题目内容
化简sin(x+60°)+2sin(x-60°)-
cos(120°-x)的结果是
______.
| 3 |
原式=sin(x+60°)-
cos[180°-(x+60°)]+2sin(x-60°)
=sin(x+60°)+
cos(x+60°)+2sin(x-60°)
=2sin(x+60°+60°)+2sin(x-60°)
=2sin(x-60°+180°)+2sin(x-60°)
=-2sin(x-60°)+2sin(x-60°)
=0.
故答案为0
| 3 |
=sin(x+60°)+
| 3 |
=2sin(x+60°+60°)+2sin(x-60°)
=2sin(x-60°+180°)+2sin(x-60°)
=-2sin(x-60°)+2sin(x-60°)
=0.
故答案为0
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