题目内容
已知cos(π+α)=-
,且角α在第四象限,计算:
(1)sin(2π-α);
(2)
(n∈Z).

(1)sin(2π-α);
(2)

(1)
(2)-4

∵cos(π+α)=-
,∴-cosα=-
,cosα=
.
又角α在第四象限,∴sinα=-
=-
.
(1)sin(2π-α)=sin[2π+(-α)]=sin(-α)=-sinα=
.
(2)
=
=
=-4



又角α在第四象限,∴sinα=-


(1)sin(2π-α)=sin[2π+(-α)]=sin(-α)=-sinα=

(2)


=


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