an是等差数列,a1+a7+a13=4派,求tan(a2+a12)的值?

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an是等差数列,a1+a7+a13=4派,求tan(a2+a12)的值?
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an是等差数列,a1+a7+a13=4派,求tan(a2+a12)的值?
an是等差数列,a1+a7+a13=4派,求tan(a2+a12)的值?

an是等差数列,a1+a7+a13=4派,求tan(a2+a12)的值?
因为a1+a7+a13=4π,2a7=a1+a13,所以3a7=4π,a7=(4/3)π
a2+a12=2a7,
所以tan(a2+a12)=tan(2a7)=tan(8/3π)=-tan(π/3)
tan=-根号3