高一数学题
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此题的作法如下:
sin(x+60°)+2sin(x-60°)-(√3)cos(120°-x)
=sin(x+60°)+2sin(x-60°)+(√3)cos(x+60°)
=2{cos60°sin(x+60°)+sin (60°)(√3)cos(x+60°)]+2sin(x-60°)
=2sin(x+120°)+2sin(x-60°)
=0
此题的作法如下:
sin(x+60°)+2sin(x-60°)-(√3)cos(120°-x)
=sin(x+60°)+2sin(x-60°)+(√3)cos(x+60°)
=2{cos60°sin(x+60°)+sin (60°)(√3)cos(x+60°)]+2sin(x-60°)
=2sin(x+120°)+2sin(x-60°)
=0
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sin(x+60°)+2sin(x-60°)-(√3)cos(120°-x)
=sin(x+60°)+2sin(x-60°)+(√3)cos(x+60°)
=2{cos60°sin(x+60°)+sin (60°)(√3)cos(x+60°)]+2sin(x-60°)
=2sin(x+120°)+2sin(x-60°)
=0
=sin(x+60°)+2sin(x-60°)+(√3)cos(x+60°)
=2{cos60°sin(x+60°)+sin (60°)(√3)cos(x+60°)]+2sin(x-60°)
=2sin(x+120°)+2sin(x-60°)
=0
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