若f(x)=2tanx-(2sin^(x/2)-1)/(sin(x/2)cos(x/2)),则f(π/12)的值是

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若f(x)=2tanx-(2sin^(x/2)-1)/(sin(x/2)cos(x/2)),则f(π/12)的值是

若f(x)=2tanx-(2sin^(x/2)-1)/(sin(x/2)cos(x/2)),则f(π/12)的值是
若f(x)=2tanx-(2sin^(x/2)-1)/(sin(x/2)cos(x/2)),则f(π/12)的值是

若f(x)=2tanx-(2sin^(x/2)-1)/(sin(x/2)cos(x/2)),则f(π/12)的值是
f(x)=2tanx+2cos(x)/sin(x)=2tanx+2cotx
tan(x+y)=(tanx+tany)/(1-tanxtany)
tan(x+π/2-y)=(tanx+coty)/(1-tanxcoty)
f(π/12)=2(tan(π/12)+cot(π/12))=2/(sin(π/12)cos(π/12))=4/sin(π/6)=8

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