已知等差数列{an}满足:a1005=4π3,则tan(a1+a2009)=______.-数学

题目简介

已知等差数列{an}满足:a1005=4π3,则tan(a1+a2009)=______.-数学

题目详情

已知等差数列{an}满足:a1005=
3
,则tan(a1+a2009
)=______.
题型:填空题难度:偏易来源:不详

答案

∵等差数列中a1005=class="stub"4π
3

a1+a2009=2a1005=class="stub"8π
3

∴tan(a1+a2009)
=tanclass="stub"8
3
π

=-tanclass="stub"π
3

=-
3

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