Question 401634
{{{ sin(x+60)-cos(x+30)}}}
Use FORMULAS {{{sin(a+b)=sina*cosb+cosa*sinb}}}
_____________{{{cos(a+b)=cosa*cosb-sina*sinb}}}
{{{sin(x+60)=sinx*cos60+cosx*sin60}}}
{{{sin60=sqrt(3)/2}}}, {{{cos60=1/2}}}
{{{sinx*cos60+cosx*sin60=(1/2)sinx+(sqrt(3)/2)cosx}}}
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{{{cos(x+30)=cosx*cos30-sinx*sin30}}}
{{{cos30=sqrt(3)/2}}}, {{{sin60=1/2}}}
{{{cosx*cos30-sinx*sin30=(sqrt(3)/2)cosx-(1/2)sinx}}}
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{{{ sin(x+60)-cos(x+30)=(1/2)sinx+(sqrt(3)/2)cosx-((sqrt(3)/2)cosx-(1/2)sinx)=(1/2)sinx+(sqrt(3)/2)cosx-(sqrt(3)/2)cosx+(1/2)sinx=sinx}}}