作业帮f（X）=（1+根号下3倍的tanX）/[1+(tanX)平方],求单调递增区间
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f（X）=（1+根号下3倍的tanX）/[1+(tanX)平方],求单调递增区间
f（X）=（1+根号下3倍的tanX）/[1+(tanX)平方],求单调递增区间
f（X）=（1+根号下3倍的tanX）/[1+(tanX)平方],求单调递增区间
f(x) =(1+√3tanx)/(1+tan^2x).
f(x)=1+√3tanx)/sec^2x.
=(1+√3tanx)*cos^2x.
=cos^2x+√3sinxcosx.
=(1+cos2x)/2+√3/2*sin2x.
=(1/2)cos2x+√3/2sin2x+1/2.
=sin2xcos30+sin30cos2x+1/2.
∴f(x)=sin(2x+π/6)+1/2.
∵ 2kπ-π/2