题目内容
设α为锐角,若cos=
,则sin(2α+
)=__________.
【解析】设α+=θ,cosθ=
,sinθ=
,sin2θ=2sinθcosθ=
,cos2θ=2cos2θ-1=
,sin
=sin
=sin2θ·cos
-cos2θ·sin
=
.
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题目内容
设α为锐角,若cos=
,则sin(2α+
)=__________.
【解析】设α+=θ,cosθ=
,sinθ=
,sin2θ=2sinθcosθ=
,cos2θ=2cos2θ-1=
,sin
=sin
=sin2θ·cos
-cos2θ·sin
=
.