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Question Number 166719 by mathlove last updated on 26/Feb/22

sin xcos xcos 2x=a  any price to a  is corect the answer    a=?

$$\mathrm{sin}\:{x}\mathrm{cos}\:{x}\mathrm{cos}\:\mathrm{2}{x}={a} \\ $$$${any}\:{price}\:{to}\:{a} \\ $$$${is}\:{corect}\:{the}\:{answer}\:\:\:\:{a}=? \\ $$

Commented by cortano1 last updated on 26/Feb/22

 sin 2x cos 2x = 2a   sin 4x = 4a   a=((sin 4x)/4)

$$\:\mathrm{sin}\:\mathrm{2x}\:\mathrm{cos}\:\mathrm{2x}\:=\:\mathrm{2}{a} \\ $$$$\:\mathrm{sin}\:\mathrm{4}{x}\:=\:\mathrm{4}{a} \\ $$$$\:{a}=\frac{\mathrm{sin}\:\mathrm{4}{x}}{\mathrm{4}} \\ $$

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