Question

Question #fa554

Answer 1

`sin(pi/3+7/6pi)+ sin(pi/3)+ sin(7/6pi)`

`=sin(2/6pi+7/6pi)+ sin(pi/3)+ sin(pi+pi/6)`

`=sin(9/6pi)+ sin(pi/3)-sin(pi/6)`

`=sin(3/2pi)+ sin(pi/3)-sin(pi/6)`

`=sin(pi+pi/2)+ sin(pi/3)-sin(pi/6)`

`=-sin(pi/2)+ sin(pi/3)-sin(pi/6)`

`=-1+sqrt3/2-1/2`

`=-3/2+sqrt3/2`

`=1/2(sqrt3-3)`