You can put this solution on YOUR website! Simplify sin (x+5pi/6) −sin (x−5pi/6)
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Identity: sin(x+y)=sinxcosy+cosxsiny
Identity: sin(x-y)=sinxcosy-cosxsiny
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sin (x+5π/6) −sin (x−5π/6)
[sinx*cos(5π/6)+cosx*sin(5π/6)]-[sinx*cos(5π/6)-cosx*sin(5π/6)]
[sinx*-√3/2+cosx*(1/2)]-[sinx*-√3/2)-cosx*(1/2)]
cosx/2+cosx/2=cosx
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