已知sin(x+π/6)=1/4,则sin(7π+x)+sin^2(5π/6-x)的值

-sin(π+x)=sinx -sin(-π+x)=sinx
前面项是-1/4
由sinx=-sin(-x)得:sin(5π/6-x) = -sin(x-5π/6) = -sin(x+π/6-π) = sin(x+π/6) = 1/4
原式=-1/4+1/16=-3/16