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

With mods of issue 1694:

solve((a**2 + 1) * (sin(a*x) + cos(a*x)), x)
[-I*log(I*(1/(1 - I))**(1/2)*(1 + I)**(1/2))/a, -I*log(-I*(1/(1 - I))**(1/2)*(1 + I)**(1/2))/a]

But what simplification do we need to show that this satisfies the original equation since the following doesn't look like zero:

(sin(a*x)+cos(a*x)).subs(x, ans[0])
-sin(I*log(I*(1/(1 - I))**(1/2)*(1 + I)**(1/2))) + cos(I*log(I*(1/(1 - I))**(1/2)*(1 + I)**(1/2)))

Perhaps this is a problem with using the Euler transform of trig functions to obtain a solution.

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