Реши уравнения

1. \(\sin \left( x-\dfrac{\pi}{4} \right)-\cos \left( x+\dfrac{3\pi}{4} \right)=1\) ;

2. \(\sin \left( 4x+\dfrac{\pi}{4} \right)+\cos \left( 4x+\dfrac{5\pi}{4} \right)=\sqrt{2}\) .

Ответ:

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2. [ ], \(n\in \Z\) .