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Анатбат43
@Анатбат43
August 2022
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найти значение cos(a - b + п/2) + 2sin(a + п)cos(b - п), если a = 0,1п, b = 0,15п
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найти значение cos(a - b + п/2) + 2sin(a + п)cos(b - п), если a = 0,1п, b = 0,15п
cos(a - b + п/2) + 2sin(a + п)cos(b - п)= -sin(a-b)+2(-sin(a)·(-1)·cos(b))=
=sin(b)cos(a)-sin(a)cos(b)+2sin(a)·cos(b)=sin(b)cos(a)+sin(a)cos(b)=sin(a+b)=
=sin(0,1п+0,15п)=sin(п/4)=(√2)/2
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найти значение cos(a - b + п/2) + 2sin(a + п)cos(b - п), если a = 0,1п, b = 0,15пcos(a - b + п/2) + 2sin(a + п)cos(b - п)= -sin(a-b)+2(-sin(a)·(-1)·cos(b))=
=sin(b)cos(a)-sin(a)cos(b)+2sin(a)·cos(b)=sin(b)cos(a)+sin(a)cos(b)=sin(a+b)=
=sin(0,1п+0,15п)=sin(п/4)=(√2)/2