Solve, NSolve wrong for relatively simple trig equation – mathematica.stackexchange.com

I get a no result with this: Solve[((2 a^2 Cos[t] - 2 a^2 b Cos[t] + Sqrt[2] Sqrt[-a^2 b^2 + a^4 b^2 + 2 a^2 b^3 + a^2 b^2 Cos[2 t] + a^4 b^2 Cos[2 t] - 2 a^2 b^3 Cos[2 ...

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