Comment #6 on issue 1368 by [email protected]: solve((a**2 + 1) * (sin(a*x) + cos(a*x)), x) fails
http://code.google.com/p/sympy/issues/detail?id=1368

Should rewriting be part of solve's responsibility? This solves easily when re-written in terms of tan:

solve(((a**2 + 1) * (sin(a*x) + cos(a*x))).rewrite(tan), x)
[3*pi/(4*a), -pi/(4*a)]

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