SOLUTION: What is the horizontal shift including the direction of {{{ y=-3sin((1/2)theta + pi/6) }}}

We factor  out of 



So we divide  by  to find out
what we get when we factor  out of  



Invert the second and multiply:



So when we factor out the , we get

, which means the original 
equation is



The horizontal shift is  to the left, because 
the sign preceding  is +.

Edwin