Доказать тождество: 2sint sin2t+cos3t =cost. Created by anet20132000. algebra-ru

Доказать тождество: 2sint sin2t+cos3t =cost...

anet20132000 @anet20132000

June 2022 1 19 Report

Доказать тождество: 2sint sin2t+cos3t =cost

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мохинсан

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$2\sin t\sin2t+\cos3t=\cos t\\
2\sin t\sin2t+\cos3t=2\sin t\sin2t+\cos(2t+t)=\\
=2\sin t\sin2t+\cos2t\cos t-\sin 2t\sin t=\\
=\cos2t\cos t+\sin2t\sin t=\cos(2t-t)=\cos t$

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Answers & Comments

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