Автор - klauriaefremova

Cos(225°-150°)вычислить. Sin(225°-150°)

Ответ

Автор - igundane

cos(225°-150°)=cos(75°)=cos(30°+45°)=cos(30°)cos(45°)-sin(30°)sin(45°)=frac{sqrt{3} }{2}*frac{sqrt{2} }{2}-frac{1}{2} *frac{sqrt{2} }{2} =frac{sqrt{6} -sqrt{2} }{4}

sin(225°-150°)=sin(75°)=sin(30°+45°)=sin(30°)cos(45°)+cos(30°)sin(45°)=frac{1}{2}*frac{sqrt{2} }{2} + frac{sqrt{3} }{2}*frac{sqrt{2} }{2}=frac{sqrt{6} +sqrt{2} }{4}

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