若cos(x-π3)=75,则sin(x+π6)=______.-数学

题目简介

若cos(x-π3)=75,则sin(x+π6)=______.-数学

题目详情

cos(x-
π
3
)=
7
5
,则sin(x+
π
6
)
=______.
题型:填空题难度:偏易来源:不详

答案

∵cos(x-class="stub"π
3
)=
7
5

∴sin(x+class="stub"π
6
)=sin[class="stub"π
2
+(x-class="stub"π
3
)]=cos(x-class="stub"π
3
)=
7
5

故答案为:
7
5

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