найдите sin( x +pi/6), если sin x = -0.8 и 3pi/2. Created by Solнышко. algebra-ru

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Solнышко @Solнышко

July 2022 1 51 Report

найдите sin( x +pi/6), если sin x = -0.8 и 3pi/2

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ProGroomer

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$x\in({3\pi\over2};2\pi)\Rightarrow \cos(x)\ \textgreater \ 0 \\sin(x+{\pi\over6})=\sin(x)\cos({\pi\over6})+cos(x)sin({\pi\over6})=-0.4\sqrt3+{1\over2}\sqrt{1-0.64}=\\=-0.4\sqrt3+0.3$

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