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\[(\sin 2t-\cos 2t)^{2}=1-\sin 4t\]
SQ(SIN2t)-2SIN2tCOS2t+SQ(COS2t) 2SIN2tCOS2t=SIN4t SQ(SIN2t)+SQ(COS2t)=1 Finally, SQ(SIN2t)+2SIN2tCOS2t+SQ(COS2t) =-SIN4t+1
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