)**2).simplify()
    Out[25]: 1

And analogous derived from it, e.g.

    In [7]: simplify(1 - sin(x)**2)
    Out[7]: cos(x)**2



But it seems that there are no analogical simplification for hyperbolic:

    In [26]: (cosh(x)**2 - sinh(x)**2).simplify()
    Out[26]: -sinh(x)**2 + cosh(x)**2

(must be 1)

The questions:

1. What is the status of it? (I didn't find the related issue, but may be it present)

2. For the trigonometry the function 'trigsimp' is used internally in 'symplify' (or it can be called directly). Should we add the hyperbolic maintaining to this function, or create analog of 'trigsimp' (e.g. 'hypersimp')?


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