document.write( "Question 933242: I'm struggling with rewriting sin(x-4pi/3). I know it equals sinxcos4pi/3-sin4pi/3cosx and that cos4pi/3 equals (-1/2) and that sin 4pi/3 equals (-sqrt3/2) but I don't know where to go from there. \n" ); document.write( "
Algebra.Com's Answer #566722 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! I'm struggling with rewriting sin(x-4pi/3). I know it equals sinxcos4pi/3-sin4pi/3cosx and that cos4pi/3 equals (-1/2) and that sin 4pi/3 equals (-sqrt3/2) but I don't know where to go from there. \n" ); document.write( "*** \n" ); document.write( "sin(x-4π/3) \n" ); document.write( "=sinxcos(4π/3)-cosxsin(4π/3) \n" ); document.write( "=sinx*(-1/2)-cosx*(-√3/2) \n" ); document.write( "=-sinx/2+√3cosx/2 \n" ); document.write( "=(sinx+√3cosx)/2 \n" ); document.write( " |