sin(x+pai/6)+sin(x-pai/6)=

题目

sin(x+pai/6)+sin(x-pai/6)=

答案

sin(x+π/6)+sin(x-π/6)
=sinxcos(π/6)+cosxsin(π/6)+sinxcos(π/6)-cosxsin(π/6)
=2sinxcos(π/6)
=2sinx(√3/2)
=√3sinx