Comment #1 on issue 1395 by kazuo.thow: trigsimp doesn't simplify an
expression that == 1
http://code.google.com/p/sympy/issues/detail?id=1395
Just for the sake of making a note of it here - using the recursive=True
option in trigsimp gives you the expected result:
In [1]: a, b = symbols('ab')
In [2]: expr = cos(a)**2 + sin(a)**2*sin(b)**2 +
cos(a)**2*cos(b)**2*tan(a)**2
In [3]: trigsimp(expr, recursive=True)
Out[3]: 1
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