Question

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Answer 1

$\displaystyle\bf\\4Sin\Big(\frac{3\pi }{2}-5x\Big)=1\\\\4Cos5x=1\\\\\\4Sin3x\cdot Sin2x-4Cos2x\cdot Cos3x=4(Sin3x\cdot Sin2x-Cos2x\cdot Cos3x)=\\\\\\=4\cdot\Big(-Cos(2x+3x)\Big)=-4Cos5x=-1$