You can put this solution on YOUR website! evaluate the fucntion with out using a calculator sin(-13pi/6)
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-13π/6=-2π-π/6
This is like going one revolution clockwise,+π/6, terminating in quadrant IV with a reference angle of π/6.
sin(-13pi/6)=sin(π/6)=-1/2 (In quadrant IV where sin<0)