решить:
sin(x+pi/12)cos(x-pi/12)=1/2
доказать тождество:
2sint sin2t+cos3t=cost
2sin(x+pi/12)cos(x-pi/12)=1
SIN(2x+pi/6)=1
2x+pi/6=pi/2+2pi n
2x=pi/3+2pi n
x=pi/6+pi n,neZ
д
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Answers & Comments
sin(x+pi/12)cos(x-pi/12)=1/2
2sin(x+pi/12)cos(x-pi/12)=1
SIN(2x+pi/6)=1
2x+pi/6=pi/2+2pi n
2x=pi/3+2pi n
x=pi/6+pi n,neZ
д