根据下列条件求函数 f(x)=sin(x+π/4)+2sin(x-π/4)-4cos2x+3cos(x+3π/4) 的值:(1)x=π/4(2)x=3π/4
人气:105 ℃ 时间:2020-01-27 21:37:18
解答
(1)f(x)=sin(π/4+π/4)+2sin(π/4-π/4)-4cosπ/2+3cos(π/4+3π/4)=sin(π/2)+2sin0-4*0+3cosπ
=1+0-4*0+3*(-1)=-2
(2)把x=3π/4代入,得f(x)=0+2-4*0+3*0=2
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