化简题

（3）√3sin(x/2)+cos(x/2)
=2{[√3sin(x/2)]/2+[cos(x/2)]/2}
=2[sin(x/2)*cos(π/6)+cos(x/2)*sin(π/6)]
=2sin(x/2+π/6)
（4）[tan(5π/4)+tan(5π/12)]/[1-tan(5π/12)]
=[tan(π/4)+tan(5π/12)]/[1-tan(5π/12)]
=[tan(π/4)+tan(5π/12)]/[1-tan(π/4)*tan(5π/12)] (因为tan(π/4)=1)
=tan(π/4+5π/12) （用到公式 tan(α+β)=(tanα+tanβ)/(1-tanα·tanβ)）
=tan(2π/3)
=-√3