1. Sinx (Sin3x + sinx) + COSX (Cos3x - COSX)
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Step-by-step explanation:
Sinx (Sin3x + sinx) + COSX (Cos3x - COSX)
= sinxsin3x +sin²x + cosx cos3x - cos²x
= sinxsin3x + cosx cos3x - cos²x +sin²x
= cos(3x-x) - cos 2x
= cos 2x - cox 2x
= 0
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